137332205531136
137,332,205,531,136 is an even composite number composed of five prime numbers multiplied together.
What does the number 137332205531136 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1404 divisors.
137332205531136 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred four divisors.
Prime factorization of 137332205531136:
212 × 32 × 72 × 113 × 2392
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 11 × 11 × 239 × 239)See below for interesting mathematical facts about the number 137332205531136 from the Numbermatics database.
Names of 137332205531136
- Cardinal: 137332205531136 can be written as One hundred thirty-seven trillion, three hundred thirty-two billion, two hundred five million, five hundred thirty-one thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 1.37332205531136 × 1014
Factors of 137332205531136
Divisors of 137332205531136
- Number of divisors d(n): 1404
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 49 56 63 64 66 72 77 84 88 96 98 99 112 121 126 128 132 144 147 154 168 176 192 196 198 224 231 239 242 252 256 264 288 294 308 336 352 363 384 392 396 441 448 462 478 484 504 512 528 539 576 588 616 672 693 704 717 726 768 784 792 847 882 896 924 956 968 1008 1024 1056 1078 1089 1152 1176 1232 1331 1344 1386 1408 1434 1452 1536 1568 1584 1617 1673 1694 1764 1792 1848 1912 1936 2016 2048 2112 2151 2156 2178 2304 2352 2464 2541 2629 2662 2688 2772 2816 2868 2904 3072 3136 3168 3234 3346 3388 3528 3584 3696 3824 3872 3993 4032 4096 4224 4302 4312 4356 4608 4704 4851 4928 5019 5082 5258 5324 5376 5544 5632 5736 5808 5929 6144 6272 6336 6468 6692 6776 7056 7168 7392 7623 7648 7744 7887 7986 8064 8448 8604 8624 8712 9216 9317 9408 9702 9856 10038 10164 10516 10648 10752 11088 11264 11472 11616 11711 11858 11979 12288 12544 12672 12936 13384 13552 14112 14336 14784 15057 15246 15296 15488 15774 15972 16128 16896 17208 17248 17424 17787 18403 18432 18634 18816 19404 19712 20076 20328 21032 21296 21504 22176 22528 22944 23232 23422 23661 23716 23958 25088 25344 25872 26768 27104 27951 28224 28672 28919 29568 30114 30492 30592 30976 31548 31944 32256 33792 34416 34496 34848 35133 35574 36806 36864 37268 37632 38808 39424 40152 40656 42064 42592 43008 44352 45056 45888 46464 46844 47322 47432 47916 50176 50688 51744 53361 53536 54208 55209 55902 56448 57121 57838 59136 60228 60984 61184 61952 63096 63888 64512 65219 67584 68832 68992 69696 70266 71148 73612 74536 75264 77616 78848 80304 81312 83853 84128 85184 86016 86757 88704 91776 92928 93688 94644 94864 95832 100352 101376 103488 105399 106722 107072 108416 110418 111804 112896 114242 115676 118272 120456 121968 122368 123904 126192 127776 128821 129024 130438 135168 137664 137984 139392 140532 142296 147224 149072 150528 155232 157696 160608 162624 165627 167706 168256 170368 171363 173514 177408 183552 185856 187376 189288 189728 191664 195657 200704 202433 202752 206976 210798 213444 214144 216832 220836 223608 225792 228484 231352 236544 240912 243936 244736 247808 252384 255552 257642 258048 260271 260876 275328 275968 278784 281064 284592 294448 298144 301056 310464 315392 318109 321216 325248 331254 335412 336512 340736 342726 347028 354816 367104 371712 374752 378576 379456 383328 386463 391314 399847 404866 405504 413952 421596 426888 428288 433664 441672 447216 451584 456968 462704 473088 481824 487872 489472 495616 504768 511104 514089 515284 520542 521752 550656 551936 557568 562128 569184 586971 588896 596288 602112 607299 620928 628331 636218 642432 650496 662508 670824 673024 681472 685452 694056 709632 734208 743424 749504 757152 758912 766656 772926 782628 799694 809732 827904 843192 853776 856576 867328 883344 894432 903168 913936 925408 946176 954327 963648 975744 978944 1009536 1022208 1028178 1030568 1041084 1043504 1101312 1103872 1115136 1124256 1138368 1159389 1173942 1177792 1192576 1199541 1214598 1241856 1256662 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22888700921856 34333051382784 45777401843712 68666102765568 137332205531136
- Sum of all divisors σ(n): 509697994299624
- Sum of proper divisors (its aliquot sum) s(n): 372365788768488
- 137332205531136 is an abundant number, because the sum of its proper divisors (372365788768488) is greater than itself. Its abundance is 235033583237352
Bases of 137332205531136
- Binary: 111110011100111001001010101001110110000000000002
- Hexadecimal: 0x7CE72553B000
- Base-36: 1COHJLCZK0
Squares and roots of 137332205531136
- 137332205531136 squared (1373322055311362) is 18860134676046181351865450496
- 137332205531136 cubed (1373322055311363) is 2590103891675679258178027758438431594643456
-
The
square root of 137332205531136 is 11718882.4352468013 -
The
cube root of 137332205531136 is 51593.0019668465
Scales and comparisons
How big is 137332205531136?- 137,332,205,531,136 seconds is equal to 4,366,739 years, 17 weeks, 4 days, 13 hours, 45 minutes, 36 seconds.
-
To count from 1 to 137,332,205,531,136 would take you about ten million, nine hundred sixteen thousand, eight hundred forty-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 137332205531136 cubic inches would be around 4299.4 feet tall.
Recreational maths with 137332205531136
- 137332205531136 backwards is 631135502233731
- The number of decimal digits it has is: 15
- The sum of 137332205531136's digits is 45
- More coming soon!
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"Number 137332205531136 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 137332205531136 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/137332205531136/
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The information we have on file for 137332205531136 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 137332205531136, math, Factors of 137332205531136, curriculum, school, college, exams, university, Prime factorization of 137332205531136, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, three hundred thirty-two billion, two hundred five million, five hundred thirty-one thousand, one hundred thirty-six.