131948382978048
131,948,382,978,048 is an even composite number composed of six prime numbers multiplied together.
What does the number 131948382978048 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1632 divisors.
131948382978048 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred thirty-two divisors.
Prime factorization of 131948382978048:
216 × 3 × 7 × 133 × 172 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 13 × 17 × 17 × 151)See below for interesting mathematical facts about the number 131948382978048 from the Numbermatics database.
Names of 131948382978048
- Cardinal: 131948382978048 can be written as One hundred thirty-one trillion, nine hundred forty-eight billion, three hundred eighty-two million, nine hundred seventy-eight thousand and forty-eight.
Scientific notation
- Scientific notation: 1.31948382978048 × 1014
Factors of 131948382978048
Divisors of 131948382978048
- Number of divisors d(n): 1632
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 32 34 39 42 48 51 52 56 64 68 78 84 91 96 102 104 112 119 128 136 151 156 168 169 182 192 204 208 221 224 238 256 272 273 289 302 312 336 338 357 364 384 408 416 442 448 453 476 507 512 544 546 578 604 624 663 672 676 714 728 768 816 832 867 884 896 906 952 1014 1024 1057 1088 1092 1156 1183 1208 1248 1326 1344 1352 1428 1456 1536 1547 1632 1664 1734 1768 1792 1812 1904 1963 2023 2028 2048 2114 2176 2184 2197 2312 2366 2416 2496 2567 2652 2688 2704 2856 2873 2912 3072 3094 3171 3264 3328 3468 3536 3549 3584 3624 3757 3808 3926 4046 4056 4096 4228 4352 4368 4394 4624 4641 4732 4832 4992 5134 5304 5376 5408 5712 5746 5824 5889 6069 6144 6188 6342 6528 6591 6656 6936 7072 7098 7168 7248 7514 7616 7701 7852 8092 8112 8192 8456 8619 8704 8736 8788 9248 9282 9464 9664 9984 10268 10608 10752 10816 11271 11424 11492 11648 11778 12138 12288 12376 12684 13056 13182 13312 13741 13872 14144 14196 14336 14496 15028 15232 15379 15402 15704 16184 16224 16384 16912 17238 17408 17472 17576 17969 18496 18564 18928 19328 19968 20111 20536 21216 21504 21632 22542 22848 22984 23296 23556 24276 24576 24752 25368 25519 26112 26299 26364 26624 27482 27744 28288 28392 28672 28992 30056 30464 30758 30804 31408 32368 32448 32768 33371 33824 34476 34816 34944 35152 35938 36992 37128 37349 37856 38656 39936 40222 41072 41223 42432 43008 43264 43639 45084 45696 45968 46137 46592 47112 48552 48841 49152 49504 50736 51038 52224 52598 52728 53248 53907 54964 55488 56576 56784 57344 57984 60112 60333 60928 61516 61608 62816 64736 64896 65536 66742 67648 68952 69632 69888 70304 71876 73984 74256 74698 75712 76557 77312 78897 79872 80444 82144 82446 84864 86016 86528 87278 90168 91392 91936 92274 93184 94224 97104 97682 98304 99008 100113 101472 102076 104448 105196 105456 106496 107814 109928 110976 112047 113152 113568 114688 115968 120224 120666 121856 123032 123216 125632 129472 129792 130917 133484 135296 137904 139264 139776 140608 143752 146523 147968 148512 149396 151424 153114 154624 157794 159744 160888 164288 164892 169728 172032 173056 174556 178633 180336 182784 183872 184548 186368 188448 194208 195364 196608 198016 200226 202944 204152 208896 210392 210912 212992 215628 219856 221952 224094 226304 227136 229376 231936 233597 240448 241332 243712 246064 246432 251264 258944 259584 261443 261834 266968 270592 275808 278528 279552 281216 287504 293046 295936 297024 298792 302848 305473 306228 309248 315588 319488 321776 328576 329784 331747 339456 341887 344064 346112 349112 357266 360672 365568 367744 369096 372736 376896 388416 390728 396032 400452 405888 408304 417792 420784 421824 425984 431256 433823 439712 443904 448188 452608 454272 458752 463872 467194 480896 482664 487424 492128 492864 502528 517888 519168 522886 523668 533936 535899 541184 551616 557056 559104 562432 567307 575008 586092 591872 594048 597584 605696 610946 612456 618496 631176 