148437429085274112
148,437,429,085,274,112 is an even composite number composed of five prime numbers multiplied together.
What does the number 148437429085274112 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2016 divisors.
148437429085274112 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 148437429085274112:
227 × 33 × 7 × 412 × 592
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 41 × 41 × 59 × 59)See below for interesting mathematical facts about the number 148437429085274112 from the Numbermatics database.
Names of 148437429085274112
- Cardinal: 148437429085274112 can be written as One hundred forty-eight quadrillion, four hundred thirty-seven trillion, four hundred twenty-nine billion, eighty-five million, two hundred seventy-four thousand, one hundred twelve.
Scientific notation
- Scientific notation: 1.48437429085274112 × 1017
Factors of 148437429085274112
Divisors of 148437429085274112
- Number of divisors d(n): 2016
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 41 42 48 54 56 59 63 64 72 82 84 96 108 112 118 123 126 128 144 164 168 177 189 192 216 224 236 246 252 256 287 288 328 336 354 369 378 384 413 432 448 472 492 504 512 531 574 576 656 672 708 738 756 768 826 861 864 896 944 984 1008 1024 1062 1107 1148 1152 1239 1312 1344 1416 1476 1512 1536 1593 1652 1681 1722 1728 1792 1888 1968 2016 2048 2124 2214 2296 2304 2419 2478 2583 2624 2688 2832 2952 3024 3072 3186 3304 3362 3444 3456 3481 3584 3717 3776 3936 4032 4096 4248 4428 4592 4608 4838 4956 5043 5166 5248 5376 5664 5904 6048 6144 6372 6608 6724 6888 6912 6962 7168 7257 7434 7552 7749 7872 8064 8192 8496 8856 9184 9216 9676 9912 10086 10332 10443 10496 10752 11151 11328 11767 11808 12096 12288 12744 13216 13448 13776 13824 13924 14336 14514 14868 15104 15129 15498 15744 16128 16384 16933 16992 17712 18368 18432 19352 19824 20172 20664 20886 20992 21504 21771 22302 22656 23534 23616 24192 24367 24576 25488 26432 26896 27552 27648 27848 28672 29028 29736 30208 30258 30996 31329 31488 32256 32768 33866 33984 35301 35424 36736 36864 38704 39648 40344 41328 41772 41984 43008 43542 44604 45312 45387 47068 47232 48384 48734 49152 50799 50976 52864 53792 55104 55296 55696 57344 58056 59472 60416 60516 61992 62658 62976 64512 65313 65536 67732 67968 70602 70848 73101 73472 73728 77408 79296 80688 82656 83544 83968 86016 87084 89208 90624 90774 93987 94136 94464 96768 97468 98304 99179 101598 101952 105728 105903 107584 110208 110592 111392 114688 116112 118944 120832 121032 123984 125316 125952 129024 130626 131072 135464 135936 141204 141696 142721 146202 146944 147456 152397 154816 158592 161376 165312 167088 167936 172032 174168 178416 181248 181548 187974 188272 188928 193536 194936 196608 198358 203196 203904 211456 211806 215168 219303 220416 221184 222784 229376 232224 237888 241664 242064 247968 250632 251904 258048 261252 262144 270928 271872 282408 283392 285442 292404 293888 294912 297537 304794 309632 317184 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2515888628563968 2650668376522752 2748841279356928 3092446439276544 3534224502030336 3620425099640832 4123261919035392 4638669658914816 5301336753045504 5497682558713856 6184892878553088 7068449004060672 8246523838070784 9277339317829632 10602673506091008 12369785757106176 16493047676141568 18554678635659264 21205347012182016 24739571514212352 37109357271318528 49479143028424704 74218714542637056 148437429085274112
- Sum of all divisors σ(n): 524084191112020800
- Sum of proper divisors (its aliquot sum) s(n): 375646762026746688
- 148437429085274112 is an abundant number, because the sum of its proper divisors (375646762026746688) is greater than itself. Its abundance is 227209332941472576
Bases of 148437429085274112
- Binary: 10000011110101101100001110001010000000000000000000000000002
- Hexadecimal: 0x20F5B0E28000000
- Base-36: 14LKODJ4IYO0
Squares and roots of 148437429085274112
- 148437429085274112 squared (1484374290852741122) is 22033670353445780898347770177388544
- 148437429085274112 cubed (1484374290852741123) is 3270621380577914680938868459267597774470266568572928
-
The
square root of 148437429085274112 is 385275783.1544491353 -
The
cube root of 148437429085274112 is 529477.8637140185
Scales and comparisons
How big is 148437429085274112?- 148,437,429,085,274,112 seconds is equal to 4,719,851,097 years, 41 weeks, 3 days, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 148,437,429,085,274,112 would take you about fourteen billion, one hundred fifty-nine million, five hundred fifty-three thousand, two hundred ninety-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 148437429085274112 cubic inches would be around 44123.2 feet tall.
Recreational maths with 148437429085274112
- 148437429085274112 backwards is 211472580924734841
- 148437429085274112 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 148437429085274112's digits is 72
- More coming soon!
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"Number 148437429085274112 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 148437429085274112 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/148437429085274112/
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The information we have on file for 148437429085274112 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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