137972471815552000
137,972,471,815,552,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137972471815552000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1760 divisors.
137972471815552000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty divisors.
Prime factorization of 137972471815552000:
210 × 53 × 114 × 17 × 1633
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 17 × 163 × 163 × 163)See below for interesting mathematical facts about the number 137972471815552000 from the Numbermatics database.
Names of 137972471815552000
- Cardinal: 137972471815552000 can be written as One hundred thirty-seven quadrillion, nine hundred seventy-two trillion, four hundred seventy-one billion, eight hundred fifteen million, five hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.37972471815552 × 1017
Factors of 137972471815552000
Divisors of 137972471815552000
- Number of divisors d(n): 1760
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 32 34 40 44 50 55 64 68 80 85 88 100 110 121 125 128 136 160 163 170 176 187 200 220 242 250 256 272 275 320 326 340 352 374 400 425 440 484 500 512 544 550 605 640 652 680 704 748 800 815 850 880 935 968 1000 1024 1088 1100 1210 1280 1304 1331 1360 1375 1408 1496 1600 1630 1700 1760 1793 1870 1936 2000 2057 2125 2176 2200 2420 2560 2608 2662 2720 2750 2771 2816 2992 3025 3200 3260 3400 3520 3586 3740 3872 4000 4075 4114 4250 4352 4400 4675 4840 5120 5216 5324 5440 5500 5542 5632 5984 6050 6400 6520 6655 6800 7040 7172 7480 7744 8000 8150 8228 8500 8704 8800 8965 9350 9680 10285 10432 10648 10880 11000 11084 11264 11968 12100 12800 13040 13310 13600 13855 14080 14344 14641 14960 15125 15488 16000 16300 16456 17000 17408 17600 17930 18700 19360 19723 20375 20570 20864 21296 21760 22000 22168 22627 23375 23936 24200 25600 26080 26569 26620 27200 27710 28160 28688 29282 29920 30250 30481 30976 32000 32600 32912 33275 34000 35200 35860 37400 38720 39446 40750 41140 41728 42592 43520 44000 44336 44825 45254 46750 47872 48400 51425 52160 53138 53240 54400 55420 56320 57376 58564 59840 60500 60962 61952 64000 65200 65824 66550 68000 69275 70400 71720 73205 74800 77440 78892 81500 82280 83456 85184 87040 88000 88672 89650 90508 93500 95744 96800 98615 102850 104320 106276 106480 108800 110840 113135 114752 117128 119680 121000 121924 123904 128000 130400 131648 132845 133100 136000 138550 140800 143440 146410 149600 152405 154880 157784 163000 164560 166375 166912 170368 176000 177344 179300 181016 187000 191488 193600 197230 205700 208640 212552 212960 216953 217600 221680 224125 226270 229504 234256 239360 242000 243848 248897 257125 260800 263296 265690 266200 272000 277100 281600 286880 292259 292820 299200 304810 309760 315568 326000 329120 332750 335291 340736 346375 352000 354688 358600 362032 366025 374000 387200 394460 411400 417280 425104 425920 433906 435200 443360 448250 451673 452540 459008 468512 478720 484000 487696 493075 497794 514250 521600 526592 531380 532400 544000 554200 565675 573760 584518 585640 598400 609620 619520 631136 652000 658240 664225 665500 670582 681472 692750 704000 709376 717200 724064 732050 748000 762025 774400 788920 822800 834560 850208 851840 867812 886720 896500 903346 905080 918016 937024 957440 968000 975392 986150 995588 1028500 1043200 1053184 1062760 1064800 1084765 1088000 1108400 1131350 1147520 1169036 1171280 1196800 1219240 1244485 1262272 1304000 1316480 1328450 1331000 1341164 1362944 1385500 1408000 1418752 1434400 1448128 1461295 1464100 1496000 1524050 1548800 1577840 1645600 1676455 1700416 1703680 1735624 1773440 1793000 1806692 1810160 1830125 1836032 1874048 1936000 1950784 1972300 1991176 2057000 2086400 2106368 2125520 2129600 2169530 2176000 2216800 2258365 2262700 2295040 2338072 2342560 2386483 2393600 2438480 2465375 2488970 2524544 2608000 2632960 2656900 2662000 2682328 2771000 2828375 2837504 2868800 