634933 638976 643552 657152 659568 663494 678912 683774 688128 692224 698224 700791 714532 721344 731136 735488 738192 745472 753792 776832 781456 784329 792064 800904 811776 816608 835584 841568 843648 851968 862512 867646 879424 887808 896376 905216 908544 916419 927744 934388 961792 965328 974848 984256 985728 995241 1005056 1025661 1035776 1038336 1045772 1047336 1067872 1071798 1082368 1103232 1114112 1118208 1124864 1134614 1150016 1172184 1183744 1188096 1195168 1211392 1221892 1224912 1236992 1262352 1269866 1277952 1287104 1301469 1314304 1319136 1326988 1357824 1367548 1376256 1384448 1396448 1401582 1429064 1442688 1462272 1470976 1476384 1490944 1507584 1553664 1562912 1568658 1584128 1601808 1623552 1633216 1671168 1683136 1687296 1701921 1725024 1735292 1758848 1775616 1792752 1810432 1817088 1832838 1855488 1868776 1904799 1923584 1930656 1949696 1968512 1971456 1990482 2010112 2051322 2071552 2076672 2091544 2094672 2135744 2143596 2164736 2206464 2236416 2249728 2269228 2300032 2322229 2344368 2367488 2376192 2390336 2422784 2443784 2449824 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196351760384 199017168896 211455741952 218457587712 228284399616 241663705088 242552174592 257711685504 260253220864 277202485248 291276783616 294527640576 298525753344 317183612928 323402899456 343615580672 362495557632 369603313664 390379831296 392703520768 422911483904 436915175424 456568799232 483327410176 485104349184 515423371008 554404970496 589055281152 597051506688 634367225856 646805798912 687231161344 724991115264 780759662592 785407041536 845822967808 873830350848 970208698368 1030846742016 1108809940992 1178110562304 1268734451712 1293611597824 1374462322688 1449982230528 1570814083072 1691645935616 1940417396736 2061693484032 2356221124608 2537468903424 2587223195648 2748924645376 3141628166144 3383291871232 3880834793472 4123386968064 4712442249216 5074937806848 5497849290752 6283256332288 7761669586944 8246773936128 9424884498432 10149875613696 10995698581504 16493547872256 18849768996864 21991397163008 32987095744512 43982794326016 65974191489024 131948382978048
- Sum of all divisors σ(n): 465817190487040
- Sum of proper divisors (its aliquot sum) s(n): 333868807508992
- 131948382978048 is an abundant number, because the sum of its proper divisors (333868807508992) is greater than itself. Its abundance is 201920424530944
Bases of 131948382978048
- Binary: 111100000000001101000000111111100000000000000002
- Hexadecimal: 0x7801A07F0000
- Base-36: 1ARS90F2TC
Squares and roots of 131948382978048
- 131948382978048 squared (1319483829780482) is 17410375770521627193249890304
- 131948382978048 cubed (1319483829780483) is 2297270929960515205763660780393956840046592
-
The
square root of 131948382978048 is 11486878.7308845565 -
The
cube root of 131948382978048 is 50909.7960771005
Scales and comparisons
How big is 131948382978048?- 131,948,382,978,048 seconds is equal to 4,195,550 years, 22 weeks, 4 days, 13 hours, 48 seconds.
-
To count from 1 to 131,948,382,978,048 would take you about ten million, four hundred eighty-eight thousand, eight hundred seventy-six 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 131948382978048 cubic inches would be around 4242.5 feet tall.
Recreational maths with 131948382978048
- 131948382978048 backwards is 840879283849131
- The number of decimal digits it has is: 15
- The sum of 131948382978048's digits is 75
- More coming soon!
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"Number 131948382978048 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 131948382978048 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/131948382978048/
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The information we have on file for 131948382978048 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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