138683418719040
138,683,418,719,040 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138683418719040 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1568 divisors.
138683418719040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred sixty-eight divisors.
Prime factorization of 138683418719040:
26 × 36 × 5 × 13 × 37 × 83 × 14891
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 37 × 83 × 14891)See below for interesting mathematical facts about the number 138683418719040 from the Numbermatics database.
Names of 138683418719040
- Cardinal: 138683418719040 can be written as One hundred thirty-eight trillion, six hundred eighty-three billion, four hundred eighteen million, seven hundred nineteen thousand and forty.
Scientific notation
- Scientific notation: 1.3868341871904 × 1014
Factors of 138683418719040
Divisors of 138683418719040
- Number of divisors d(n): 1568
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 37 39 40 45 48 52 54 60 64 65 72 74 78 80 81 83 90 96 104 108 111 117 120 130 135 144 148 156 160 162 166 180 185 192 195 208 216 222 234 240 243 249 260 270 288 296 312 320 324 332 333 351 360 370 390 405 415 416 432 444 468 480 481 486 498 520 540 555 576 585 592 624 648 664 666 702 720 729 740 747 780 810 830 832 864 888 936 960 962 972 996 999 1040 1053 1079 1080 1110 1170 1184 1215 1245 1248 1296 1328 1332 1404 1440 1443 1458 1480 1494 1560 1620 1660 1665 1728 1755 1776 1872 1924 1944 1992 1998 2080 2106 2158 2160 2220 2241 2340 2368 2405 2430 2490 2496 2592 2656 2664 2808 2880 2886 2916 2960 2988 2997 3071 3120 3159 3237 3240 3320 3330 3510 3552 3645 3735 3744 3848 3888 3984 3996 4160 4212 4316 4320 4329 4440 4482 4680 4810 4860 4980 4995 5184 5265 5312 5328 5395 5616 5772 5832 5920 5976 5994 6142 6240 6318 6474 6480 6640 6660 6723 7020 7104 7215 7290 7470 7488 7696 7776 7968 7992 8424 8632 8640 8658 8880 8964 8991 9213 9360 9477 9620 9711 9720 9960 9990 10530 10656 10790 11205 11232 11544 11664 11840 11952 11988 12284 12480 12636 12948 12960 12987 13280 13320 13446 14040 14430 14580 14891 14940 14985 15355 15392 15552 15795 15936 15984 16185 16848 17264 17316 17760 17928 17982 18426 18720 18954 19240 19422 19440 19920 19980 20169 21060 21312 21580 21645 22410 22464 23088 23328 23904 23976 24568 25272 25896 25920 25974 26560 26640 26892 26973 27639 28080 28860 29133 29160 29782 29880 29970 30710 30784 31590 31968 32370 33615 33696 34528 34632 35520 35856 35964 36852 37440 37908 38480 38844 38880 38961 39840 39923 39960 40338 42120 43160 43290 44673 44820 44955 46065 46176 46656 47385 47808 47952 48555 49136 50544 51792 51948 53280 53784 53946 55278 56160 57720 58266 58320 59564 59760 59940 60507 61420 63180 63936 64740 64935 67230 67392 69056 69264 71712 71928 73704 74455 75816 76960 77688 77760 77922 79680 79846 79920 80676 82917 84240 86320 86580 87399 89346 89640 89910 92130 92352 94770 95904 97110 98272 100845 101088 103584 103896 106560 107568 107892 110556 112320 115440 116532 116640 116883 119128 119520 119769 119880 121014 122840 126360 129480 129870 134019 134460 134865 138195 138528 143424 143856 145665 147408 148910 151632 153920 155376 155844 159692 159840 161352 165834 168480 172640 173160 174798 178692 179280 179820 184260 189540 191808 193583 194220 194805 196544 199615 201690 202176 207168 207792 215136 215784 221112 223365 230880 233064 233280 233766 238256 239040 239538 239760 242028 245680 248751 252720 258960 259740 262197 268038 268920 269730 276390 277056 287712 291330 294816 297820 302535 303264 310752 311688 319384 319680 322704 331668 336960 345280 346320 349596 350649 357384 358560 359307 359640 368520 379080 387166 388440 389610 399230 402057 403380 414585 415584 430272 431568 436995 442224 446730 461760 466128 467532 476512 479076 479520 484056 491360 497502 505440 517920 519480 524394 536076 537840 539460 550967 552780 575424 580749 582660 584415 589632 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144461894499 148166045640 156175021080 160513216110 166686801345 167088456288 171214097184 177799254768 185653840320 187410025296 190237885760 192615859332 197554727520 208233361440 208860570360 214017621480 222249068460 234262531620 237065673024 240769824165 249880033728 256821145776 266698882152 278480760480 285356828640 288323115840 288923788998 296332091280 312350042160 321026432220 333373602690 334176912576 342428194368 355598509536 374820050592 385231718664 395109455040 416466722880 417721140720 428035242960 433385683497 444498136920 468525063240 481539648330 513642291552 533397764304 556961520960 570713657280 577847577996 592664182560 624700084320 642052864440 666747205380 711197019072 722309472495 749640101184 770463437328 835442281440 856070485920 866771366994 888996273840 937050126480 963079296660 1027284583104 1066795528608 1155695155992 1185328365120 1249400168640 1284105728880 1333494410760 1444618944990 1540926874656 1670884562880 1712140971840 1733542733988 1777992547680 1874100252960 1926158593320 2133591057216 2166928417485 2311390311984 2568211457760 2666988821520 2889237889980 3081853749312 3467085467976 3555985095360 3748200505920 3852317186640 4333856834970 4622780623968 5136422915520 5333977643040 5778475779960 6934170935952 7704634373280 8667713669940 9245561247936 10667955286080 11556951559920 13868341871904 15409268746560 17335427339880 23113903119840 27736683743808 34670854679760 46227806239680 69341709359520 138683418719040
- Sum of all divisors σ(n): 554267072612736
- Sum of proper divisors (its aliquot sum) s(n): 415583653893696
- 138683418719040 is an abundant number, because the sum of its proper divisors (415583653893696) is greater than itself. Its abundance is 276900235174656
Bases of 138683418719040
- Binary: 111111000100001101111111110100010110011010000002
- Hexadecimal: 0x7E21BFE8B340
- Base-36: 1D5QA6T000
Squares and roots of 138683418719040
- 138683418719040 squared (1386834187190402) is 19233090627600574274458521600
- 138683418719040 cubed (1386834187190403) is 2667310760768774264014694801021484171264000
-
The
square root of 138683418719040 is 11776392.4322790807 -
The
cube root of 138683418719040 is 51761.6580851867
Scales and comparisons
How big is 138683418719040?- 138,683,418,719,040 seconds is equal to 4,409,703 years, 38 weeks, 3 days, 2 hours, 24 minutes.
-
To count from 1 to 138,683,418,719,040 would take you about eleven million, twenty-four thousand, two hundred fifty-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 138683418719040 cubic inches would be around 4313.5 feet tall.
Recreational maths with 138683418719040
- 138683418719040 backwards is 040917814386831
- The number of decimal digits it has is: 15
- The sum of 138683418719040's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 138683418719040 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 138683418719040 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138683418719040/
Chicago style:
Numbermatics. 2024. "Number 138683418719040 - Facts about the integer". https://numbermatics.com/n/138683418719040/
The information we have on file for 138683418719040 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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