137923036613828608000
137,923,036,613,828,608,000 is an even composite number composed of six prime numbers multiplied together.
137923036613828608000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred forty-eight divisors.
Prime factorization of 137923036613828608000:
216 × 53 × 372 × 53 × 67 × 18612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 37 × 37 × 53 × 67 × 1861 × 1861)See below for interesting mathematical facts about the number 137923036613828608000 from the Numbermatics database.
Names of 137923036613828608000
- Cardinal: 137923036613828608000 can be written as One hundred thirty-seven quintillion, nine hundred twenty-three quadrillion, thirty-six trillion, six hundred thirteen billion, eight hundred twenty-eight million, six hundred eight thousand.
Scientific notation
- Scientific notation: 1.37923036613828608 × 1020
Factors of 137923036613828608000
Divisors of 137923036613828608000
- Number of divisors d(n): 2448
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 37 40 50 53 64 67 74 80 100 106 125 128 134 148 160 185 200 212 250 256 265 268 296 320 335 370 400 424 500 512 530 536 592 640 670 740 800 848 925 1000 1024 1060 1072 1184 1280 1325 1340 1369 1480 1600 1675 1696 1850 1861 1961 2000 2048 2120 2144 2368 2479 2560 2650 2680 2738 2960 3200 3350 3392 3551 3700 3722 3922 4000 4096 4240 4288 4625 4736 4958 5120 5300 5360 5476 5920 6400 6625 6700 6784 6845 7102 7400 7444 7844 8000 8192 8375 8480 8576 9250 9305 9472 9805 9916 10240 10600 10720 10952 11840 12395 12800 13250 13400 13568 13690 14204 14800 14888 15688 16000 16384 16750 16960 17152 17755 18500 18610 18944 19610 19832 20480 21200 21440 21904 23680 24790 25600 26500 26800 27136 27380 28408 29600 29776 31376 32000 32768 33500 33920 34225 34304 35510 37000 37220 37888 39220 39664 40960 42400 42880 43808 46525 47360 49025 49580 51200 53000 53600 54272 54760 56816 59200 59552 61975 62752 64000 65536 67000 67840 68450 68608 68857 71020 72557 74000 74440 75776 78440 79328 81920 84800 85760 87616 88775 91723 93050 94720 98050 98633 99160 102400 106000 107200 108544 109520 113632 118400 119104 123950 124687 125504 128000 131387 134000 135680 136900 137216 137714 142040 145114 148000 148880 151552 156880 158656 163840 169600 171125 171520 175232 177550 183446 186100 189440 196100 197266 198320 204800 212000 214400 217088 219040 227264 232625 236800 238208 245125 247900 249374 251008 256000 262774 268000 271360 273800 274432 275428 284080 290228 296000 297760 303104 309875 313760 317312 327680 339200 342250 343040 344285 350464 355100 362785 366892 372200 378880 392200 394532 396640 409600 424000 428800 434176 438080 443875 454528 458615 465250 473600 476416 490250 493165 495800 498748 502016 512000 525548 536000 542720 547600 548864 550856 568160 580456 592000 595520 606208 619750 623435 627520 634624 656935 678400 684500 686080 688570 700928 710200 725570 733784 744400 757760 784400 789064 793280 819200 848000 857600 868352 876160 887750 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46595620477644800 50373643759616000 51463819632025600 52046428910878720 53876186177276800 55636561764352000 58244525597056000 64329774540032000 65058036138598400 67345232721596000 68961518306914304 70333012041728000 74112324886528000 74552992764231680 81322545173248000 82342111411240960 86201897883642880 93191240955289600 100747287519232000 102927639264051200 104092857821757440 107752372354553600 116489051194112000 128659549080064000 130116072277196800 134690465443192000 137923036613828608 149105985528463360 162645090346496000 172403795767285760 186382481910579200 205855278528102400 215504744709107200 232978102388224000 257319098160128000 260232144554393600 269380930886384000 275846073227657216 325290180692992000 344807591534571520 372764963821158400 411710557056204800 431009489418214400 465956204776448000 514638196320256000 520464289108787200 538761861772768000 551692146455314432 650580361385984000 689615183069143040 745529927642316800 862018978836428800 931912409552896000 1029276392640512000 1077523723545536000 1103384292910628864 1301160722771968000 1379230366138286080 1724037957672857600 1863824819105792000 2058552785281024000 2155047447091072000 2602321445543936000 2758460732276572160 3448075915345715200 3727649638211584000 4310094894182144000 5516921464553144320 6896151830691430400 8620189788364288000 13792303661382860800 17240379576728576000 27584607322765721600 34480759153457152000 68961518306914304000 137923036613828608000
- Sum of all divisors σ(n): 366061585401772801632
- Sum of proper divisors (its aliquot sum) s(n): 228138548787944193632
- 137923036613828608000 is an abundant number, because the sum of its proper divisors (228138548787944193632) is greater than itself. Its abundance is 90215512174115585632
Bases of 137923036613828608000
- Binary: 11101111010000100010000111100001101011111100111001100000000000000002
- Hexadecimal: 0x77A110F0D7E730000
- Base-36: T3VHG1K6SUYV4
Squares and roots of 137923036613828608000
- 137923036613828608000 squared (1379230366138286080002) is 19022764028779506774813335999217664000000
- 137923036613828608000 cubed (1379230366138286080003) is 2623677379637577713063020216810433339943971782131712000000000
-
The
square root of 137923036613828608000 is 11744063888.3577522881 -
The
cube root of 137923036613828608000 is 5166688.3979076133
Scales and comparisons
How big is 137923036613828608000?- 137,923,036,613,828,608,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,923,036,613,828,608,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137923036613828608000 cubic inches would be around 430557.4 feet tall.
Recreational maths with 137923036613828608000
- 137923036613828608000 backwards is 000806828316630329731
- The number of decimal digits it has is: 21
- The sum of 137923036613828608000's digits is 76
- More coming soon!
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"Number 137923036613828608000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 137923036613828608000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/137923036613828608000/
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Numbermatics. 2024. "Number 137923036613828608000 - Facts about the integer". https://numbermatics.com/n/137923036613828608000/
The information we have on file for 137923036613828608000 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 137923036613828608000, math, Factors of 137923036613828608000, curriculum, school, college, exams, university, Prime factorization of 137923036613828608000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quintillion, nine hundred twenty-three quadrillion, thirty-six trillion, six hundred thirteen billion, eight hundred twenty-eight million, six hundred eight thousand.