138848645928720
138,848,645,928,720 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138848645928720 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1440 divisors.
138848645928720 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138848645928720:
24 × 3 × 5 × 72 × 132 × 53 × 281 × 4691
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 13 × 13 × 53 × 281 × 4691)See below for interesting mathematical facts about the number 138848645928720 from the Numbermatics database.
Names of 138848645928720
- Cardinal: 138848645928720 can be written as One hundred thirty-eight trillion, eight hundred forty-eight billion, six hundred forty-five million, nine hundred twenty-eight thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3884864592872 × 1014
Factors of 138848645928720
Divisors of 138848645928720
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 49 52 53 56 60 65 70 78 80 84 91 98 104 105 106 112 120 130 140 147 156 159 168 169 182 195 196 208 210 212 240 245 260 265 273 280 281 294 312 318 336 338 364 371 390 392 420 424 455 490 507 520 530 546 560 562 588 624 636 637 676 689 728 735 742 780 784 795 840 843 845 848 910 980 1014 1040 1060 1092 1113 1124 1176 1183 1272 1274 1352 1365 1378 1405 1456 1470 1484 1560 1590 1680 1686 1690 1820 1855 1911 1960 1967 2028 2067 2120 2184 2226 2248 2352 2366 2535 2544 2548 2597 2704 2730 2756 2810 2940 2968 3120 3180 3185 3372 3380 3445 3549 3640 3653 3710 3822 3920 3934 4056 4134 4215 4240 4368 4452 4496 4691 4732 4823 5070 5096 5194 5460 5512 5565 5620 5880 5901 5915 5936 6360 6370 6744 6760 6890 7098 7280 7306 7420 7644 7791 7868 8112 8268 8281 8430 8904 8957 9382 9464 9555 9646 9835 10140 10192 10335 10388 10920 10959 11024 11130 11240 11760 11802 11830 12720 12740 12985 13488 13520 13769 13780 14073 14196 14469 14612 14840 14893 15288 15582 15736 16536 16562 16860 17745 17808 17914 18265 18764 18928 19110 19292 19670 20280 20670 20776 21840 21918 22260 22480 23455 23604 23660 24115 24843 25480 25571 25970 26871 27538 27560 28146 28392 28938 29224 29505 29680 29786 30576 31164 31472 32837 33072 33124 33720 33761 35490 35828 36530 37528 38220 38584 38955 39340 40560 41307 41340 41405 41552 43836 44520 44679 44785 46910 47208 47320 47489 48230 49686 50960 51142 51940 53742 54795 55076 55120 56292 56784 57876 58448 59010 59572 60983 62328 62699 65674 66248 67440 67522 68845 70365 70980 71656 72345 73060 74465 75056 76440 76713 77168 77910 78680 82614 82680 82810 87672 89040 89358 89570 93820 94416 94640 94978 96460 98511 99372 101283 102284 103880 104251 107484 109590 110152 112584 115752 118020 119144 121966 124215 124656 125398 127855 131348 132496 134355 135044 137690 140730 141960 142467 143312 144690 146120 148930 152880 153426 155820 157360 164185 165228 165360 165620 168805 175344 178716 178997 179140 182949 187640 188097 189956 192920 193609 197022 198744 202566 204568 206535 207760 208502 214968 219180 220304 223395 225168 229859 231504 236040 237445 238288 243932 248430 248623 250796 255710 262696 268710 270088 275380 281460 283920 284934 289380 292240 297860 304915 306852 311640 312753 313495 328370 330456 331240 332423 337610 357432 357994 358280 365898 375280 376194 379912 383565 385840 387218 394044 397488 405132 409136 413070 417004 426881 429936 438360 438893 446790 459718 472080 474890 487864 492555 496860 497246 501592 506415 511420 521255 525392 536991 537420 540176 550760 562920 569868 578760 580827 595720 609830 613704 623280 625506 626990 656740 660912 662480 664846 675220 689577 712335 714864 715988 716560 729757 731796 745869 752388 759824 767130 774436 788088 792779 810264 826140 834008 853762 876720 877786 893580 894985 914745 919436 940485 949780 968045 975728 985110 993720 994492 997269 1003184 1012830 1022840 1042510 1073982 1074840 1101520 1125840 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133508313393 136931603480 141682291764 152580929592 163736610765 164317924176 164707765040 165296007058 174652384816 177102864705 178011084524 187127555160 188909722352 190726161990 201521982480 205397405220 217972756560 218315481020 222513855655 236137152940 247061647560 247944010587 254301549320 261978577224 267016626786 273863206960 283364583528 305161859184 327473221530 330592014116 354205729410 356022169048 374255110320 381452323980 410794810440 413240017645 436630962040 445027711310 472274305880 494123295120 495888021174 508603098640 523957154448 534033253572 566729167056 578536024703 654946443060 661184028232 667541566965 708411458820 712044338096 762904647960 821589620880 826480035290 873261924080 890055422620 944548611760 991776042348 1068066507144 1157072049406 1239720052935 1309892886120 1322368056464 1335083133930 1416822917640 1525809295920 1652960070580 1735608074109 1780110845240 1983552084696 2136133014288 2314144098812 2479440105870 2619785772240 2670166267860 2833645835280 2892680123515 3305920141160 3471216148218 3560221690480 3967104169392 4628288197624 4958880211740 5340332535720 5785360247030 6611840282320 6942432296436 8678040370545 9256576395248 9917760423480 10680665071440 11570720494060 13884864592872 17356080741090 19835520846960 23141440988120 27769729185744 34712161482180 46282881976240 69424322964360 138848645928720
- Sum of all divisors σ(n): 554497704411264
- Sum of proper divisors (its aliquot sum) s(n): 415649058482544
- 138848645928720 is an abundant number, because the sum of its proper divisors (415649058482544) is greater than itself. Its abundance is 276800412553824
Bases of 138848645928720
- Binary: 111111001001000001110000011011111010111000100002
- Hexadecimal: 0x7E483837D710
- Base-36: 1D7U6QTIXC
Squares and roots of 138848645928720
- 138848645928720 squared (1388486459287202) is 19278946476239053031320838400
- 138848645928720 cubed (1388486459287203) is 2676855613158060380894774303352257038848000
-
The
square root of 138848645928720 is 11783405.5318791435 -
The
cube root of 138848645928720 is 51782.2061800413
Scales and comparisons
How big is 138848645928720?- 138,848,645,928,720 seconds is equal to 4,414,957 years, 23 weeks, 4 days, 1 hour, 32 minutes.
-
To count from 1 to 138,848,645,928,720 would take you about eleven million, thirty-seven thousand, three 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 138848645928720 cubic inches would be around 4315.2 feet tall.
Recreational maths with 138848645928720
- 138848645928720 backwards is 027829546848831
- The number of decimal digits it has is: 15
- The sum of 138848645928720's digits is 75
- More coming soon!
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"Number 138848645928720 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138848645928720 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138848645928720/
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The information we have on file for 138848645928720 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 138848645928720, math, Factors of 138848645928720, curriculum, school, college, exams, university, Prime factorization of 138848645928720, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, eight hundred forty-eight billion, six hundred forty-five million, nine hundred twenty-eight thousand, seven hundred twenty.