238964768768000
238,964,768,768,000 is an even composite number composed of six prime numbers multiplied together.
238964768768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 238964768768000:
219 × 53 × 11 × 172 × 31 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 17 × 17 × 31 × 37)See below for interesting mathematical facts about the number 238964768768000 from the Numbermatics database.
Names of 238964768768000
- Cardinal: 238964768768000 can be written as Two hundred thirty-eight trillion, nine hundred sixty-four billion, seven hundred sixty-eight million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 2.38964768768 × 1014
Factors of 238964768768000
Divisors of 238964768768000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 31 32 34 37 40 44 50 55 62 64 68 74 80 85 88 100 110 124 125 128 136 148 155 160 170 176 185 187 200 220 248 250 256 272 275 289 296 310 320 340 341 352 370 374 400 407 425 440 496 500 512 527 544 550 578 592 620 629 640 680 682 704 740 748 775 800 814 850 880 925 935 992 1000 1024 1054 1088 1100 1147 1156 1184 1240 1258 1280 1360 1364 1375 1408 1445 1480 1496 1550 1600 1628 1700 1705 1760 1850 1870 1984 2000 2035 2048 2108 2125 2176 2200 2294 2312 2368 2480 2516 2560 2635 2720 2728 2750 2816 2890 2960 2992 3100 3145 3179 3200 3256 3400 3410 3520 3700 3740 3875 3968 4000 4070 4096 4216 4250 4352 4400 4588 4624 4625 4675 4736 4960 5032 5120 5270 5440 5456 5500 5632 5735 5780 5797 5920 5984 6200 6290 6358 6400 6512 6800 6820 6919 7040 7225 7400 7480 7750 7936 8000 8140 8192 8432 8500 8525 8704 8800 8959 9176 9248 9250 9350 9472 9920 10064 10175 10240 10540 10693 10880 10912 11000 11264 11470 11560 11594 11840 11968 12400 12580 12617 12716 12800 13024 13175 13600 13640 13838 14080 14450 14800 14960 15500 15725 15872 15895 16000 16280 16384 16864 17000 17050 17408 17600 17918 18352 18496 18500 18700 18944 19499 19840 20128 20350 20480 21080 21386 21760 21824 22000 22528 22940 23120 23188 23375 23680 23936 24800 25160 25234 25432 25600 26048 26350 27200 27280 27676 28160 28675 28900 28985 29600 29920 31000 31450 31744 31790 32000 32560 32768 33728 34000 34100 34595 34816 35200 35836 36125 36704 36992 37000 37400 37888 38998 39680 40256 40700 40960 42160 42625 42772 43520 43648 44000 44795 45056 45880 46240 46376 46750 47360 47872 49600 50320 50468 50864 50875 51200 52096 52700 53465 54400 54560 55352 56320 57350 57800 57970 59200 59840 62000 62900 63085 63488 63580 64000 65120 65536 65875 67456 68000 68200 69190 69632 70400 71672 72250 73408 73984 74000 74800 75776 77996 78625 79360 79475 80512 81400 81920 84320 85250 85544 87040 87296 88000 89590 90112 91760 92480 92752 93500 94720 95744 97495 98549 99200 100640 100936 101728 101750 102400 104192 105400 106930 108800 109120 110704 112640 114700 115600 115940 117623 118400 119680 124000 125800 126170 126976 127160 128000 130240 131072 131750 134912 136000 136400 138380 139264 140800 143344 143375 144500 144925 146816 147968 148000 149600 151552 155992 157250 158720 158950 161024 162800 163840 168640 170500 171088 172975 174080 174592 176000 179180 180224 183520 184960 185504 187000 189440 191488 194990 197098 198400 201280 201872 203456 203500 204800 208384 210800 213860 214489 217600 218240 221408 223975 225280 229400 231200 231880 235246 236800 239360 248000 251600 252340 253952 254320 256000 260480 262144 263500 267325 269824 272000 272800 276760 278528 281600 286688 286750 289000 289850 293632 295936 296000 299200 303104 311984 314500 315425 317440 317900 322048 325600 327680 331483 337280 341000 342176 345950 348160 349184 352000 358360 360448 367040 369920 371008 374000 378880 382976 389980 394196 396800 397375 402560 403744 406912 407000 409600 416768 421600 427720 428978 435200 436480 442816 447950 450560 458800 462400 463760 470492 473600 478720 487475 492745 496000 503200 504680 507904 508640 512000 520960 524288 527000 534650 539648 544000 545600 553520 557056 563200 573376 573500 578000 579700 587264 588115 591872 592000 598400 606208 623968 629000 630850 634880 635800 644096 651200 655360 662966 674560 682000 684352 691900 696320 698368 704000 716720 720896 724625 734080 739840 742016 748000 757760 765952 779960 788392 793600 794750 805120 807488 813824 814000 819200 833536 843200 855440 857956 864875 870400 872960 885632 895900 901120 917600 924800 927520 940984 947200 957440 974950 985490 992000 1006400 1009360 1015808 1017280 1024000 1041920 1054000 1069300 1072445 1079296 1088000 1091200 1107040 1114112 1119875 1126400 1146752 1147000 1156000 1159400 1174528 1176230 1183744 1184000 1196800 1212416 1247936 1258000 1261700 1269760 1271600 1288192 1302400 1310720 1325932 1336625 1349120 1364000 1368704 1383800 1392640 1396736 1408000 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6307136000 6389432320 6458507264 6459904000 6510592000 6614941696 6668288000 6788771840 6863648000 6907494400 7007764480 7028375552 7085056000 7292626000 7339212800 7467649024 7516979200 7527872000 7598243840 7708540928 7986790400 8073134080 8244428800 8268677120 8333557760 8485964800 8634368000 8759705600 8785469440 9068871680 9174016000 