138242506752
138,242,506,752 is an even composite number composed of five prime numbers multiplied together.
138242506752 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred ten divisors.
Prime factorization of 138242506752:
214 × 32 × 72 × 192 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 19 × 19 × 53)See below for interesting mathematical facts about the number 138242506752 from the Numbermatics database.
Names of 138242506752
- Cardinal: 138242506752 can be written as One hundred thirty-eight billion, two hundred forty-two million, five hundred six thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 1.38242506752 × 1011
Factors of 138242506752
Divisors of 138242506752
- Number of divisors d(n): 810
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 49 53 56 57 63 64 72 76 84 96 98 106 112 114 126 128 133 144 147 152 159 168 171 192 196 212 224 228 252 256 266 288 294 304 318 336 342 361 371 384 392 399 424 441 448 456 477 504 512 532 576 588 608 636 672 684 722 742 768 784 798 848 882 896 912 931 954 1007 1008 1024 1064 1083 1113 1152 1176 1197 1216 1272 1344 1368 1444 1484 1536 1568 1596 1696 1764 1792 1824 1862 1908 2014 2016 2048 2128 2166 2226 2304 2352 2394 2432 2527 2544 2597 2688 2736 2793 2888 2968 3021 3072 3136 3192 3249 3339 3392 3528 3584 3648 3724 3816 4028 4032 4096 4256 4332 4452 4608 4704 4788 4864 5054 5088 5194 5376 5472 5586 5776 5936 6042 6144 6272 6384 6498 6678 6784 7049 7056 7168 7296 7448 7581 7632 7791 8056 8064 8192 8379 8512 8664 8904 9063 9216 9408 9576 9728 10108 10176 10388 10752 10944 11172 11552 11872 12084 12288 12544 12768 12996 13356 13568 14098 14112 14336 14592 14896 15162 15264 15582 16112 16128 16384 16758 17024 17328 17689 17808 18126 18432 18816 19133 19152 19456 20216 20352 20776 21147 21504 21888 22344 22743 23104 23373 23744 24168 24576 25088 25536 25992 26712 27136 28196 28224 28672 29184 29792 30324 30528 31164 32224 32256 33516 34048 34656 35378 35616 36252 36864 37632 38266 38304 38912 40432 40704 41552 42294 43008 43776 44688 45486 46208 46746 47488 48336 49152 49343 50176 51072 51984 53067 53424 54272 56392 56448 57344 57399 58368 59584 60648 61056 62328 63441 64448 64512 67032 68096 69312 70756 71232 72504 73728 75264 76532 76608 77824 80864 81408 83104 84588 86016 87552 89376 90972 92416 93492 94976 96672 98686 100352 102144 103968 106134 106848 108544 112784 112896 114688 114798 116736 119168 121296 122112 124656 126882 128896 129024 133931 134064 136192 138624 141512 142464 145008 147456 148029 150528 153064 153216 155648 159201 161728 162816 166208 169176 172032 172197 175104 178752 181944 184832 186984 189952 193344 197372 200704 204288 207936 212268 213696 217088 225568 225792 229596 233472 238336 242592 244224 249312 253764 257792 258048 267862 268128 272384 277248 283024 284928 290016 296058 301056 306128 306432 311296 318402 323456 325632 332416 338352 344064 344394 350208 357504 363888 369664 373968 379904 386688 394744 401408 401793 408576 415872 424536 427392 434176 444087 451136 451584 459192 466944 476672 485184 488448 498624 507528 515584 516096 535724 536256 544768 554496 566048 569856 580032 592116 602112 612256 612864 636804 646912 651264 664832 676704 688788 700416 715008 727776 739328 747936 759808 773376 789488 802816 803586 817152 831744 849072 854784 868352 888174 902272 903168 918384 933888 937517 953344 970368 976896 997248 1015056 1031168 1032192 1071448 1072512 1089536 1108992 1132096 1139712 1160064 1184232 1204224 1205379 1224512 1225728 1273608 1293824 1302528 1329664 1353408 1377576 1400832 1430016 1455552 1478656 1495872 1519616 1546752 1578976 1607172 1634304 1663488 1698144 1709568 1776348 1804544 1806336 1836768 1875034 1906688 1940736 1953792 1994496 2030112 2062336 2142896 2145024 2179072 2217984 2264192 2279424 2320128 2368464 2408448 2410758 2449024 2451456 2547216 2587648 2605056 2659328 2706816 2755152 2801664 2812551 2860032 2911104 2957312 