138957064017408
138,957,064,017,408 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138957064017408 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
138957064017408 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138957064017408:
29 × 32 × 7 × 132 × 29 × 73 × 12041
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 13 × 29 × 73 × 12041)See below for interesting mathematical facts about the number 138957064017408 from the Numbermatics database.
Names of 138957064017408
- Cardinal: 138957064017408 can be written as One hundred thirty-eight trillion, nine hundred fifty-seven billion, sixty-four million, seventeen thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.38957064017408 × 1014
Factors of 138957064017408
Divisors of 138957064017408
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 29 32 36 39 42 48 52 56 58 63 64 72 73 78 84 87 91 96 104 112 116 117 126 128 144 146 156 168 169 174 182 192 203 208 219 224 232 234 252 256 261 273 288 292 312 336 338 348 364 377 384 406 416 438 448 464 468 504 507 511 512 522 546 576 584 609 624 657 672 676 696 728 754 768 812 819 832 876 896 928 936 949 1008 1014 1022 1044 1092 1131 1152 1168 1183 1218 1248 1314 1344 1352 1392 1456 1508 1521 1533 1536 1624 1638 1664 1752 1792 1827 1856 1872 1898 2016 2028 2044 2088 2117 2184 2262 2304 2336 2366 2436 2496 2628 2639 2688 2704 2784 2847 2912 3016 3042 3066 3248 3276 3328 3393 3504 3549 3584 3654 3712 3744 3796 4032 4056 4088 4176 4234 4368 4524 4599 4608 4672 4732 4872 4901 4992 5256 5278 5376 5408 5568 5694 5824 6032 6084 6132 6351 6496 6552 6643 6656 6786 7008 7098 7308 7424 7488 7592 7917 8064 8112 8176 8352 8468 8541 8736 9048 9198 9344 9464 9744 9802 9984 10512 10556 10647 10752 10816 11136 11388 11648 12041 12064 12168 12264 12337 12702 12992 13104 13286 13572 14016 14196 14616 14703 14819 14848 14976 15184 15834 16128 16224 16352 16704 16936 17082 17472 18096 18396 18688 18928 19053 19488 19604 19929 19968 21024 21112 21294 21632 22272 22776 23296 23751 24082 24128 24336 24528 24674 25404 25984 26208 26572 27144 27521 28032 28392 29232 29406 29638 29952 30368 31668 32256 32448 32704 33408 33872 34164 34307 34944 36123 36192 36792 37011 37376 37856 38106 38976 39208 39858 42048 42224 42588 43264 44109 44457 44544 45552 46592 47502 48164 48256 48672 49056 49348 50808 51968 52416 53144 54288 55042 56064 56784 58464 58812 59276 59787 59904 60736 63336 64896 65408 66816 67744 68328 68614 69888 72246 72384 73584 74022 75712 76212 77952 78416 79716 82563 84096 84287 84448 85176 86359 86528 88218 88914 91104 95004 96328 96512 97344 98112 98696 101616 102921 103936 104832 106288 108369 108576 110084 111033 112128 113568 116928 117624 118552 119574 121472 126672 129792 130816 133371 133632 135488 136656 137228 139776 144492 144768 147168 148044 151424 152424 155904 156533 156832 159432 165126 168192 168574 168896 170352 172718 176436 177828 182208 190008 192647 192656 193024 194688 196224 197392 203232 205842 209664 212576 216738 217152 220168 222066 227136 233856 235248 237104 239148 242944 247689 252861 253344 259077 259584 261632 266742 270976 273312 274456 288984 289536 294336 296088 302848 304848 308763 311808 313066 313664 318864 330252 336384 337148 337792 340704 345436 349189 352872 355656 357773 364416 380016 385294 385312 389376 392448 394784 406464 411684 419328 425152 433476 434304 440336 444132 454272 467712 469599 470496 474208 478296 485888 495378 505722 506688 518154 533484 541952 546624 548912 577941 577968 579072 588672 592176 605696 609696 617526 626132 627328 637728 660504 674296 675584 681408 690872 698378 705744 711312 715546 728832 758583 760032 770588 770624 777231 778752 784896 789568 812928 823368 850304 866952 868608 878993 880672 888264 908544 935424 939198 940992 948416 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23036648544 23859385992 24404120832 24956369256 25694723376 25847668158 26327598336 26437797568 27835950324 28352798208 28521564864 29365398144 