136942871431856448
136,942,871,431,856,448 is an even composite number composed of six prime numbers multiplied together.
What does the number 136942871431856448 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1680 divisors.
136942871431856448 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 136942871431856448:
26 × 3 × 74 × 412 × 533 × 1187
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 41 × 41 × 53 × 53 × 53 × 1187)See below for interesting mathematical facts about the number 136942871431856448 from the Numbermatics database.
Names of 136942871431856448
- Cardinal: 136942871431856448 can be written as One hundred thirty-six quadrillion, nine hundred forty-two trillion, eight hundred seventy-one billion, four hundred thirty-one million, eight hundred fifty-six thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 1.36942871431856448 × 1017
Factors of 136942871431856448
Divisors of 136942871431856448
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 49 53 56 64 82 84 96 98 106 112 123 147 159 164 168 192 196 212 224 246 287 294 318 328 336 343 371 392 424 448 492 574 588 636 656 672 686 742 784 848 861 984 1029 1113 1148 1176 1187 1272 1312 1344 1372 1484 1568 1681 1696 1722 1968 2009 2058 2173 2226 2296 2352 2374 2401 2544 2597 2624 2744 2809 2968 3136 3362 3392 3444 3561 3936 4018 4116 4346 4452 4592 4704 4748 4802 5043 5088 5194 5488 5618 5936 6027 6519 6724 6888 7122 7203 7791 7872 8036 8232 8309 8427 8692 8904 9184 9408 9496 9604 10086 10176 10388 10976 11236 11767 11872 12054 13038 13448 13776 14063 14244 14406 15211 15582 16072 16464 16618 16854 17384 17808 18179 18368 18992 19208 19663 20172 20776 21952 22472 23534 23744 24108 24927 26076 26896 27552 28126 28488 28812 30422 31164 32144 32928 33236 33708 34768 35301 35616 36358 37984 38416 39326 40344 41552 42189 44944 45633 47068 48216 48667 49854 52152 53792 54537 55104 56252 56976 57624 58163 58989 60844 62328 62911 64288 65856 66472 67416 69536 70602 71232 72716 75968 76832 78652 80688 82369 83104 84378 89093 89888 91266 94136 96432 97334 98441 99708 104304 106477 107584 109074 112504 113952 115169 115248 116326 117978 121688 124656 125822 127253 128576 132944 134832 137641 139072 141204 145432 146001 148877 153664 157304 161376 164738 166208 168756 174489 178186 179776 182532 188272 188733 192864 194668 196882 199416 208608 212954 218148 225008 227904 230338 230496 232652 235956 243376 247107 249312 251644 254506 265888 267279 269664 275282 282408 290864 292002 295323 297754 314608 319431 322752 329476 337512 340669 345507 348978 356372 365064 376544 377466 381759 385728 389336 393764 398832 407141 412923 417216 425908 436296 440377 446631 450016 460676 460992 465304 471912 486752 494214 498624 503288 509012 531776 534558 539328 550564 564816 576583 581728 584004 590646 595508 623651 629216 638862 658952 675024 681338 691014 697956 712744 730128 745339 753088 754932 763518 778672 787528 797664 806183 814282 825846 851816 872592 880754 893262 900032 921352 930608 943824 963487 973504 988428 1006576 1018024 1022007 1042139 1069116 1101128 1129632 1153166 1163456 1168008 1181292 1191016 1221423 1247302 1258432 1277724 1317904 1321131 1350048 1362676 1382028 1395912 1425488 1460256 1490678 1509864 1527036 1557344 1575056 1595328 1612366 1628564 1651692 1703632 1729749 1745184 1761508 1786524 1842704 1861216 1870953 1887648 1926974 1976856 1995347 2013152 2036048 2044014 2084278 2138232 2202256 2236017 2259264 2306332 2336016 2362584 2382032 2384683 2418549 2442846 2494604 2555448 2579351 2635808 2642262 2700096 2725352 2764056 2791824 2849987 2850976 2890461 2920512 2981356 3019728 3054072 3082639 3114688 3126417 3150112 3224732 3257128 3303384 3334283 3407264 3459498 3490368 3523016 3573048 3685408 3722432 3741906 3775296 3853948 3953712 3990694 4026304 4036081 4072096 4088028 4168556 4276464 4365557 4404512 4472034 4612664 4672032 4721929 4725168 4764064 4769366 4837098 4885692 4989208 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174672029887572 184559125918944 199625177014368 203784034868834 208754377182708 215318980238768 232896039850096 238576431065952 278339169576944 305676052303251 322978470358152 349344059775144 369118251837888 399250354028736 407568069737668 417508754365416 430637960477536 465792079700192 477152862131904 556678339153888 611352104606502 645956940716304 698688119550288 713244122040919 815136139475336 835017508730832 861275920955072 931584159400384 1113356678307776 1222704209213004 1291913881432608 1397376239100576 1426488244081838 1630272278950672 1670035017461664 2139732366122757 2445408418426008 2583827762865216 2794752478201152 2852976488163676 3260544557901344 3340070034923328 4279464732245514 4890816836852016 5705952976327352 6521089115802688 8558929464491028 9781633673704032 11411905952654704 17117858928982056 19563267347408064 22823811905309408 34235717857964112 45647623810618816 68471435715928224 136942871431856448
- Sum of all divisors σ(n): 441955577339686080
- Sum of proper divisors (its aliquot sum) s(n): 305012705907829632
- 136942871431856448 is an abundant number, because the sum of its proper divisors (305012705907829632) is greater than itself. Its abundance is 168069834475973184
Bases of 136942871431856448
- Binary: 1111001101000010011010000111001100011011111000001010000002
- Hexadecimal: 0x1E684D0E637C140
- Base-36: 11GE72N6D5XC
Squares and roots of 136942871431856448
- 136942871431856448 squared (1369428714318564482) is 18753350036001964884464407679176704
- 136942871431856448 cubed (1369428714318564483) is 2568137602896817567568219960926434244830358953787392
-
The
square root of 136942871431856448 is 370057929.8324202213 -
The
cube root of 136942871431856448 is 515442.0077262307
Scales and comparisons
How big is 136942871431856448?- 136,942,871,431,856,448 seconds is equal to 4,354,359,719 years, 21 weeks, 5 days, 17 hours, 48 seconds.
-
To count from 1 to 136,942,871,431,856,448 would take you about thirteen billion, sixty-three million, seventy-nine thousand, one hundred fifty-eight 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 136942871431856448 cubic inches would be around 42953.5 feet tall.
Recreational maths with 136942871431856448
- 136942871431856448 backwards is 844658134178249631
- 136942871431856448 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 136942871431856448's digits is 84
- More coming soon!
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Cite this page
MLA style:
"Number 136942871431856448 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 136942871431856448 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/136942871431856448/
Chicago style:
Numbermatics. 2024. "Number 136942871431856448 - Facts about the integer". https://numbermatics.com/n/136942871431856448/
The information we have on file for 136942871431856448 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!
Keywords: Divisors of 136942871431856448, math, Factors of 136942871431856448, curriculum, school, college, exams, university, Prime factorization of 136942871431856448, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-six quadrillion, nine hundred forty-two trillion, eight hundred seventy-one billion, four hundred thirty-one million, eight hundred fifty-six thousand, four hundred forty-eight.