48972102144000
48,972,102,144,000 is an even composite number composed of five prime numbers multiplied together.
48972102144000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred fifty-six divisors.
Prime factorization of 48972102144000:
212 × 3 × 53 × 76 × 271
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 271)See below for interesting mathematical facts about the number 48972102144000 from the Numbermatics database.
Names of 48972102144000
- Cardinal: 48972102144000 can be written as Forty-eight trillion, nine hundred seventy-two billion, one hundred two million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.8972102144 × 1013
Factors of 48972102144000
Divisors of 48972102144000
- Number of divisors d(n): 1456
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 125 128 140 147 150 160 168 175 192 196 200 210 224 240 245 250 256 271 280 294 300 320 336 343 350 375 384 392 400 420 448 480 490 500 512 525 542 560 588 600 640 672 686 700 735 750 768 784 800 813 840 875 896 960 980 1000 1024 1029 1050 1084 1120 1176 1200 1225 1280 1344 1355 1372 1400 1470 1500 1536 1568 1600 1626 1680 1715 1750 1792 1897 1920 1960 2000 2048 2058 2100 2168 2240 2352 2400 2401 2450 2560 2625 2688 2710 2744 2800 2940 3000 3072 3136 3200 3252 3360 3430 3500 3584 3675 3794 3840 3920 4000 4065 4096 4116 4200 4336 4480 4704 4800 4802 4900 5120 5145 5250 5376 5420 5488 5600 5691 5880 6000 6125 6144 6272 6400 6504 6720 6775 6860 7000 7168 7203 7350 7588 7680 7840 8000 8130 8232 8400 8575 8672 8960 9408 9485 9600 9604 9800 10240 10290 10500 10752 10840 10976 11200 11382 11760 12000 12005 12250 12288 12544 12800 13008 13279 13440 13550 13720 14000 14336 14406 14700 15176 15360 15680 16000 16260 16464 16800 16807 17150 17344 17920 18375 18816 18970 19200 19208 19600 20325 20480 20580 21000 21504 21680 21952 22400 22764 23520 24000 24010 24500 25088 25600 25725 26016 26558 26880 27100 27440 28000 28455 28672 28812 29400 30352 30720 31360 32000 32520 32928 33600 33614 33875 34300 34688 35840 36015 36750 37632 37940 38400 38416 39200 39837 40650 41160 42000 42875 43008 43360 43904 44800 45528 47040 47425 48000 48020 49000 50176 50421 51200 51450 52032 53116 53760 54200 54880 56000 56910 57624 58800 60025 60704 61440 62720 64000 65040 65856 66395 67200 67228 67750 68600 69376 71680 72030 73500 75264 75880 76800 76832 78400 79674 81300 82320 84000 84035 85750 86016 86720 87808 89600 91056 92953 94080 94850 96000 96040 98000 100352 100842 101625 102400 102900 104064 106232 107520 108400 109760 112000 113820 115248 117600 117649 120050 121408 125440 128000 128625 130080 131712 132790 134400 134456 135500 137200 138752 142275 143360 144060 147000 150528 151760 153600 153664 156800 159348 162600 164640 168000 168070 171500 173440 175616 179200 180075 182112 185906 188160 189700 192000 192080 196000 199185 200704 201684 203250 205800 208128 212464 215040 216800 219520 224000 227640 230496 235200 235298 237125 240100 242816 250880 252105 256000 257250 260160 263424 265580 268800 268912 271000 274400 277504 278859 284550 288120 294000 300125 301056 303520 307200 307328 313600 318696 325200 329280 331975 336000 336140 343000 346880 351232 352947 358400 360150 364224 371812 376320 379400 384000 384160 392000 398370 403368 406500 411600 416256 420175 424928 430080 433600 439040 448000 455280 460992 464765 470400 470596 474250 480200 485632 501760 504210 512000 514500 520320 526848 531160 537600 537824 542000 548800 555008 557718 569100 576240 588000 588245 600250 602112 607040 614656 627200 637392 650400 650671 658560 663950 672000 672280 686000 