996145128
996,145,128 is an even composite number composed of six prime numbers multiplied together.
996145128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 996145128:
23 × 34 × 11 × 29 × 61 × 79
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 29 × 61 × 79)See below for interesting mathematical facts about the number 996145128 from the Numbermatics database.
Names of 996145128
- Cardinal: 996145128 can be written as Nine hundred ninety-six million, one hundred forty-five thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 9.96145128 × 108
Factors of 996145128
Divisors of 996145128
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 18 22 24 27 29 33 36 44 54 58 61 66 72 79 81 87 88 99 108 116 122 132 158 162 174 183 198 216 232 237 244 261 264 297 316 319 324 348 366 396 474 488 522 549 594 632 638 648 671 696 711 732 783 792 869 891 948 957 1044 1098 1188 1276 1342 1422 1464 1566 1647 1738 1769 1782 1896 1914 2013 2088 2133 2196 2291 2349 2376 2552 2607 2684 2844 2871 3132 3294 3476 3538 3564 3828 4026 4266 4392 4582 4698 4819 4941 5214 5307 5368 5688 5742 6039 6264 6399 6588 6873 6952 7076 7128 7656 7821 8052 8532 8613 9164 9396 9638 9882 10428 10614 11484 12078 12798 13176 13746 14152 14457 15642 15921 16104 17064 17226 18117 18328 18792 19276 19459 19764 20619 20856 21228 22968 23463 24156 25201 25596 25839 27492 28914 31284 31842 34452 36234 38552 38918 39528 41238 42456 43371 46926 47763 48312 50402 51192 51678 53009 54351 54984 57828 58377 61857 62568 63684 68904 70389 72468 75603 77836 82476 86742 93852 95526 100804 103356 106018 108702 115656 116754 123714 127368 130113 139751 140778 143289 144936 151206 155672 159027 164952 173484 175131 185571 187704 191052 201608 206712 212036 217404 226809 233508 247428 260226 279502 281556 286578 302412 318054 346968 350262 371142 382104 390339 419253 424072 434808 453618 467016 477081 494856 520452 525393 559004 563112 573156 604824 636108 680427 700524 742284 780678 838506 907236 954162 1040904 1050786 1118008 1146312 1257759 1272216 1360854 1401048 1431243 1484568 1537261 1561356 1576179 1677012 1814472 1908324 2041281 2101572 2515518 2721708 2862486 3074522 3122712 3152358 3354024 3773277 3816648 4082562 4203144 4293729 4611783 5031036 5443416 5724972 6149044 6304716 7546554 8165124 8587458 9223566 10062072 11319831 11449944 12298088 12609432 13835349 15093108 16330248 17174916 18447132 22639662 27670698 30186216 34349832 36894264 41506047 45279324 55341396 83012094 90558648 110682792 124518141 166024188 249036282 332048376 498072564 996145128
- Sum of all divisors σ(n): 3240864000
- Sum of proper divisors (its aliquot sum) s(n): 2244718872
- 996145128 is an abundant number, because the sum of its proper divisors (2244718872) is greater than itself. Its abundance is 1248573744
Bases of 996145128
- Binary: 1110110101111111110111111010002
- Hexadecimal: 0x3B5FF7E8
- Base-36: GH2UI0
Squares and roots of 996145128
- 996145128 squared (9961451282) is 992305116038136384
- 996145128 cubed (9961451283) is 988479906830864221121137152
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The
square root of 996145128 is 31561.7668706935 -
The
cube root of 996145128 is 998.7133880061
Scales and comparisons
How big is 996145128?- 996,145,128 seconds is equal to 31 years, 35 weeks, 10 hours, 58 minutes, 48 seconds.
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To count from 1 to 996,145,128 would take you about forty-seven 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 996145128 cubic inches would be around 83.2 feet tall.
Recreational maths with 996145128
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