966137506992
966,137,506,992 is an even composite number composed of seven prime numbers multiplied together.
What does the number 966137506992 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
966137506992 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 966137506992:
24 × 32 × 7 × 29 × 31 × 331 × 3221
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 29 × 31 × 331 × 3221)See below for interesting mathematical facts about the number 966137506992 from the Numbermatics database.
Names of 966137506992
- Cardinal: 966137506992 can be written as Nine hundred sixty-six billion, one hundred thirty-seven million, five hundred six thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 9.66137506992 × 1011
Factors of 966137506992
Divisors of 966137506992
- 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 28 29 31 36 42 48 56 58 62 63 72 84 87 93 112 116 124 126 144 168 174 186 203 217 232 248 252 261 279 331 336 348 372 406 434 464 496 504 522 558 609 651 662 696 744 812 868 899 993 1008 1044 1116 1218 1302 1324 1392 1488 1624 1736 1798 1827 1953 1986 2088 2232 2317 2436 2604 2648 2697 2979 3221 3248 3472 3596 3654 3906 3972 4176 4464 4634 4872 5208 5296 5394 5958 6293 6442 6951 7192 7308 7812 7944 8091 9268 9599 9663 9744 10261 10416 10788 11916 12586 12884 13902 14384 14616 15624 15888 16182 18536 18879 19198 19326 20522 20853 21576 22547 23832 25172 25768 27804 28797 28989 29232 30783 31248 32364 37072 37758 38396 38652 41044 41706 43152 45094 47664 50344 51536 55608 56637 57594 57978 61566 64728 67193 67641 71827 75516 76792 77304 82088 83412 86391 90188 92349 93409 99851 100688 111216 113274 115188 115956 123132 129456 134386 135282 143654 151032 153584 154608 164176 166824 172782 180376 184698 186818 199702 201579 202923 215481 226548 230376 231912 246264 268772 270564 280227 287308 297569 299553 302064 333648 345564 360752 369396 373636 399404 403158 405846 430962 453096 460752 463824 492528 537544 541128 560454 574616 595138 599106 604737 646443 653863 691128 698957 738792 747272 798808 806316 811692 840681 861924 892707 898659 906192 1066151 1075088 1082256 1120908 1149232 1190276 1198212 1209474 1292886 1307726 1382256 1397914 1477584 1494544 1597616 1612632 1623384 1681362 1723848 1785414 1797318 1961589 2082983 2096871 2132302 2241816 2380552 2396424 2418948 2585772 2615452 2678121 2795828 2895679 3198453 3225264 3246768 3362724 3447696 3570828 3594636 3923178 4165966 4193742 4264604 4483632 4761104 4792848 4837896 5171544 5230904 5356242 5591656 5791358 5884767 6248949 6290613 6396906 6725448 7141656 7189272 7463057 7846356 8331932 8387484 8529208 8687037 9595359 9675792 10343088 10461808 10712484 11183312 11582716 11769534 12497898 12581226 12793812 13450896 14283312 14378544 14926114 15692712 16663864 16774968 17058416 17374074 18746847 19190718 20269753 21424968 22389171 23165432 23539068 24995796 25162452 25587624 26061111 29852228 30918379 31385424 33050681 33327728 33549936 34748148 37493694 38381436 40539506 42849936 44778342 46330864 47078136 49991592 50324904 51175248 52122222 59704456 60809259 61836758 66101362 67167513 69496296 74987388 76762872 81079012 89556684 92755137 94156272 99152043 99983184 100649808 104244444 119408912 121618518 123673516 132202724 134335026 138992592 149974776 153525744 162158024 179113368 182427777 185510274 198304086 208488888 216428653 231354767 243237036 247347032 264405448 268670052 278265411 297456129 299949552 324316048 358226736 364855554 371020548 396608172 416977776 432857306 462709534 486474072 494694064 528810896 537340104 556530822 594912258 649285959 694064301 729711108 742041096 793216344 865714612 925419068 958469749 972948144 1074680208 1113061644 1189824516 1298571918 1388128602 1459422216 1484082192 1586432688 1731429224 1850838136 1916939498 1947857877 2082192903 2226123288 2379649032 2597143836 2776257204 2875409247 2918844432 3462858448 3701676272 3833878996 3895715754 4164385806 4452246576 4759298064 5194287672 5552514408 5750818494 6709288243 7667757992 7791431508 8328771612 8626227741 10388575344 11105028816 11501636988 13418576486 15335515984 15582863016 16657543224 17252455482 20127864729 23003273976 26837152972 31165726032 33315086448 34504910964 40255729458 46006547952 53674305944 60383594187 69009821928 80511458916 107348611888 120767188374 138019643856 161022917832 241534376748 322045835664 483068753496 966137506992
- Sum of all divisors σ(n): 3310776668160
- Sum of proper divisors (its aliquot sum) s(n): 2344639161168
- 966137506992 is an abundant number, because the sum of its proper divisors (2344639161168) is greater than itself. Its abundance is 1378501654176
Bases of 966137506992
- Binary: 11100000111100100100100001101100101100002
- Hexadecimal: 0xE0F2486CB0
- Base-36: CBU5BRG0
Squares and roots of 966137506992
- 966137506992 squared (9661375069922) is 933421682416716848888064
- 966137506992 cubed (9661375069923) is 901813697222365178050276140225343488
-
The
square root of 966137506992 is 982922.9405156845 -
The
cube root of 966137506992 is 9885.8264238295
Scales and comparisons
How big is 966137506992?- 966,137,506,992 seconds is equal to 30,720 years, 9 weeks, 4 days, 1 hour, 43 minutes, 12 seconds.
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To count from 1 to 966,137,506,992 would take you about sixty-one thousand, four hundred forty 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 966137506992 cubic inches would be around 823.8 feet tall.
Recreational maths with 966137506992
- 966137506992 backwards is 299605731669
- 966137506992 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 966137506992's digits is 63
- More coming soon!
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