2896256 2922590 2928200 2992000 3048100 3097600 3155680 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33858275292160 34493117953888 35633386316000 36891035244800 38475312832000 39196724947600 40580138769280 42322844115200 43116397442360 45610734484480 46113794056000 48995906184500 49791581312000 50171807932928 50725173461600 51830380096000 52903555144000 53895496802950 57013418105600 62714759916160 63406466827000 64928222030848 67074609536000 68986235907776 71266772632000 73782070489600 76950625664000 78393449895200 81160277538560 84645688230400 86232794884720 92227588112000 97991812369000 100343615865856 101450346923200 103660760192000 105807110288000 107790993605900 114026836211200 125429519832320 126812933654000 134738742007375 137972471815552 142533545264000 147564140979200 156786899790400 162320555077120 169291376460800 172465589769440 184455176224000 195983624738000 202900693846400 211614220576000 215581987211800 228053672422400 250859039664640 253625867308000 269477484014750 275944943631104 285067090528000 313573799580800 324641110154240 344931179538880 368910352448000 391967249476000 405801387692800 423228441152000 431163974423600 501718079329280 507251734616000 538954968029500 551889887262208 570134181056000 627147599161600 689862359077760 737820704896000 783934498952000 811602775385600 846456882304000 862327948847200 1014503469232000 1077909936059000 1103779774524416 1140268362112000 1254295198323200 1379724718155520 1567868997904000 1623205550771200 1724655897694400 2029006938464000 2155819872118000 2508590396646400 2759449436311040 3135737995808000 3449311795388800 4058013876928000 4311639744236000 5518898872622080 6271475991616000 6898623590777600 8116027753856000 8623279488472000 12542951983232000 13797247181555200 17246558976944000 27594494363110400 34493117953888000 68986235907776000 137972471815552000
- Sum of all divisors σ(n): 403376949866030400
- Sum of proper divisors (its aliquot sum) s(n): 265404478050478400
- 137972471815552000 is an abundant number, because the sum of its proper divisors (265404478050478400) is greater than itself. Its abundance is 127432006234926400
Bases of 137972471815552000
- Binary: 1111010100010110100111011011010110101100100111100000000002
- Hexadecimal: 0x1EA2D3B6B593C00
- Base-36: 11QJ5QJ3BNR4
Squares and roots of 137972471815552000
- 137972471815552000 squared (1379724718155520002) is 19036402978893291003109064704000000
- 137972471815552000 cubed (1379724718155520003) is 2626499573474844727263407603877367521476608000000000
-
The
square root of 137972471815552000 is 371446458.8814274859 -
The
cube root of 137972471815552000 is 516730.5615982255
Scales and comparisons
How big is 137972471815552000?- 137,972,471,815,552,000 seconds is equal to 4,387,097,826 years, 44 weeks, 4 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 137,972,471,815,552,000 would take you about thirteen billion, one hundred sixty-one million, two hundred ninety-three thousand, four hundred eighty 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 137972471815552000 cubic inches would be around 43060.9 feet tall.
Recreational maths with 137972471815552000
- 137972471815552000 backwards is 000255518174279731
- The number of decimal digits it has is: 18
- The sum of 137972471815552000's digits is 67
- More coming soon!
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"Number 137972471815552000 - Facts about the integer". Numbermatics.com. 2024. Web. 2 June 2024.
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Numbermatics. (2024). Number 137972471815552000 - Facts about the integer. Retrieved 2 June 2024, from https://numbermatics.com/n/137972471815552000/
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The information we have on file for 137972471815552000 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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