138141738039240
138,141,738,039,240 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138141738039240 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
138141738039240 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138141738039240:
23 × 37 × 5 × 132 × 31 × 73 × 4129
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 31 × 73 × 4129)See below for interesting mathematical facts about the number 138141738039240 from the Numbermatics database.
Names of 138141738039240
- Cardinal: 138141738039240 can be written as One hundred thirty-eight trillion, one hundred forty-one billion, seven hundred thirty-eight million, thirty-nine thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3814173803924 × 1014
Factors of 138141738039240
Divisors of 138141738039240
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 31 36 39 40 45 52 54 60 62 65 72 73 78 81 90 93 104 108 117 120 124 130 135 146 155 156 162 169 180 186 195 216 219 234 243 248 260 270 279 292 310 312 324 338 351 360 365 372 390 403 405 438 465 468 486 507 520 540 558 584 585 620 648 657 676 702 729 730 744 780 806 810 837 845 876 930 936 949 972 1014 1053 1080 1095 1116 1170 1209 1215 1240 1314 1352 1395 1404 1458 1460 1521 1560 1612 1620 1674 1690 1752 1755 1860 1898 1944 1971 2015 2028 2106 2187 2190 2232 2263 2340 2418 2430 2511 2535 2628 2790 2808 2847 2916 2920 3042 3159 3224 3240 3285 3348 3380 3510 3627 3645 3720 3796 3942 4030 4056 4129 4185 4212 4374 4380 4526 4563 4680 4745 4836 4860 5022 5070 5239 5256 5265 5580 5694 5832 5913 6045 6084 6318 6570 6696 6760 6789 7020 7254 7290 7533 7592 7605 7884 8060 8258 8370 8424 8541 8748 8760 9052 9126 9477 9490 9672 9720 9855 10044 10140 10478 10530 10881 10935 11160 11315 11388 11826 12090 12168 12337 12387 12555 12636 13140 13578 13689 14040 14235 14508 14580 15066 15210 15717 15768 15795 16120 16516 16740 17082 17496 17739 18104 18135 18252 18954 18980 19710 20088 20280 20367 20645 20956 21060 21762 21870 22599 22630 22776 22815 23652 24180 24674 24774 25110 25272 25623 26195 26280 27156 27378 28431 28470 29016 29160 29419 29565 30132 30420 31434 31590 32643 33032 33480 33945 34164 35478 36270 36504 37011 37161 37665 37908 37960 39420 40734 41067 41290 41912 42120 42705 43524 43740 45198 45260 45630 47151 47304 47385 48360 49348 49548 50220 51246 52390 53217 53677 54312 54405 54756 56862 56940 58838 59130 60264 60840 61101 61685 61935 62868 63180 65286 67797 67890 68328 68445 70956 72540 74022 74322 75330 75816 76869 78585 78840 81468 82134 82580 85410 87048 87480 88257 88695 90396 90520 91260 94302 94770 97929 98696 99096 100440 101835 102492 104780 106434 107354 108810 109512 111033 111483 112995 113724 113880 117676 118260 122202 123201 123370 123870 125736 126360 127999 128115 130572 135594 135780 136890 141453 141912 142155 145080 147095 148044 148644 150660 153738 157170 159651 161031 162936 163215 164268 165160 170820 176514 177390 180792 182520 183303 185055 185805 188604 189540 195858 203670 204984 205335 209560 212868 214708 217620 222066 222966 225990 227448 230607 235352 235755 236520 244404 246402 246740 247740 255998 256230 261144 264771 266085 268385 271188 271560 273780 282906 284310 293787 294190 296088 297288 301320 301417 305505 307476 314340 319302 322062 326430 328536 333099 334449 338985 341640 353028 354780 366606 369603 370110 371610 377208 379080 382447 383997 384345 391716 407340 410670 424359 425736 429416 435240 441285 444132 445932 451980 461214 471510 483093 488808 489645 492804 493480 495480 511996 512460 529542 532170 536770 542376 547560 549909 555165 557415 565812 568620 587574 588380 602834 611010 614952 616005 628680 638604 639995 644124 652860 666198 668898 677970 691821 697801 706056 707265 709560 733212 739206 740220 743220 764894 767994 768690 783432 794313 798255 805155 814680 821340 848718 881361 882570 888264 891864 903960 904251 916515 922428 943020 966186 979290 985608 999297 1003347 1023992 1024920 1059084 1064340 1073540 1099818 1110330 1114830 1131624 1137240 1147341 1151991 1153035 1175148 1176760 1205668 1222020 1232010 1273077 1277208 1279990 1288248 1305720 1323855 1332396 1337796 1355940 1383642 1395602 1414530 1449279 1466424 1468935 1478412 1480440 1486440 1507085 1529788 1535988 1537380 1588626 1596510 1610310 1642680 1649727 1663987 1665495 1672245 1697436 1762722 1765140 1808502 1833030 1844856 1848015 1886040 1912235 