138359076400384
138,359,076,400,384 is an even composite number composed of five prime numbers multiplied together.
What does the number 138359076400384 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
138359076400384 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138359076400384:
28 × 73 × 23 × 293 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 23 × 29 × 29 × 29 × 53 × 53)See below for interesting mathematical facts about the number 138359076400384 from the Numbermatics database.
Names of 138359076400384
- Cardinal: 138359076400384 can be written as One hundred thirty-eight trillion, three hundred fifty-nine billion, seventy-six million, four hundred thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.38359076400384 × 1014
Factors of 138359076400384
Divisors of 138359076400384
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 7 8 14 16 23 28 29 32 46 49 53 56 58 64 92 98 106 112 116 128 161 184 196 203 212 224 232 256 322 343 368 371 392 406 424 448 464 644 667 686 736 742 784 812 841 848 896 928 1127 1219 1288 1334 1372 1421 1472 1484 1537 1568 1624 1682 1696 1792 1856 2254 2438 2576 2597 2668 2744 2809 2842 2944 2968 3074 3136 3248 3364 3392 3712 4508 4669 4876 5152 5194 5336 5488 5618 5684 5887 5888 5936 6148 6272 6496 6728 6784 7424 7889 8533 9016 9338 9752 9947 10304 10388 10672 10759 10976 11236 11368 11774 11872 12296 12544 12992 13456 13568 15778 17066 18032 18179 18676 19343 19504 19663 19894 20608 20776 21344 21518 21952 22472 22736 23548 23744 24389 24592 25984 26912 31556 32683 34132 35351 36064 36358 37352 38686 39008 39326 39788 41209 41216 41552 42688 43036 43904 44573 44944 45472 47096 47488 48778 49184 51968 53824 59731 63112 64607 65366 68264 70702 72128 72716 74704 75313 77372 78016 78652 79576 81461 82418 83104 85376 86072 87808 89146 89888 90944 94192 94976 97556 98368 107648 119462 126224 129214 130732 135401 136528 137641 141404 144256 145432 149408 150626 154744 156032 157304 159152 162922 164836 166208 170723 170752 172144 178292 179776 181888 188384 195112 196736 215296 228781 238924 247457 252448 258428 261464 270802 273056 275282 282808 288463 288512 290864 298816 301252 309488 312011 312064 314608 318304 325844 329672 332416 341446 344288 356584 359552 363776 376768 390224 393472 418117 452249 457562 477848 494914 504896 516856 522928 527191 541604 546112 550564 560947 565616 570227 576926 581728 597632 602504 618976 624022 629216 636608 651688 659344 664832 682892 688576 713168 719104 753536 780448 836234 904498 915124 947807 955696 963487 989828 1009792 1025179 1033712 1045856 1054382 1083208 1092224 1101128 1121894 1131232 1140454 1153852 1163456 1195061 1195264 1205008 1237952 1248044 1258432 1273216 1292617 1303376 1318688 1365784 1377152 1426336 1507072 1560896 1672468 1732199 1808996 1830248 1873603 1895614 1911392 1926974 1979656 2019584 2050358 2067424 2091712 2108764 2166416 2184077 2184448 2202256 2243788 2262464 2280908 2307704 2326912 2362369 2390122 2410016 2475904 2496088 2516864 2546432 2585234 2606752 2637376 2731568 2754304 2852672 3121792 3165743 3344936 3464398 3617992 3660496 3747206 3791228 3822784 3853948 3926629 3959312 3991589 4100716 4134848 4183424 4217528 4332832 4368154 4404512 4487576 4524928 4561816 4615408 4653824 4724738 4780244 4820032 4951808 4992176 5033728 5170468 5213504 5274752 5463136 5705344 6243584 6331486 6634649 6689872 6928796 7176253 7235984 7320992 7494412 7582456 7645568 7707896 7853258 7918624 7983178 8201432 8269696 8365427 8366848 8435056 8665664 8736308 8809024 8975152 9048319 9049856 9123632 9230816 9449476 9560488 9640064 9984352 10340936 10427008 10549504 10926272 11410688 12125393 12662972 13115221 13269298 13379744 13857592 14352506 14471968 14641984 14988824 15164912 15288539 15291136 15415792 15706516 15837248 15966356 16402864 16536583 16539392 16730854 16870112 17331328 17472616 17618048 17950304 18096638 18247264 18461632 18898952 19120976 19280128 19968704 20681872 20854016 21852544 22160201 24250786 25325944 26230442 26538596 26759488 27486403 27715184 27941123 28705012 28943936 29283968 29730191 29977648 30329824 30577078 30831584 31413032 31674496 31932712 32805728 33073166 33461708 33740224 34662656 34945232 35236096 35900608 36193276 36494528 36923264 37797904 38241952 39937408 41363744 43705088 44320402 48501572 50233771 50651888 52460884 53077192 53518976 54334487 54972806 55430368 55882246 57410024 57887872 58567936 59460382 59955296 60659648 61154156 61663168 62826064 63338233 63348992 63865424 65611456 66146332 66923416 67480448 68508701 69890464 71801216 72386552 72989056 73846528 75595808 76483904 79874816 82727488 88640804 91806547 97003144 100467542 101303776 104921768 106154384 107037952 108668974 109945612 110860736 111764492 114820048 115756081 115775744 118920764 119910592 121319296 122308312 123326336 125652128 126676466 127730848 131222912 132292664 133846832 134960896 137017402 139780928 143602432 144773104 145978112 151191616 152967808 165454976 177281608 183613094 192404821 194006288 200935084 202607552 208111337 209843536 212308768 217337948 219891224 221721472 223528984 229640096 231512162 237841528 239821184 242638592 244616624 