9334561280 9396224000 9469952000 9497804800 9635676160 9983488000 10091417600 10223091712 10305536000 10335846400 10416947200 10607456000 10862034944 10949632000 10981836800 11173888000 11336089600 11668201600 11742740480 11872256000 12044595200 12255232000 12614272000 12778864640 12917014528 12919808000 13021184000 13336576000 13577543680 13727296000 14015528960 14056751104 14170112000 14585252000 14678425600 14935298048 15033958400 15055744000 15196487680 15417081856 15973580800 16146268160 16537354240 16971929600 17268736000 17519411200 17570938880 18137743360 18348032000 18669122560 18792448000 18939904000 18995609600 19271352320 19966976000 20182835200 20611072000 20671692800 20833894400 21214912000 21724069888 21899264000 21963673600 22347776000 22672179200 23336403200 23485480960 23744512000 24089190400 25228544000 25557729280 25834029056 25839616000 26042368000 26673152000 27155087360 27454592000 28031057920 28113502208 28340224000 29170504000 29356851200 29870596096 30111488000 30834163712 31947161600 32292536320 33074708480 33943859200 34537472000 35038822400 35141877760 36696064000 37338245120 37584896000 37991219200 38542704640 39933952000 40365670400 41222144000 41343385600 41667788800 42429824000 43448139776 43798528000 43927347200 45344358400 46672806400 47489024000 48178380800 50457088000 51115458560 51668058112 51679232000 52084736000 54310174720 54909184000 56227004416 56680448000 58341008000 58713702400 59741192192 60222976000 61668327424 63894323200 64585072640 67887718400 70077644800 70283755520 73392128000 74676490240 75169792000 75982438400 77085409280 79867904000 80731340800 82686771200 84859648000 86896279552 87597056000 87854694400 90688716800 93345612800 94978048000 96356761600 100914176000 103358464000 104169472000 108620349440 109818368000 112454008832 113360896000 116682016000 117427404800 119482384384 120445952000 127788646400 129170145280 135775436800 140155289600 140567511040 146784256000 149352980480 154170818560 159735808000 161462681600 165373542400 169719296000 173792559104 175194112000 175709388800 186691225600 189956096000 192713523200 201828352000 206716928000 208338944000 217240698880 219636736000 226721792000 233364032000 238964768768 240891904000 255577292800 258340290560 271550873600 281135022080 293568512000 298705960960 308341637120 319471616000 322925363200 339438592000 350388224000 351418777600 373382451200 379912192000 385427046400 403656704000 413433856000 434481397760 439273472000 453443584000 466728064000 477929537536 481783808000 543101747200 562270044160 587137024000 597411921920 638943232000 645850726400 678877184000 700776448000 702837555200 746764902400 770854092800 807313408000 826867712000 868962795520 878546944000 933456128000 955859075072 963567616000 1086203494400 1194823843840 1277886464000 1291701452800 1357754368000 1405675110400 1493529804800 1541708185600 1614626816000 1757093888000 1866912256000 1911718150144 1927135232000 2172406988800 2389647687680 2715508736000 2811350220800 2987059609600 3229253632000 3514187776000 3733824512000 3854270464000 4344813977600 4779295375360 5431017472000 5974119219200 6458507264000 7028375552000 7467649024000 7708540928000 9558590750720 10862034944000 11948238438400 14056751104000 14935298048000 21724069888000 23896476876800 29870596096000 47792953753600 59741192192000 119482384384000 238964768768000
- Sum of all divisors σ(n): 732786220108800
- Sum of proper divisors (its aliquot sum) s(n): 493821451340800
- 238964768768000 is an abundant number, because the sum of its proper divisors (493821451340800) is greater than itself. Its abundance is 254856682572800
Bases of 238964768768000
- Binary: 1101100101010110010100100010100000000000000000002
- Hexadecimal: 0xD95652280000
- Base-36: 2CPEWDFQBK
Squares and roots of 238964768768000
- 238964768768000 squared (2389647687680002) is 57104160712343708237824000000
- 238964768768000 cubed (2389647687680003) is 13645882560315924402391268911480832000000000
-
The
square root of 238964768768000 is 15458485.3322697823 -
The
cube root of 238964768768000 is 62055.1684441941
Scales and comparisons
How big is 238964768768000?- 238,964,768,768,000 seconds is equal to 7,598,340 years, 24 weeks, 6 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 238,964,768,768,000 would take you about eighteen million, nine hundred ninety-five thousand, eight hundred fifty-one 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 238964768768000 cubic inches would be around 5171.3 feet tall.
Recreational maths with 238964768768000
- 238964768768000 backwards is 000867867469832
- 238964768768000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 238964768768000's digits is 74
- More coming soon!
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"Number 238964768768000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 238964768768000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/238964768768000/
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The information we have on file for 238964768768000 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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