137238211937857993144
137,238,211,937,857,993,144 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137238211937857993144 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
137238211937857993144 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 137238211937857993144:
23 × 72 × 132 × 172 × 47 × 1492 × 26212
(2 × 2 × 2 × 7 × 7 × 13 × 13 × 17 × 17 × 47 × 149 × 149 × 2621 × 2621)See below for interesting mathematical facts about the number 137238211937857993144 from the Numbermatics database.
Names of 137238211937857993144
- Cardinal: 137238211937857993144 can be written as One hundred thirty-seven quintillion, two hundred thirty-eight quadrillion, two hundred eleven trillion, nine hundred thirty-seven billion, eight hundred fifty-seven million, nine hundred ninety-three thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.37238211937857993144 × 1020
Factors of 137238211937857993144
Divisors of 137238211937857993144
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 4 7 8 13 14 17 26 28 34 47 49 52 56 68 91 94 98 104 119 136 149 169 182 188 196 221 238 289 298 329 338 364 376 392 442 476 578 596 611 637 658 676 728 799 833 884 952 1043 1156 1183 1192 1222 1274 1316 1352 1547 1598 1666 1768 1937 2023 2086 2303 2312 2366 2444 2533 2548 2621 2632 2873 3094 3196 3332 3757 3874 4046 4172 4277 4606 4732 4888 5066 5096 5242 5593 5746 6188 6392 6664 7003 7301 7514 7748 7943 8092 8281 8344 8554 9212 9464 10132 10387 10484 10829 11186 11492 12376 13559 13583 14006 14161 14602 15028 15496 15886 16184 16562 17108 17731 18347 18424 20111 20264 20774 20968 21658 22201 22372 22984 25181 26299 27118 27166 28012 28322 29204 29939 30056 31772 32929 33124 34073 34216 35462 36694 39151 40222 41548 43061 43316 44402 44557 44744 48841 49021 50362 52598 54236 54332 55601 56024 56644 58408 59878 63544 65858 66248 68146 70924 72709 73388 78302 80444 83096 86122 86632 88804 89114 91039 94913 95081 97682 98042 100724 105196 108472 108664 111202 113288 119051 119756 123187 124117 128429 131716 135031 136292 140777 141848 145418 146776 155407 156604 160888 172244 176267 176579 177608 178228 182078 184093 189826 190162 195364 196084 201448 210392 222404 230503 238102 238511 239512 246374 248234 256858 263432 270062 272584 281554 288613 290836 301427 310814 311899 313208 341887 343147 344488 352534 353158 356456 364156 368186 377417 379652 380324 389207 390529 390728 392168 428077 442949 444808 461006 476204 477022 492748 496468 508963 513716 540124 559793 563108 577226 579241 581672 602854 621628 623798 637273 665567 683774 686294 705068 706316 728312 736372 754834 757469 759304 760648 778414 781058 833357 856154 862309 885898 922012 945217 952408 954044 985496 992936 1017926 1027432 1043447 1080248 1087849 1119586 1126216 1154452 1158482 1183507 1205708 1233869 1236053 1243256 1247596 1274546 1331134 1367548 1372588 1410136 1412632 1472744 1509668 1514938 1547663 1556828 1562116 1601431 1613521 1666714 1669577 1712308 1724618 1771796 1844024 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29795530164537124 32087494023347672 32895065181653402 33919478976237764 35425454811011356 36528669666717592 41187938756860142 42940617001832914 44356241738157076 47768260333399928 52142177787939967 52361011803837464 53861150682047878 54180107358017368 56153114540858426 58004316119128484 59359088208416087 59591060329074248 65790130363306804 67838957952475528 70850909622022712 77623423041774883 82375877513720284 85881234003665828 88712483476314152 101507553208474847 104284355575879934 107722301364095756 112306229081716852 115132728135786907 116008632238256968 118718176416832174 131580260726613608 144157785649010497 155246846083549766 164751755027440568 171762468007331656 188514027387167573 203015106416949694 208568711151759868 215444602728191512 224612458163433704 230265456271573814 237436352833664348 288315571298020994 310493692167099532 350097479433311207 364995244515579769 377028054774335146 406030212833899388 417137422303519736 460530912543147628 474872705667328696 576631142596041988 620987384334199064 700194958866622414 729990489031159538 754056109548670292 812060425667798776 921061825086295256 1009104499543073479 1153262285192083976 1319598191710173011 1400389917733244828 1459980978062319076 1508112219097340584 2018208999086146958 2450682356033178449 2639196383420346022 2800779835466489656 2919961956124638152 4036417998172293916 4901364712066356898 5278392766840692044 8072835996344587832 9802729424132713796 10556785533681384088 17154776492232249143 19605458848265427592 34309552984464498286 68619105968928996572 137238211937857993144
- Sum of all divisors σ(n): 354155138438742159120
- Sum of proper divisors (its aliquot sum) s(n): 216916926500884165976
- 137238211937857993144 is an abundant number, because the sum of its proper divisors (216916926500884165976) is greater than itself. Its abundance is 79678714563026172832
Bases of 137238211937857993144
- Binary: 11101110000100100000001001010100011011001011100110001111001101110002
- Hexadecimal: 0x7709012A365CC79B8
- Base-36: SYO6DYF7H40QG
Squares and roots of 137238211937857993144
- 137238211937857993144 squared (1372382119378579931442) is 18834326815900428181843266072091151004736
- 137238211937857993144 cubed (1372382119378579931443) is 2584789335267425067588751642084612809942651676038764199529984
-
The
square root of 137238211937857993144 is 11714871400.8245943333 -
The
cube root of 137238211937857993144 is 5158122.8767210389
Scales and comparisons
How big is 137238211937857993144?- 137,238,211,937,857,993,144 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,238,211,937,857,993,144 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 137238211937857993144 cubic inches would be around 429843.6 feet tall.
Recreational maths with 137238211937857993144
- 137238211937857993144 backwards is 441399758739112832731
- The number of decimal digits it has is: 21
- The sum of 137238211937857993144's digits is 97
- More coming soon!
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"Number 137238211937857993144 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 137238211937857993144 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/137238211937857993144/
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The information we have on file for 137238211937857993144 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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