693760 702464 705894 711375 716800 720300 728448 743624 752640 758800 768000 768320 784000 796740 806736 813000 823200 832512 840350 849856 867200 878080 896000 900375 910560 921984 929530 940800 941192 948500 960400 971264 995925 1003520 1008420 1029000 1040640 1053696 1062320 1075200 1075648 1084000 1097600 1110016 1115436 1138200 1152480 1176000 1176490 1200500 1214080 1229312 1254400 1260525 1274784 1300800 1301342 1317120 1327900 1344000 1344560 1372000 1387520 1394295 1404928 1411788 1422750 1440600 1456896 1487248 1505280 1517600 1536000 1536640 1568000 1593480 1613472 1626000 1646400 1659875 1665024 1680700 1699712 1734400 1756160 1764735 1792000 1800750 1821120 1843968 1859060 1881600 1882384 1897000 1920800 1942528 1952013 1991850 2016840 2058000 2081280 2100875 2107392 2124640 2150400 2151296 2168000 2195200 2230872 2276400 2304960 2323825 2352000 2352980 2401000 2428160 2458624 2508800 2521050 2549568 2601600 2602684 2634240 2655800 2688000 2689120 2744000 2775040 2788590 2823576 2845500 2881200 2913792 2941225 2974496 3010560 3035200 3073280 3136000 3186960 3226944 3252000 3253355 3292800 3319750 3330048 3361400 3399424 3468800 3512320 3529470 3584000 3601500 3642240 3687936 3718120 3763200 3764768 3794000 3841600 3885056 3904026 3983700 4033680 4116000 4162560 4201750 4214784 4249280 4302592 4336000 4390400 4461744 4552800 4554697 4609920 4647650 4704000 4705960 4802000 4856320 4917248 4979625 5017600 5042100 5099136 5203200 5205368 5268480 5311600 5376000 5378240 5488000 5550080 5577180 5647152 5691000 5762400 5827584 5882450 5948992 6070400 6146560 6272000 6302625 6373920 6453888 6504000 6506710 6585600 6639500 6722800 6798848 6937600 6971475 7024640 7058940 7203000 7284480 7375872 7436240 7526400 7529536 7588000 7683200 7770112 7808052 7967400 8067360 8232000 8325120 8403500 8498560 8605184 8672000 8780800 8823675 8923488 9105600 9109394 9219840 9295300 9408000 9411920 9604000 9712640 9760065 9834496 9959250 10084200 10198272 10406400 10410736 10536960 10623200 10752000 10756480 10976000 11154360 11294304 11382000 11524800 11619125 11655168 11764900 11897984 12140800 12293120 12544000 12605250 12747840 12907776 13008000 13013420 13171200 13279000 13445600 13597696 13664091 13875200 13942950 14117880 14406000 14568960 14706125 14751744 14872480 15052800 15059072 15176000 15366400 15616104 15934800 16134720 16266775 16464000 16650240 16807000 16997120 17210368 17344000 17561600 17647350 17846976 18211200 18218788 18439680 18590600 18816000 18823840 19208000 19425280 19520130 19918500 20168400 20396544 20812800 20821472 21073920 21246400 21512960 21952000 22308720 22588608 22764000 22773485 23049600 23238250 23310336 23529800 23795968 24281600 24586240 25088000 25210500 25495680 25815552 26016000 26026840 26342400 26558000 26891200 27195392 27328182 27750400 27885900 28235760 28812000 29137920 29412250 29503488 29744960 30118144 30352000 30732800 31232208 31869600 31882879 32269440 32533550 32928000 33614000 33994240 34420736 34688000 34857375 35123200 35294700 35693952 36422400 36437576 36879360 37181200 37632000 37647680 38416000 38850560 39040260 39837000 40336800 40793088 41625600 41642944 42492800 43025920 43904000 44118375 44617440 45177216 45528000 45546970 46099200 46476500 47059600 47591936 48563200 48800325 49172480 50421000 50991360 51631104 52032000 52053680 52684800 53116000 53782400 54390784 54656364 55771800 56471520 57624000 58275840 58824500 59489920 60236288 60704000 61465600 62464416 63739200 63765758 64538880 65067100 65856000 67228000 67988480 68320455 68841472 69376000 69714750 70589400 