29742522264 30155612851 30214625792 30715531392 31812514656 32819334912 33275159008 33991454016 34259631168 34463557544 36606181248 37114600432 37434553884 38028753152 38771502237 39153864192 39656696352 40954041856 41753925486 42416686208 42782347296 45321938688 45679508224 46073297088 47718771984 48808241664 49912738512 51389446752 51695336316 52655196672 52875595136 55671900648 57043129728 58730796288 59485044528 60311225702 61431062784 63625029312 65638669824 66550318016 67982908032 68519262336 68927115088 73212362496 74229200864 74869107768 76057506304 77543004474 79313392704 83507850972 84833372416 85564694592 90466838553 90643877376 91359016448 92146594176 95437543968 99825477024 102778893504 103390672632 105751190272 111343801296 114086259456 117461592576 118970089056 120622451404 122862125568 127250058624 133100636032 135965816064 137038524672 137854230176 146424724992 148458401728 149738215536 155086008948 158626785408 167015701944 169666744832 171129389184 180933677106 184293188352 190875087936 199650954048 205557787008 206781345264 211502380544 222687602592 228172518912 237940178112 241244902808 254500117248 266201272064 271400515659 271931632128 274077049344 275708460352 296916803456 299476431072 310172017896 317253570816 334031403888 342258778368 361867354212 368586376704 381750175872 399301908096 411115574016 413562690528 445375205184 475880356224 482489805616 509000234496 532402544128 542801031318 551416920704 593833606912 598952862144 620344035792 634507141632 668062807776 684517556736 723734708424 763500351744 798603816192 822231148032 827125381056 890750410368 951760712448 964979611232 1085602062636 1102833841408 1187667213824 1197905724288 1240688071584 1336125615552 1447469416848 1527000703488 1597207632384 1654250762112 1781500820736 1903521424896 1929959222464 2171204125272 2205667682816 2395811448576 2481376143168 2672251231104 2894938833696 3308501524224 3563001641472 3859918444928 4342408250544 4791622897152 4962752286336 5344502462208 5789877667392 6617003048448 7719836889856 8684816501088 9925504572672 10689004924416 11579755334784 15439673779712 17369633002176 19851009145344 23159510669568 34739266004352 46319021339136 69478532008704 138957064017408
- Sum of all divisors σ(n): 520489125224640
- Sum of proper divisors (its aliquot sum) s(n): 381532061207232
- 138957064017408 is an abundant number, because the sum of its proper divisors (381532061207232) is greater than itself. Its abundance is 242574997189824
Bases of 138957064017408
- Binary: 111111001100001011101100111000010010110000000002
- Hexadecimal: 0x7E6176709600
- Base-36: 1D97ZS5FK0
Squares and roots of 138957064017408
- 138957064017408 squared (1389570640174082) is 19309065640338025140527038464
- 138957064017408 cubed (1389570640174083) is 2683131070300784155752829019218804381581312
-
The
square root of 138957064017408 is 11788005.0906592333 -
The
cube root of 138957064017408 is 51795.6804855329
Scales and comparisons
How big is 138957064017408?- 138,957,064,017,408 seconds is equal to 4,418,404 years, 42 weeks, 2 days, 1 hour, 16 minutes, 48 seconds.
-
To count from 1 to 138,957,064,017,408 would take you about eleven million, forty-six thousand and twelve 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 138957064017408 cubic inches would be around 4316.3 feet tall.
Recreational maths with 138957064017408
- 138957064017408 backwards is 804710460759831
- 138957064017408 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138957064017408's digits is 63
- More coming soon!
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The information we have on file for 138957064017408 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 138957064017408, math, Factors of 138957064017408, curriculum, school, college, exams, university, Prime factorization of 138957064017408, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, nine hundred fifty-seven billion, sixty-four million, seventeen thousand, four hundred eight.