2991744 3039232 3093504 3157952 3214344 3268608 3326976 3396288 3419136 3552696 3609088 3612672 3673536 3750068 3813376 3881472 3907584 3988992 4060224 4124672 4285792 4290048 4435968 4528384 4558848 4640256 4736928 4821516 4898048 4902912 5094432 5175296 5318656 5413632 5510304 5625102 5720064 5822208 5914624 5983488 6078464 6187008 6315904 6428688 6537216 6653952 6792576 6838272 7105392 7218176 7225344 7347072 7500136 7626752 7762944 7815168 7977984 8120448 8249344 8437653 8571584 8580096 8871936 9056768 9117696 9280512 9473856 9643032 9796096 9805824 10188864 10350592 10637312 10827264 11020608 11250204 11440128 11644416 11966976 12374016 12631808 12857376 13307904 13585152 13676544 14210784 14436352 14694144 15000272 15253504 15525888 15955968 16240896 16498688 16875306 17143168 17160192 17743872 18113536 18235392 18561024 18947712 19286064 19592192 19611648 20377728 20701184 21274624 21654528 22041216 22500408 22880256 23288832 23933952 24748032 25263616 25714752 26615808 27170304 27353088 28421568 28872704 29388288 30000544 31051776 31911936 32481792 33750612 34286336 34320384 36227072 37122048 37895424 38572128 39184384 40755456 41402368 42549248 43309056 44082432 45000816 45760512 46577664 47867904 49496064 50527232 51429504 53231616 54340608 54706176 56843136 57745408 58776576 60001088 62103552 63823872 64963584 67501224 68572672 68640768 72454144 74244096 75790848 77144256 78368768 81510912 86618112 88164864 90001632 93155328 95735808 101054464 102859008 108681216 113686272 115490816 117553152 120002176 124207104 127647744 129927168 135002448 137145344 137281536 144908288 148488192 151581696 154288512 156737536 163021824 173236224 176329728 180003264 186310656 191471616 202108928 205718016 217362432 227372544 235106304 240004352 259854336 270004896 274290688 289816576 303163392 308577024 313475072 326043648 346472448 352659456 360006528 372621312 382943232 404217856 411436032 434724864 454745088 470212608 480008704 519708672 540009792 548581376 606326784 617154048 652087296 705318912 720013056 808435712 822872064 869449728 909490176 940425216 960017408 1039417344 1080019584 1097162752 1212653568 1234308096 1304174592 1410637824 1440026112 1645744128 1818980352 1920034816 2160039168 2194325504 2425307136 2468616192 2608349184 2821275648 2880052224 3291488256 3637960704 3840069632 4320078336 4937232384 5760104448 6582976512 7275921408 7680139264 8640156672 9874464768 11520208896 15360278528 17280313344 19748929536 23040417792 34560626688 46080835584 69121253376 138242506752
- Sum of all divisors σ(n): 499543859178
- Sum of proper divisors (its aliquot sum) s(n): 361301352426
- 138242506752 is an abundant number, because the sum of its proper divisors (361301352426) is greater than itself. Its abundance is 223058845674
Bases of 138242506752
- Binary: 100000001011111110010101000000000000002
- Hexadecimal: 0x202FE54000
- Base-36: 1RIA0OW0
Squares and roots of 138242506752
- 138242506752 squared (1382425067522) is 19110990673076765589504
- 138242506752 cubed (1382425067523) is 2641951257160223791621327980331008
-
The
square root of 138242506752 is 371809.7722653347 -
The
cube root of 138242506752 is 5170.6745095535
Scales and comparisons
How big is 138242506752?- 138,242,506,752 seconds is equal to 4,395 years, 35 weeks, 4 days, 19 minutes, 12 seconds.
-
To count from 1 to 138,242,506,752 would take you about eight thousand, seven hundred ninety-one 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 138242506752 cubic inches would be around 430.9 feet tall.
Recreational maths with 138242506752
- 138242506752 backwards is 257605242831
- The number of decimal digits it has is: 12
- The sum of 138242506752's digits is 45
- More coming soon!
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The information we have on file for 138242506752 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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