4045101231772800
4,045,101,231,772,800 is an even composite number composed of five prime numbers multiplied together.
4045101231772800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 4045101231772800:
27 × 32 × 52 × 31 × 4530803351
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 4530803351)See below for interesting mathematical facts about the number 4045101231772800 from the Numbermatics database.
Names of 4045101231772800
- Cardinal: 4045101231772800 can be written as Four quadrillion, forty-five trillion, one hundred one billion, two hundred thirty-one million, seven hundred seventy-two thousand, eight hundred.
Scientific notation
- Scientific notation: 4.0451012317728 × 1015
Factors of 4045101231772800
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 4530803392
Divisors of 4045101231772800
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 64 72 75 80 90 93 96 100 120 124 128 144 150 155 160 180 186 192 200 225 240 248 279 288 300 310 320 360 372 384 400 450 465 480 496 558 576 600 620 640 720 744 775 800 900 930 960 992 1116 1152 1200 1240 1395 1440 1488 1550 1600 1800 1860 1920 1984 2232 2325 2400 2480 2790 2880 2976 3100 3200 3600 3720 3968 4464 4650 4800 4960 5580 5760 5952 6200 6975 7200 7440 8928 9300 9600 9920 11160 11904 12400 13950 14400 14880 17856 18600 19840 22320 24800 27900 28800 29760 35712 37200 44640 49600 55800 59520 74400 89280 99200 111600 148800 178560 223200 297600 446400 892800 4530803351 9061606702 13592410053 18123213404 22654016755 27184820106 36246426808 40777230159 45308033510 54369640212 67962050265 72492853616 81554460318 90616067020 108739280424 113270083775 135924100530 140454903881 144985707232 163108920636 181232134040 203886150795 217478560848 226540167550 271848201060 280909807762 289971414464 326217841272 339810251325 362464268080 407772301590 421364711643 434957121696 453080335100 543696402120 561819615524 579942828928 652435682544 679620502650 702274519405 724928536160 815544603180 842729423286 869914243392 906160670200 1019430753975 1087392804240 1123639231048 1264094134929 1304871365088 1359241005300 1404549038810 1449857072320 1631089206360 1685458846572 1739828486784 1812321340400 2038861507950 2106823558215 2174785608480 2247278462096 2528188269858 2609742730176 2718482010600 2809098077620 2899714144640 3262178412720 3370917693144 3511372597025 3624642680800 4077723015900 4213647116430 4349571216960 4494556924192 5056376539716 5219485460352 5436964021200 5618196155240 6320470674645 6524356825440 6741835386288 7022745194050 7249285361600 8155446031800 8427294232860 8699142433920 8989113848384 10112753079432 10534117791075 10873928042400 11236392310480 12640941349290 13048713650880 13483670772576 14045490388100 14498570723200 16310892063600 16854588465720 17978227696768 20225506158864 21068235582150 21747856084800 22472784620960 25281882698580 26097427301760 26967341545152 28090980776200 31602353373225 32621784127200 33709176931440 40451012317728 42136471164300 43495712169600 44945569241920 50563765397160 53934683090304 56181961552400 63204706746450 65243568254400 67418353862880 80902024635456 84272942328600 89891138483840 101127530794320 112363923104800 126409413492900 130487136508800 134836707725760 161804049270912 168545884657200 202255061588640 224727846209600 252818826985800 269673415451520 337091769314400 404510123177280 449455692419200 505637653971600 674183538628800 809020246354560 1011275307943200 1348367077257600 2022550615886400 4045101231772800
- Sum of all divisors σ(n): 14899456206984960
- Sum of proper divisors (its aliquot sum) s(n): 10854354975212160
- 4045101231772800 is an abundant number, because the sum of its proper divisors (10854354975212160) is greater than itself. Its abundance is 6809253743439360
Bases of 4045101231772800
- Binary: 11100101111011111111100001100000000000010100100000002
- Hexadecimal: 0xE5EFF86001480
- Base-36: 13TV9UNZ8G0
Squares and roots of 4045101231772800
- 4045101231772800 squared (40451012317728002) is 16362843975289823824230819840000
- 4045101231772800 cubed (40451012317728003) is 66189360319751005757273192814288800612352000000
-
The
square root of 4045101231772800 is 63601110.3029876359 -
The
cube root of 4045101231772800 is 159334.4913237589
Scales and comparisons
How big is 4045101231772800?- 4,045,101,231,772,800 seconds is equal to 128,621,706 years, 44 weeks, 1 day, 16 hours.
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To count from 1 to 4,045,101,231,772,800 would take you about three hundred eighty-five million, eight hundred sixty-five thousand, one hundred twenty 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 4045101231772800 cubic inches would be around 13277.9 feet tall.
Recreational maths with 4045101231772800
- 4045101231772800 backwards is 0082771321015404
- 4045101231772800 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 4045101231772800's digits is 45
- More coming soon!
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