23138264822400
23,138,264,822,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 23138264822400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
23138264822400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 23138264822400:
27 × 35 × 52 × 7 × 132 × 25153
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 13 × 25153)See below for interesting mathematical facts about the number 23138264822400 from the Numbermatics database.
Names of 23138264822400
- Cardinal: 23138264822400 can be written as Twenty-three trillion, one hundred thirty-eight billion, two hundred sixty-four million, eight hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.31382648224 × 1013
Factors of 23138264822400
Divisors of 23138264822400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 54 56 60 63 64 65 70 72 75 78 80 81 84 90 91 96 100 104 105 108 112 117 120 126 128 130 135 140 144 150 156 160 162 168 169 175 180 182 189 192 195 200 208 210 216 224 225 234 240 243 252 260 270 273 280 288 300 312 315 320 324 325 336 338 350 351 360 364 378 384 390 400 405 416 420 432 448 450 455 468 480 486 504 507 520 525 540 546 560 567 576 585 600 624 630 640 648 650 672 675 676 700 702 720 728 756 780 800 810 819 832 840 845 864 896 900 910 936 945 960 972 975 1008 1014 1040 1050 1053 1080 1092 1120 1134 1152 1170 1183 1200 1215 1248 1260 1296 1300 1344 1350 1352 1365 1400 1404 1440 1456 1512 1521 1560 1575 1600 1620 1638 1664 1680 1690 1701 1728 1755 1800 1820 1872 1890 1920 1944 1950 2016 2025 2028 2080 2100 2106 2160 2184 2240 2268 2275 2340 2366 2400 2430 2457 2496 2520 2535 2592 2600 2688 2700 2704 2730 2800 2808 2835 2880 2912 2925 3024 3042 3120 3150 3159 3200 3240 3276 3360 3380 3402 3456 3510 3549 3600 3640 3744 3780 3888 3900 4032 4050 4056 4095 4160 4200 4212 4225 4320 4368 4480 4536 4550 4563 4680 4725 4732 4800 4860 4914 4992 5040 5070 5184 5200 5265 5400 5408 5460 5600 5616 5670 5760 5824 5850 5915 6048 6075 6084 6240 6300 6318 6480 6552 6720 6760 6804 6825 7020 7098 7200 7280 7371 7488 7560 7605 7776 7800 8064 8100 8112 8190 8320 8400 8424 8450 8505 8640 8736 8775 9072 9100 9126 9360 9450 9464 9600 9720 9828 10080 10140 10368 10400 10530 10647 10800 10816 10920 11200 11232 11340 11648 11700 11830 12096 12150 12168 12285 12480 12600 12636 12675 12960 13104 13440 13520 13608 13650 13689 14040 14175 14196 14400 14560 14742 14976 15120 15210 15552 15600 15795 16200 16224 16380 16800 16848 16900 17010 17280 17472 17550 17745 18144 18200 18252 18720 18900 18928 19440 19656 20160 20280 20475 20800 21060 21294 21600 21632 21840 22113 22400 22464 22680 22815 23400 23660 24192 24300 24336 24570 24960 25153 25200 25272 25350 25920 26208 26325 27040 27216 27300 27378 28080 28350 28392 28800 29120 29484 29575 30240 30420 31104 31200 31590 31941 32400 32448 32760 33600 33696 33800 34020 34944 35100 35490 36288 36400 36504 36855 37440 37800 37856 38025 38880 39312 40320 40560 40950 41067 41600 42120 42525 42588 43200 43680 44226 44928 45360 45630 46800 47320 48600 48672 49140 50306 50400 50544 50700 51840 52416 52650 53235 54080 54432 54600 54756 56160 56700 56784 58240 58968 59150 60480 60840 61425 62400 63180 63882 64800 64896 65520 67200 67392 67600 68040 68445 70200 70980 72576 72800 73008 73710 74880 75459 75600 75712 76050 77760 78624 78975 81120 81900 82134 84240 85050 85176 86400 87360 88452 88725 90720 91260 93600 94640 95823 97200 97344 98280 100612 100800 101088 101400 104832 105300 106470 108160 108864 109200 109512 110565 112320 113400 113568 114075 117936 118300 120960 121680 122850 124800 125765 126360 127764 129600 131040 134784 135200 136080 136890 140400 141960 145600 146016 147420 150918 151200 151424 152100 155520 157248 157950 159705 162240 163800 164268 168480 170100 170352 174720 176071 176904 177450 181440 182520 184275 187200 189280 191646 194400 194688 196560 201224 201600 202176 202800 205335 210600 212940 217728 218400 219024 221130 224640 226377 226800 227136 228150 235872 236600 243360 245700 251530 252720 255528 259200 262080 266175 270400 272160 273780 280800 283920 287469 291200 292032 294840 301836 302400 304200 314496 315900 319410 324480 326989 327600 328536 336960 340200 340704 342225 352142 353808 354900 362880 365040 368550 374400 377295 378560 383292 388800 393120 402448 404352 405600 410670 421200 425880 436800 438048 442260 452754 453600 454272 456300 471744 473200 479115 486720 491400 503060 505440 511056 524160 528213 532350 540800 544320 547560 552825 561600 567840 574938 584064 589680 603672 604800 608400 628825 631800 638820 653978 655200 657072 673920 679131 680400 681408 684450 704284 707616 709800 730080 737100 754590 757120 766584 777600 786240 798525 804896 811200 821340 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684564048 686676900 688638834 706296240 713087550 714143976 724406400 732455360 741611052 743899975 760626720 765154260 782358912 784773600 794583270 803411973 814957200 816164544 824012280 845140800 847555488 850171400 855705060 878946432 882870300 892679970 912752064 915569200 918185112 919900800 927013815 941728320 950783400 952191968 956442825 977948640 988814736 1014168960 1020205680 1030015350 1032958251 1046364800 1059444360 1069631325 1071215964 1086609600 1098683040 