71387904 72844800 72875152 73758720 74362400 75264000 75295360 76832000 78080520 79674000 80673600 81333875 81586176 83251200 83285888 84985600 86051840 87808000 88236750 89234880 90354432 91056000 91093940 92198400 92953000 94119200 95183872 95648637 97126400 97600650 100842000 101982720 103262208 104064000 104107360 105369600 106232000 107564800 109312728 111543600 112943040 113867425 115248000 116551680 117649000 118979840 120472576 121408000 122931200 124928832 127478400 127531516 129077760 130134200 131712000 134456000 135976960 136640910 138752000 139429500 141178800 142775808 145689600 145750304 147517440 148724800 150590720 153664000 156161040 159348000 159414395 161347200 162667750 163172352 166571776 169971200 172103680 175616000 176473500 178469760 180708864 182112000 182187880 184396800 185906000 188238400 190367744 191297274 194252800 195201300 201684000 203965440 206524416 208128000 208214720 212464000 215129600 218625456 223087200 225886080 227734850 230496000 235298000 237959680 240945152 242816000 244001625 245862400 249857664 254956800 255063032 258155520 260268400 263424000 268912000 271953920 273281820 278859000 282357600 285551616 291379200 291500608 297449600 301181440 307328000 312322080 318696000 318828790 322694400 325335500 333143552 339942400 341602275 344207360 352947000 356939520 361417728 364224000 364375760 368793600 371812000 376476800 380735488 382594548 390402600 403368000 407930880 416256000 416429440 424928000 430259200 437250912 446174400 451772160 455469700 460992000 470596000 475919360 478243185 481890304 485632000 488003250 499715328 509913600 510126064 516311040 520536800 526848000 537824000 546563640 557718000 564715200 569337125 571103232 582758400 583001216 594899200 602362880 614656000 624644160 637392000 637657580 645388800 650671000 666287104 679884800 683204550 705894000 713879040 722835456 728448000 728751520 737587200 743624000 752953600 765189096 780805200 797071975 806736000 815861760 832858880 849856000 860518400 874501824 892348800 903544320 910939400 921984000 941192000 951838720 956486370 971264000 976006500 999430656 1019827200 1020252128 1032622080 1041073600 1075648000 1093127280 1115436000 1129430400 1138674250 1142206464 1166002432 1189798400 1204725760 1229312000 1249288320 1274784000 1275315160 1290777600 1301342000 1332574208 1359769600 1366409100 1411788000 1427758080 1445670912 1456896000 1457503040 1487248000 1505907200 1530378192 1561610400 1594143950 1613472000 1665717760 1699712000 1708011375 1721036800 1749003648 1784697600 1807088640 1821878800 1843968000 1882384000 1903677440 1912972740 1952013000 1998861312 2039654400 2040504256 2082147200 2151296000 2186254560 2230872000 2258860800 2277348500 2332004864 2379596800 2391215925 2409451520 2498576640 2549568000 2550630320 2581555200 2602684000 2665148416 2732818200 2823576000 2855516160 2913792000 2915006080 2974496000 3011814400 3060756384 3123220800 3188287900 3226944000 3331435520 3399424000 3416022750 3498007296 3569395200 3614177280 3643757600 3687936000 3764768000 3825945480 3904026000 3985359875 3997722624 4079308800 4081008512 4164294400 4302592000 4372509120 4461744000 4517721600 4554697000 4664009728 4759193600 4782431850 4997153280 5099136000 5101260640 5163110400 5205368000 5465636400 5647152000 5711032320 5830012160 5948992000 6023628800 6121512768 6246441600 6376575800 6453888000 6662871040 6798848000 6832045500 6996014592 7138790400 7228354560 7287515200 7529536000 7651890960 7808052000 7970719750 7995445248 8162017024 8328588800 8605184000 8745018240 8923488000 9035443200 9109394000 