246652672 251304256 253352932 255461696 262445824 264585328 267693664 274034804 279561856 289546208 302383232 305935616 330909952 351636397 354563216 367226188 380341409 384809642 388012576 401870168 405215104 416222674 419687072 424617536 434675896 439782448 443367631 443442944 447057968 459280192 463024324 475683056 479560907 479642368 489233248 502608512 506705864 510923392 529170656 535387328 548069608 559123712 579092416 604766464 642645829 703272794 709126432 734452376 760682818 769619284 776025152 803740336 810292567 810430208 832445348 839374144 849235072 869351792 879564896 886735262 894115936 918560384 926048648 951366112 959121814 978466496 1005217024 1013411728 1021846784 1058341312 1070774656 1096139216 1158184832 1285291658 1406545588 1418252864 1456779359 1468904752 1521365636 1539238568 1552050304 1575700123 1607480672 1620585134 1664890696 1678748288 1698470144 1738703584 1759129792 1773470524 1788231872 1837120768 1852097296 1902732224 1918243628 1956932992 2026823456 2116682624 2141549312 2192278432 2316369664 2570583316 2662389863 2813091176 2836505728 2913558718 2937809504 3042731272 3078477136 3104100608 3151400246 3214961344 3241170268 3329781392 3356926349 3357496576 3477407168 3518259584 3546941048 3576463744 3704194592 3805464448 3836487256 3913865984 4053646912 4233365248 4384556864 5141166632 5324779726 5626182352 5673011456 5827117436 5875619008 6085462544 6156954272 6302800492 6429922688 6482340536 6659562784 6713852698 6954814336 7036519168 7093882096 7152927488 7408389184 7610928896 7672974512 8107293824 8769113728 10197455513 10282333264 10649559452 11029900861 11252364704 11654234872 11751238016 12170925088 12313908544 12605600984 12859845376 12964681072 13319125568 13427705396 13909628672 14187764192 14816778368 15345949024 16214587648 17538227456 18636729041 20394911026 20564666528 21299118904 22059801722 22504729408 23308469744 23498484443 23502476032 24341850176 24627817088 25211201968 25929362144 26638251136 26855410792 28375528384 29633556736 30691898048 37273458082 40789822052 41129333056 42598237808 44119603444 45009458816 46616939488 46996968886 48683700352 49255634176 50422403936 51858724288 53276502272 53710821584 56751056768 61383796096 74546916164 77209306027 81579644104 82258666112 85196475616 88239206888 90018917632 93233878976 93993937772 97367400704 100844807872 103717448576 107421643168 113502113536 122767592192 149093832328 154418612054 163159288208 164517332224 170392951232 176478413776 186467757952 187987875544 201689615744 207434897152 214843286336 298187664656 308837224108 326318576416 340785902464 352956827552 372935515904 375975751088 403379231488 429686572672 540465142189 596375329312 617674448216 652637152832 681571804928 705913655104 751951502176 859373145344 1080930284378 1192750658624 1235348896432 1305274305664 1411827310208 1503903004352 2161860568756 2385501317248 2470697792864 2610548611328 2823654620416 3007806008704 4323721137512 4771002634496 4941395585728 6015612017408 8647442275024 9882791171456 17294884550048 19765582342912 34589769100096 69179538200192 138359076400384
- Sum of all divisors σ(n): 354769950528000
- Sum of proper divisors (its aliquot sum) s(n): 216410874127616
- 138359076400384 is an abundant number, because the sum of its proper divisors (216410874127616) is greater than itself. Its abundance is 78051797727232
Bases of 138359076400384
- Binary: 111110111010110001110111001100110101101000000002
- Hexadecimal: 0x7DD63B99AD00
- Base-36: 1D1LA5RH8G
Squares and roots of 138359076400384
- 138359076400384 squared (1383590764003842) is 19143234022367296730675347456
- 138359076400384 cubed (1383590764003843) is 2648640178651147119085569664205828971823104
-
The
square root of 138359076400384 is 11762613.5021254523 -
The
cube root of 138359076400384 is 51721.2744996143
Scales and comparisons
How big is 138359076400384?- 138,359,076,400,384 seconds is equal to 4,399,390 years, 34 weeks, 1 day, 1 hour, 53 minutes, 4 seconds.
-
To count from 1 to 138,359,076,400,384 would take you about ten million, nine hundred ninety-eight thousand, four hundred seventy-six 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 138359076400384 cubic inches would be around 4310.1 feet tall.
Recreational maths with 138359076400384
- 138359076400384 backwards is 483004670953831
- The number of decimal digits it has is: 15
- The sum of 138359076400384's digits is 61
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138359076400384 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
APA style:
Numbermatics. (2024). Number 138359076400384 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/138359076400384/
Chicago style:
Numbermatics. 2024. "Number 138359076400384 - Facts about the integer". https://numbermatics.com/n/138359076400384/
The information we have on file for 138359076400384 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 138359076400384, math, Factors of 138359076400384, curriculum, school, college, exams, university, Prime factorization of 138359076400384, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred fifty-nine billion, seventy-six million, four hundred thousand, three hundred eighty-four.