1112416578 1130073984 1140940080 1147731390 1177160400 1190239960 1222435800 1224246816 1236018420 1267711200 1271333232 1275257100 1303931520 1318419648 1324305450 1339019955 1360274240 1369128096 1373353800 1377277668 1412592480 1426175100 1428287952 1464910720 1483222104 1487799950 1521253440 1530308520 1545023025 1569547200 1589166540 1606823946 1629914400 1632329088 1648024560 1690281600 1695110976 1700342800 1711410120 1721597085 1765740600 1785359940 1825504128 1831138400 1836370224 1854027630 1883456640 1901566800 1904383936 1912885650 1955897280 1977629472 1986458175 2040411360 2060030700 2065916502 2118888720 2139262650 2142431928 2173219200 2197366080 2224833156 2231699925 2281880160 2295462780 2354320800 2380479920 2410235919 2444871600 2448493632 2472036840 2535422400 2542666464 2550514200 2636839296 2648610900 2678039910 2720548480 2738256192 2746707600 2754555336 2781041445 2825184960 2852350200 2856575904 2869328475 2966444208 2975599900 3042506880 3060617040 3090046050 3139094400 3178333080 3213647892 3259828800 3296049120 3390221952 3400685600 3422820240 3443194170 3531481200 3570719880 3662276800 3672740448 3708055260 3803133600 3808767872 3825771300 3911794560 3955258944 3972916350 4017059865 4080822720 4120061400 4131833004 4237777440 4278525300 4284863856 4394732160 4449666312 4463399850 4563760320 4590925560 4635069075 4708641600 4760959840 4820471838 4889743200 4896987264 4944073680 5070844800 5085332928 5101028400 5164791255 5297221800 5356079820 5476512384 5493415200 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18363702240 18540276300 19043839360 19281887352 19558972800 19776294720 20085299325 20404113600 20659165020 21188887200 21424319280 21973660800 22036442688 22248331560 22818801600 22954627800 23731553664 23804799200 24102359190 24484936320 24720368400 25426664640 25709183136 25823956275 26780399100 27382561920 27545553360 27810414450 28251849600 28565759040 28922831028 29664442080 30606170400 31783330800 32136478920 32960491200 33054664032 34228202400 34278910848 34431941700 35597330496 35707198800 36153538785 36727404480 37080552600 38563774704 39552589440 40170598650 40808227200 41318330040 42377774400 42848638560 44072885376 44496663120 45637603200 45909255600 47609598400 48204718380 49440736800 50853329280 51418366272 51647912550 53560798200 55091106720 55620828900 57131518080 57845662056 59328884160 60255897975 61212340800 63566661600 64272957840 65920982400 66109328064 68456404800 68863883400 71194660992 71414397600 72307077570 73454808960 74161105200 77127549408 80341197300 82636660080 84755548800 85697277120 88993326240 91818511200 95219196800 96409436760 98881473600 102836732544 103295825100 107121596400 110182213440 111241657800 115691324112 118657768320 120511795950 122424681600 127133323200 128545915680 132218656128 136912809600 137727766800 142828795200 144614155140 148322210400 154255098816 160682394600 165273320160 171394554240 177986652480 180767693925 183637022400 192818873520 197762947200 206591650200 214243192800 220364426880 222483315600 231382648224 241023591900 254266646400 257091831360 275455533600 285657590400 289228310280 296644420800 308510197632 321364789200 330546640320 355973304960 361535387850 367274044800 385637747040 413183300400 428486385600 444966631200 462765296448 482047183800 514183662720 550911067200 578456620560 593288841600 642729578400 661093280640 723070775700 771275494080 826366600800 856972771200 889933262400 925530592896 964094367600 1101822134400 1156913241120 1285459156800 1446141551400 1542550988160 1652733201600 1779866524800 1928188735200 2313826482240 2570918313600 2892283102800 3305466403200 3856377470400 4627652964480 5784566205600 7712754940800 11569132411200 23138264822400
- Sum of all divisors σ(n): 105962303603520
- Sum of proper divisors (its aliquot sum) s(n): 82824038781120
- 23138264822400 is an abundant number, because the sum of its proper divisors (82824038781120) is greater than itself. Its abundance is 59685773958720
Bases of 23138264822400
- Binary: 1010100001011010011000000111000110010100000002
- Hexadecimal: 0x150B4C0E3280
- Base-36: 879KLGO00
Squares and roots of 23138264822400
- 23138264822400 squared (231382648224002) is 535379298991513303541760000
- 23138264822400 cubed (231382648224003) is 12387748000496504067481918737383424000000
-
The
square root of 23138264822400 is 4810225.0282497179 -
The
cube root of 23138264822400 is 28495.5424740507
Scales and comparisons
How big is 23138264822400?- 23,138,264,822,400 seconds is equal to 735,725 years, 13 weeks.
-
To count from 1 to 23,138,264,822,400 would take you about one million, eight hundred thirty-nine thousand, three hundred thirteen 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 23138264822400 cubic inches would be around 2374.6 feet tall.
Recreational maths with 23138264822400
- 23138264822400 backwards is 00422846283132
- 23138264822400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 23138264822400's digits is 45
- More coming soon!
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The information we have on file for 23138264822400 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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