9328019456 9518387200 9564863700 9994306560 10198272000 10202521280 10410736000 10931272800 11294304000 11660024320 11897984000 11956079625 12047257600 12243025536 12492883200 12753151600 12907776000 13325742080 13664091000 13992029184 14277580800 14575030400 15059072000 15303781920 15616104000 15941439500 16324034048 16657177600 17490036480 17846976000 18070886400 18218788000 18656038912 19129727400 19988613120 20396544000 20405042560 20821472000 21862545600 22588608000 23320048640 23795968000 23912159250 24486051072 24985766400 25506303200 25815552000 27328182000 27984058368 28555161600 29150060800 30118144000 30607563840 31232208000 31882879000 32648068096 33314355200 34980072960 35693952000 36141772800 36437576000 38259454800 39977226240 40810085120 41642944000 43725091200 45177216000 46640097280 47591936000 47824318500 48972102144 49971532800 51012606400 54656364000 55968116736 58300121600 60236288000 61215127680 62464416000 63765758000 65296136192 66628710400 69960145920 71387904000 72875152000 76518909600 81620170240 83285888000 87450182400 90354432000 93280194560 95648637000 97944204288 99943065600 102025212800 109312728000 116600243200 122430255360 124928832000 127531516000 130592272384 139920291840 142775808000 145750304000 153037819200 163240340480 166571776000 174900364800 180708864000 191297274000 195888408576 199886131200 204050425600 218625456000 233200486400 244860510720 249857664000 255063032000 279840583680 291500608000 306075638400 326480680960 333143552000 349800729600 382594548000 391776817152 408100851200 437250912000 466400972800 489721021440 499715328000 510126064000 583001216000 612151276800 652961361920 699601459200 765189096000 816201702400 874501824000 979442042880 999430656000 1020252128000 1166002432000 1224302553600 1399202918400 1530378192000 1632403404800 1749003648000 1958884085760 2040504256000 2332004864000 2448605107200 3060756384000 3264806809600 3498007296000 4081008512000 4897210214400 6121512768000 6996014592000 8162017024000 9794420428800 12243025536000 16324034048000 24486051072000 48972102144000
- Sum of all divisors σ(n): 190820452782336
- Sum of proper divisors (its aliquot sum) s(n): 141848350638336
- 48972102144000 is an abundant number, because the sum of its proper divisors (141848350638336) is greater than itself. Its abundance is 92876248494336
Bases of 48972102144000
- Binary: 10110010001010001101001100000010010000000000002
- Hexadecimal: 0x2C8A34C09000
- Base-36: HCXH16ZUO
Squares and roots of 48972102144000
- 48972102144000 squared (489721021440002) is 2398266788402369396736000000
- 48972102144000 cubed (489721021440003) is 117448166130203668668575052201984000000000
-
The
square root of 48972102144000 is 6998007.0122857121 -
The
cube root of 48972102144000 is 36586.1111026749
Scales and comparisons
How big is 48972102144000?- 48,972,102,144,000 seconds is equal to 1,557,161 years, 19 weeks, 18 hours, 40 minutes.
-
To count from 1 to 48,972,102,144,000 would take you about three million, eight hundred ninety-two thousand, nine hundred three years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 48972102144000 cubic inches would be around 3048.8 feet tall.
Recreational maths with 48972102144000
- 48972102144000 backwards is 00044120127984
- 48972102144000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48972102144000's digits is 42
- More coming soon!
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The information we have on file for 48972102144000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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