106407501984
106,407,501,984 is an even composite number composed of six prime numbers multiplied together.
106407501984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 106407501984:
25 × 34 × 7 × 31 × 37 × 5113
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 31 × 37 × 5113)See below for interesting mathematical facts about the number 106407501984 from the Numbermatics database.
Names of 106407501984
- Cardinal: 106407501984 can be written as One hundred six billion, four hundred seven million, five hundred one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.06407501984 × 1011
Factors of 106407501984
Divisors of 106407501984
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 37 42 48 54 56 62 63 72 74 81 84 93 96 108 111 112 124 126 144 148 162 168 186 189 216 217 222 224 248 252 259 279 288 296 324 333 336 372 378 432 434 444 496 504 518 558 567 592 648 651 666 672 744 756 777 837 864 868 888 992 999 1008 1036 1116 1134 1147 1184 1296 1302 1332 1488 1512 1554 1674 1736 1776 1953 1998 2016 2072 2232 2268 2294 2331 2511 2592 2604 2664 2976 2997 3024 3108 3348 3441 3472 3552 3906 3996 4144 4464 4536 4588 4662 5022 5113 5208 5328 5859 5994 6048 6216 6696 6882 6944 6993 7812 7992 8029 8288 8928 9072 9176 9324 10044 10226 10323 10416 10656 11718 11988 12432 13392 13764 13986 15339 15624 15984 16058 17577 18144 18352 18648 20088 20452 20646 20832 20979 23436 23976 24087 24864 26784 27528 27972 30678 30969 31248 31968 32116 35154 35791 36704 37296 40176 40904 41292 41958 46017 46872 47952 48174 55056 55944 61356 61938 62496 64232 70308 71582 72261 74592 80352 81808 82584 83916 92034 92907 93744 95904 96348 107373 110112 111888 122712 123876 128464 138051 140616 143164 144522 158503 163616 165168 167832 184068 185814 187488 189181 192696 214746 216783 223776 245424 247752 256928 276102 281232 286328 289044 317006 322119 330336 335664 368136 371628 378362 385392 414153 429492 433566 475509 490848 495504 552204 562464 567543 572656 578088 634012 644238 650349 671328 736272 743256 756724 770784 828306 858984 867132 951018 966357 991008 1104408 1109521 1135086 1145312 1156176 1268024 1288476 1300698 1324267 1426527 1472544 1486512 1513448 1656612 1702629 1717968 1734264 1902036 1932714 2208816 2219042 2270172 2312352 2536048 2576952 2601396 2648534 2853054 2899071 2973024 3026896 3313224 3328563 3405258 3435936 3468528 3804072 3865428 3972801 4279581 4417632 4438084 4540344 5072096 5107887 5153904 5202792 5297068 5706108 5798142 5864611 6053792 6626448 6657126 6810516 6937056 7608144 7730856 7945602 8559162 8876168 9080688 9985689 10215774 10307808 10405584 10594136 11412216 11596284 11729222 11918403 12838743 13252896 13314252 13621032 15216288 15323661 15461712 15891204 17118324 17593833 17752336 18161376 19971378 20431548 20811168 21188272 22824432 23192568 23458444 23836806 25677486 26628504 27242064 29957067 30647322 30923424 31782408 34236648 35187666 35504672 35755209 39942756 40863096 41052277 42376544 45648864 46385136 46916888 47673612 51354972 52781499 53257008 54484128 59914134 61294644 63564816 68473296 70375332 71510418 79885512 81726192 82104554 89871201 92770272 93833776 95347224 102709944 105562998 106514016 107265627 119828268 122589288 123156831 127129632 136946592 140750664 143020836 158344497 159771024 163452384 164209108 179742402 187667552 190694448 205419888 211125996 214531254 239656536 245178576 246313662 281501328 286041672 316688994 319542048 328418216 359484804 369470493 381388896 410839776 422251992 429062508 475033491 479313072 490357152 492627324 563002656 572083344 633377988 656836432 718969608 738940986 844503984 858125016 950066982 958626144 985254648 1108411479 1144166688 1266755976 1313672864 1437939216 1477881972 1689007968 1716250032 1900133964 1970509296 2216822958 2533511952 2875878432 2955763944 3325234437 3432500064 3800267928 3941018592 4433645916 5067023904 5911527888 6650468874 7600535856 8867291832 11823055776 13300937748 15201071712 17734583664 26601875496 35469167328 53203750992 106407501984
- Sum of all divisors σ(n): 379236566016
- Sum of proper divisors (its aliquot sum) s(n): 272829064032
- 106407501984 is an abundant number, because the sum of its proper divisors (272829064032) is greater than itself. Its abundance is 166421562048
Bases of 106407501984
- Binary: 11000110001100110000110100000101000002
- Hexadecimal: 0x18C661A0A0
- Base-36: 1CVSA200
Squares and roots of 106407501984
- 106407501984 squared (1064075019842) is 11322556478474963936256
- 106407501984 cubed (1064075019843) is 1204804950947276778341488769531904
-
The
square root of 106407501984 is 326201.6278070973 -
The
cube root of 106407501984 is 4738.6803697065
Scales and comparisons
How big is 106407501984?- 106,407,501,984 seconds is equal to 3,383 years, 22 weeks, 2 days, 7 hours, 26 minutes, 24 seconds.
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To count from 1 to 106,407,501,984 would take you about six thousand, seven hundred sixty-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 106407501984 cubic inches would be around 394.9 feet tall.
Recreational maths with 106407501984
- 106407501984 backwards is 489105704601
- The number of decimal digits it has is: 12
- The sum of 106407501984's digits is 45
- More coming soon!
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