45916450676449920
45,916,450,676,449,920 is an even composite number composed of five prime numbers multiplied together.
45916450676449920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 45916450676449920:
27 × 33 × 5 × 7 × 379600286677
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 379600286677)See below for interesting mathematical facts about the number 45916450676449920 from the Numbermatics database.
Names of 45916450676449920
- Cardinal: 45916450676449920 can be written as Forty-five quadrillion, nine hundred sixteen trillion, four hundred fifty billion, six hundred seventy-six million, four hundred forty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.591645067644992 × 1016
Factors of 45916450676449920
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 379600286694
Divisors of 45916450676449920
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 84 90 96 105 108 112 120 126 128 135 140 144 160 168 180 189 192 210 216 224 240 252 270 280 288 315 320 336 360 378 384 420 432 448 480 504 540 560 576 630 640 672 720 756 840 864 896 945 960 1008 1080 1120 1152 1260 1344 1440 1512 1680 1728 1890 1920 2016 2160 2240 2520 2688 2880 3024 3360 3456 3780 4032 4320 4480 5040 5760 6048 6720 7560 8064 8640 10080 12096 13440 15120 17280 20160 24192 30240 40320 60480 120960 379600286677 759200573354 1138800860031 1518401146708 1898001433385 2277601720062 2657202006739 3036802293416 3416402580093 3796002866770 4555203440124 5314404013478 5694004300155 6073604586832 6832805160186 7592005733540 7971606020217 9110406880248 10249207740279 10628808026956 11388008600310 12147209173664 13286010033695 13665610320372 15184011467080 15943212040434 17082012900465 18220813760496 20498415480558 21257616053912 22776017200620 23914818060651 24294418347328 26572020067390 27331220640744 30368022934160 31886424080868 34164025800930 36441627520992 39858030101085 40996830961116 42515232107824 45552034401240 47829636121302 48588836694656 51246038701395 53144040134780 54662441281488 60736045868320 63772848161736 68328051601860 71744454181953 72883255041984 79716060202170 81993661922232 85030464215648 91104068802480 95659272242604 102492077402790 106288080269560 109324882562976 119574090303255 121472091736640 127545696323472 136656103203720 143488908363906 145766510083968 159432120404340 163987323844464 170060928431296 182208137604960 191318544485208 204984154805580 212576160539120 218649765125952 239148180606510 242944183473280 255091392646944 273312206407440 286977816727812 318864240808680 327974647688928 340121856862592 358722270909765 364416275209920 382637088970416 409968309611160 425152321078240 437299530251904 478296361213020 510182785293888 546624412814880 573955633455624 637728481617360 655949295377856 717444541819530 728832550419840 765274177940832 819936619222320 850304642156480 956592722426040 1020365570587776 1093248825629760 1147911266911248 1275456963234720 1311898590755712 1434889083639060 1530548355881664 1639873238444640 1700609284312960 1913185444852080 2186497651259520 2295822533822496 2550913926469440 2869778167278120 3061096711763328 3279746476889280 3826370889704160 4591645067644992 5101827852938880 5739556334556240 6559492953778560 7652741779408320 9183290135289984 11479112669112480 15305483558816640 22958225338224960 45916450676449920
- Sum of all divisors σ(n): 185852300357548800
- Sum of proper divisors (its aliquot sum) s(n): 139935849681098880
- 45916450676449920 is an abundant number, because the sum of its proper divisors (139935849681098880) is greater than itself. Its abundance is 94019399004648960
Bases of 45916450676449920
- Binary: 101000110010000011000100110000111110101010100010100000002
- Hexadecimal: 0xA320C4C3EAA280
- Base-36: CK40U8L4TC0
Squares and roots of 45916450676449920
- 45916450676449920 squared (459164506764499202) is 2108320442722858315952494268006400
- 45916450676449920 cubed (459164506764499203) is 96806591618435182535758995429601936673387839488000
-
The
square root of 45916450676449920 is 214281242.0079039957 -
The
cube root of 45916450676449920 is 358087.7272094161
Scales and comparisons
How big is 45916450676449920?- 45,916,450,676,449,920 seconds is equal to 1,460,001,102 years, 31 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 45,916,450,676,449,920 would take you about four billion, three hundred eighty million, three thousand, three hundred 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 45916450676449920 cubic inches would be around 29840.6 feet tall.
Recreational maths with 45916450676449920
- 45916450676449920 backwards is 02994467605461954
- The number of decimal digits it has is: 17
- The sum of 45916450676449920's digits is 81
- More coming soon!
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