138397046040
138,397,046,040 is an even composite number composed of seven prime numbers multiplied together.
138397046040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138397046040:
23 × 33 × 5 × 112 × 31 × 127 × 269
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 11 × 31 × 127 × 269)See below for interesting mathematical facts about the number 138397046040 from the Numbermatics database.
Names of 138397046040
- Cardinal: 138397046040 can be written as One hundred thirty-eight billion, three hundred ninety-seven million, forty-six thousand and forty.
Scientific notation
- Scientific notation: 1.3839704604 × 1011
Factors of 138397046040
Divisors of 138397046040
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 31 33 36 40 44 45 54 55 60 62 66 72 88 90 93 99 108 110 120 121 124 127 132 135 155 165 180 186 198 216 220 242 248 254 264 269 270 279 297 310 330 341 360 363 372 381 396 440 465 484 495 508 538 540 558 594 605 620 635 660 682 726 744 762 792 807 837 930 968 990 1016 1023 1076 1080 1089 1116 1143 1188 1210 1240 1270 1320 1345 1364 1395 1397 1452 1485 1524 1614 1674 1705 1815 1860 1905 1980 2046 2152 2178 2232 2286 2376 2420 2421 2540 2690 2728 2790 2794 2904 2959 2970 3048 3069 3228 3267 3348 3410 3429 3630 3720 3751 3810 3937 3960 4035 4092 4185 4191 4356 4572 4840 4842 5080 5115 5380 5445 5580 5588 5715 5918 5940 6138 6456 6534 6696 6820 6858 6985 7260 7263 7502 7620 7874 8070 8184 8339 8370 8382 8712 8877 9144 9207 9684 10230 10760 10890 11160 11176 11253 11430 11811 11836 11880 12105 12276 12573 13068 13640 13716 13970 14520 14526 14795 15004 15240 15345 15367 15748 16140 16335 16678 16740 16764 17145 17754 18414 18755 19368 19685 20460 20955 21780 22506 22860 23622 23672 24210 24552 25017 25146 26136 26631 27432 27940 29052 29590 30008 30690 30734 31496 32280 32549 32670 33356 33480 33528 33759 34163 34290 35433 35508 36315 36828 37510 37719 39370 40920 41695 41910 43307 43560 44385 45012 45720 46035 46101 47244 48420 50034 50292 53262 55880 56265 58104 59055 59180 61380 61468 62865 65098 65340 66712 67518 68326 68580 70866 71016 72630 73656 75020 75051 75438 76835 78740 79893 83390 83820 86614 88770 90024 91729 92070 92202 94488 96840 97647 100068 100584 101277 102489 106299 106524 112530 118110 118360 122760 122936 125085 125730 129921 130196 130680 133155 135036 136652 137160 138303 141732 145260 150040 150102 150876 153670 157480 159786 162745 166780 167640 168795 170815 173228 177165 177540 183458 184140 184404 188595 195294 200136 202554 204978 212598 213048 216535 225060 225153 230505 236220 250170 251460 259842 260392 266310 270072 273304 275187 276606 283464 290520 292941 300204 301752 307340 307467 319572 325490 333560 337590 341630 346456 354330 355080 366916 368280 368808 375255 375793 377190 389763 390588 399465 405108 409956 414909 425196 433070 450120 450306 458645 461010 472440 476377 488235 500340 502920 506385 512445 519684 531495 532620 550374 553212 585882 600408 614680 614934 639144 649605 650980 675180 683260 691515 708660 733832 750510 751586 754380 779526 781176 798930 810216 819912 825561 829818 850392 866140 878823 900612 917290 922020 922401 952754 976470 1000680 1009019 1012770 1024890 1039368 1059053 1062990 1065240 1100748 1106424 1125765 1127379 1169289 1171764 1229868 1299210 1301960 1350360 1366520 1375935 1383030 1417320 1429131 1464705 1501020 1503172 1508760 1537335 1559052 1597860 1651122 1659636 1732280 1757646 1801224 1834580 1844040 1844802 1878965 1905508 1948815 1952940 2018038 2025540 2049780 2074545 2118106 2125980 2201496 2251530 2254758 2338578 2343528 2381885 2459736 2476683 2598420 2751870 2766060 2858262 2929410 3002040 3006344 3027057 3074670 3118104 3177159 3195720 3302244 3319272 3382137 3515292 3669160 3689604 