40157656968
40,157,656,968 is an even composite number composed of seven prime numbers multiplied together.
40157656968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 40157656968:
23 × 3 × 11 × 132 × 29 × 41 × 757
(2 × 2 × 2 × 3 × 11 × 13 × 13 × 29 × 41 × 757)See below for interesting mathematical facts about the number 40157656968 from the Numbermatics database.
Names of 40157656968
- Cardinal: 40157656968 can be written as Forty billion, one hundred fifty-seven million, six hundred fifty-six thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.0157656968 × 1010
Factors of 40157656968
Divisors of 40157656968
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 22 24 26 29 33 39 41 44 52 58 66 78 82 87 88 104 116 123 132 143 156 164 169 174 232 246 264 286 312 319 328 338 348 377 429 451 492 507 533 572 638 676 696 754 757 858 902 957 984 1014 1066 1131 1144 1189 1276 1352 1353 1508 1514 1599 1716 1804 1859 1914 2028 2132 2262 2271 2378 2552 2706 3016 3028 3198 3432 3567 3608 3718 3828 4056 4147 4264 4524 4542 4756 4901 5412 5577 5863 6056 6396 6929 7134 7436 7656 8294 8327 9048 9084 9512 9802 9841 10824 11154 11726 12441 12792 13079 13858 14268 14703 14872 15457 16588 16654 17589 18168 19604 19682 20787 21953 22308 23452 24882 24981 26158 27716 28536 29406 29523 30914 31037 33176 33308 35178 39208 39237 39364 41574 43906 44616 46371 46904 49764 49962 52316 53911 55432 58812 59046 61828 62074 65859 66616 70356 76219 78474 78728 83148 87812 92742 93111 99528 99924 104632 107822 108251 117624 118092 123656 124148 127933 131718 140712 152438 156948 161733 166296 170027 175624 185484 186222 199848 200941 215644 216502 228657 236184 241483 248296 255866 263436 285389 304876 313896 323466 324753 340054 341407 370968 372444 383799 401882 403481 431288 433004 457314 482966 510081 511732 526872 570778 602823 609752 646932 649506 680108 682814 724449 744888 767598 803764 806962 856167 866008 900073 914628 965932 1020162 1023464 1024221 1141556 1205646 1210443 1293864 1299012 1360216 1365628 1407263 1448898 1535196 1607528 1613924 1712334 1800146 1829256 1931864 2040324 2048442 2210351 2283112 2411292 2420886 2598024 2700219 2731256 2814526 2897796 3070392 3139279 3227848 3424668 3600292 3710057 4080648 4096884 4221789 4420702 4438291 4822584 4841772 5245253 5400438 5629052 5795592 6278558 6631053 6849336 7200584 7420114 8193768 8443578 8841404 8876582 9417837 9683544 9900803 10490506 10800876 11130171 11258104 11700949 12557116 13262106 13314873 14840228 15735759 16887156 17682808 17753164 18835674 19801606 20981012 21601752 22260342 23401898 25114232 26524212 26629746 29680456 29702409 31471518 33774312 35102847 35506328 37671348 39603212 40810627 41962024 44520684 46803796 53048424 53259492 57697783 59404818 62943036 70205694 75342696 79206424 81621254 89041368 93607592 106518984 115395566 118809636 122431881 125886072 128710439 140411388 152112337 163242508 173093349 230791132 237619272 244863762 257420878 280822776 304224674 326485016 346186698 386131317 456337011 461582264 489727524 514841756 608449348 692373396 772262634 912674022 979455048 1029683512 1216898696 1384746792 1544525268 1673235707 1825348044 3089050536 3346471414 3650696088 5019707121 6692942828 10039414242 13385885656 20078828484 40157656968
- Sum of all divisors σ(n): 125841340800
- Sum of proper divisors (its aliquot sum) s(n): 85683683832
- 40157656968 is an abundant number, because the sum of its proper divisors (85683683832) is greater than itself. Its abundance is 45526026864
Bases of 40157656968
- Binary: 1001010110011001010100110111100010002
- Hexadecimal: 0x959953788
- Base-36: IG4TYFC
Squares and roots of 40157656968
- 40157656968 squared (401576569682) is 1612637413159558953024
- 40157656968 cubed (401576569683) is 64759740051424457485711018271232
-
The
square root of 40157656968 is 200393.7548128685 -
The
cube root of 40157656968 is 3424.4391634803
Scales and comparisons
How big is 40157656968?- 40,157,656,968 seconds is equal to 1,276 years, 46 weeks, 1 day, 16 hours, 42 minutes, 48 seconds.
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To count from 1 to 40,157,656,968 would take you about two thousand, five hundred fifty-three 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 40157656968 cubic inches would be around 285.4 feet tall.
Recreational maths with 40157656968
- 40157656968 backwards is 86965675104
- The number of decimal digits it has is: 11
- The sum of 40157656968's digits is 57
- More coming soon!
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