1919985 1932372 1958580 1998594 2006694 2075463 2093403 2118168 2121795 2128680 2147080 2199636 2220660 2229660 2294682 2303982 2306070 2350296 2382939 2411336 2415465 2444040 2464020 2546154 2559980 2647710 2664792 2675592 2711880 2712753 2749545 2767284 2791204 2829060 2898558 2937870 2956824 2997891 3010041 3014170 3059576 3071976 3074760 3177252 3193020 3220620 3299454 3327974 3330990 3344490 3394872 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28424225934 28565289090 29113116552 29517465393 30274323480 30521815740 31539209598 31582473260 32797183770 33008778504 33456463560 34058613915 34278346908 35043566220 36391395690 37134875817 37898967912 38087052120 39356620524 40870336698 41260973130 42052279464 42636338901 42847933635 43729578360 45411485220 47308814397 47373709890 48521860920 49195775655 49513167756 52565349330 54493782264 55014630840 56848451868 57130578180 59034930786 61043631480 61891459695 63078419196 63164946520 65594367540 68117227830 68556693816 70087132440 71060564835 72782791380 74269751634 78713241048 78848023995 81740673396 82521946260 85272677802 85695867270 88552396179 90822970440 94617628794 94747419780 98391551310 99026335512 102175841745 105130698660 111404627451 113696903736 114261156360 118069861572 123782919390 126156838392 127909016703 131188735080 136234455660 142121129670 145565582760 147587326965 148539503268 157696047990 163481346792 165043892520 170545355604 171391734540 177104792358 185674379085 189235257588 189494839560 196783102620 204351683490 210261397320 213181694505 222809254902 236139723144 236544071985 247565838780 255818033406 265657188537 272468911320 284242259340 295174653930 297079006536 315392095980 341090711208 342783469080 354209584716 371348758170 378470515176 383727050109 393566205240 408703366980 426363389010 442761980895 445618509804 473088143970 495131677560 511636066812 531314377074 557023137255 568484518680 590349307860 630784191960 639545083515 708419169432 742697516340 767454100218 817406733960 852726778020 885523961790 891237019608 946176287940 1023272133624 1062628754148 1114046274510 1151181150327 1180698615720 1279090167030 1328285942685 1485395032680 1534908200436 1705453556040 1771047923580 1892352575880 1918635250545 2125257508296 2228092549020 2302362300654 2558180334060 2656571885370 3069816400872 3453543450981 3542095847160 3837270501090 4456185098040 4604724601308 5116360668120 5313143770740 5755905751635 6907086901962 7674541002180 9209449202616 10626287541480 11511811503270 13814173803924 15349082004360 17267717254905 23023623006540 27628347607848 34535434509810 46047246013080 69070869019620 138141738039240
- Sum of all divisors σ(n): 528322604544000
- Sum of proper divisors (its aliquot sum) s(n): 390180866504760
- 138141738039240 is an abundant number, because the sum of its proper divisors (390180866504760) is greater than itself. Its abundance is 252039128465520
Bases of 138141738039240
- Binary: 111110110100011101000010011100101110111110010002
- Hexadecimal: 0x7DA3A13977C8
- Base-36: 1CYTFS44I0
Squares and roots of 138141738039240
- 138141738039240 squared (1381417380392402) is 19083139788502007599779777600
- 138141738039240 cubed (1381417380392403) is 2636178097629442151623605673132827273024000
-
The
square root of 138141738039240 is 11753371.3477980437 -
The
cube root of 138141738039240 is 51694.1785586919
Scales and comparisons
How big is 138141738039240?- 138,141,738,039,240 seconds is equal to 4,392,479 years, 50 weeks, 2 days, 18 hours, 54 minutes.
-
To count from 1 to 138,141,738,039,240 would take you about ten million, nine hundred eighty-one thousand, one hundred ninety-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 138141738039240 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138141738039240
- 138141738039240 backwards is 042930837141831
- 138141738039240 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138141738039240's digits is 54
- More coming soon!
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MLA style:
"Number 138141738039240 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 138141738039240 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138141738039240/
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The information we have on file for 138141738039240 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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