3757930 3811016 3897630 3905880 4036076 4051080 4099560 4127805 4133723 4149090 4236212 4251960 4287393 4394115 4503060 4509516 4612005 4677156 4763770 4953366 5045095 5196840 5295265 5503740 5532120 5636895 5716524 5846445 5858820 6054114 6149340 6354318 6604488 6764274 7030584 7145655 7379208 7515860 7795260 8072152 8255610 8267446 8298180 8472424 8574786 8788230 9006120 9019032 9081171 9224010 9354312 9527540 9531477 9906732 10090190 10146411 10590530 11007480 11273790 11433048 11649583 11692890 11717640 12108228 12298680 12383415 12401169 12708636 12862179 13528548 14291310 15031720 15135285 15590520 15885795 16511220 16534892 16596360 16910685 17149572 17576460 18162342 18448020 19055080 19062954 19813464 20180380 20292822 20668615 21181060 21436965 22547580 23299166 23385780 24216456 24766830 24802338 25417272 25724358 27057096 27243513 28582620 28594431 30270570 31771590 33022440 33069784 33821370 34299144 34948749 35152920 36324684 36896040 37203507 38125908 40360760 40585644 41337230 42362120 42873930 45095160 45405855 46598332 46771560 47657385 49533660 49604676 50732055 51448716 54487026 57165240 57188862 58247915 60541140 62005845 63543180 64310895 67642740 69897498 72649368 74407014 76251816 81171288 82674460 85747860 90811710 93196664 95314770 99067320 99209352 101464110 102897432 104846247 108974052 111610521 114377724 116495830 121082280 124011690 127086360 128145413 128621790 135285480 136217565 139794996 142972155 148814028 165348920 171495720 174743745 181623420 186017535 190629540 202928220 209692494 217948104 223221042 228755448 232991660 248023380 256290826 257243580 272435130 279589992 285944310 297628056 314538741 349487490 363246840 372035070 381259080 384436239 405856440 419384988 446442084 465983320 496046760 512581652 514487160 524231235 544870260 558052605 571888620 629077482 640727065 698974980 744070140 768872478 838769976 892884168 1025163304 1048462470 1089740520 1116105210 1143777240 1153308717 1258154964 1281454130 1397949960 1488140280 1537744956 1572693705 1922181195 2096924940 2232210420 2306617434 2516309928 2562908260 3075489912 3145387410 3459926151 3844362390 4193849880 4464420840 4613234868 5125816520 5766543585 6290774820 6919852302 7688724780 9226469736 11533087170 12581549640 13839704604 15377449560 17299630755 23066174340 27679409208 34599261510 46132348680 69198523020 138397046040
- Sum of all divisors σ(n): 529514496000
- Sum of proper divisors (its aliquot sum) s(n): 391117449960
- 138397046040 is an abundant number, because the sum of its proper divisors (391117449960) is greater than itself. Its abundance is 252720403920
Bases of 138397046040
- Binary: 100000001110010001101101010101000110002
- Hexadecimal: 0x20391B5518
- Base-36: 1RKU1060
Squares and roots of 138397046040
- 138397046040 squared (1383970460402) is 19153742352597879681600
- 138397046040 cubed (1383970460403) is 2650821362210786667900775740864000
-
The
square root of 138397046040 is 372017.5345867449 -
The
cube root of 138397046040 is 5172.6005326551
Scales and comparisons
How big is 138397046040?- 138,397,046,040 seconds is equal to 4,400 years, 31 weeks, 15 hours, 54 minutes.
-
To count from 1 to 138,397,046,040 would take you about eight thousand, eight hundred 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 138397046040 cubic inches would be around 431.1 feet tall.
Recreational maths with 138397046040
- 138397046040 backwards is 040640793831
- 138397046040 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138397046040's digits is 45
- More coming soon!
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The information we have on file for 138397046040 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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