138316218040
138,316,218,040 is an even composite number composed of seven prime numbers multiplied together.
138316218040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138316218040:
23 × 5 × 73 × 112 × 132 × 17 × 29
(2 × 2 × 2 × 5 × 7 × 7 × 7 × 11 × 11 × 13 × 13 × 17 × 29)See below for interesting mathematical facts about the number 138316218040 from the Numbermatics database.
Names of 138316218040
- Cardinal: 138316218040 can be written as One hundred thirty-eight billion, three hundred sixteen million, two hundred eighteen thousand and forty.
Scientific notation
- Scientific notation: 1.3831621804 × 1011
Factors of 138316218040
Divisors of 138316218040
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 17 20 22 26 28 29 34 35 40 44 49 52 55 56 58 65 68 70 77 85 88 91 98 104 110 116 119 121 130 136 140 143 145 154 169 170 182 187 196 203 220 221 232 238 242 245 260 280 286 290 308 319 338 340 343 364 374 377 385 392 406 440 442 455 476 484 490 493 520 539 572 580 595 605 616 637 638 676 680 686 715 728 748 754 770 812 833 845 847 884 910 935 952 968 980 986 1001 1015 1078 1105 1144 1160 1183 1190 1210 1274 1276 1309 1352 1372 1421 1430 1496 1508 1540 1547 1573 1595 1624 1666 1690 1694 1715 1768 1820 1859 1870 1885 1960 1972 2002 2030 2057 2156 2210 2233 2366 2380 2420 2431 2465 2548 2552 2618 2639 2695 2744 2842 2860 2873 3016 3080 3094 3146 3185 3190 3332 3380 3388 3430 3451 3509 3640 3718 3740 3770 3773 3944 4004 4060 4114 4147 4165 4235 4312 4420 4459 4466 4732 4760 4840 4862 4901 4930 5005 5096 5236 5278 5390 5423 5684 5720 5746 5831 5915 5929 6188 6292 6370 6380 6409 6545 6664 6760 6776 6860 6902 7007 7018 7105 7436 7480 7540 7546 7735 7865 8008 8120 8228 8281 8294 8330 8470 8840 8918 8932 9163 9295 9464 9724 9802 9860 9947 10010 10285 10472 10556 10780 10829 10846 11011 11165 11368 11492 11662 11830 11858 12155 12376 12584 12740 12760 12818 13013 13090 13195 13720 13804 14014 14036 14210 14365 14399 14872 15080 15092 15470 15631 15730 16456 16562 16588 16660 16940 17017 17255 17545 17836 17864 18326 18473 18590 18865 19448 19604 19720 19894 20020 20111 20449 20570 20735 21112 21560 21658 21692 22022 22295 22330 22984 23324 23660 23716 24157 24310 24505 24563 25480 25636 26026 26180 26390 26741 27115 27608 28028 28072 28420 28730 28798 29029 29155 29645 30184 30940 31262 31460 31603 32045 33124 33176 33320 33880 34034 34307 34510 35035 35090 35672 36652 36946 37180 37730 37961 39208 39788 40040 40222 40898 41140 41405 41470 41503 43316 43384 44044 44590 44660 44863 45617 45815 46648 47320 47432 48314 48620 49010 49049 49126 49735 51272 52052 52360 52780 53482 53911 54145 54230 55055 56056 56840 57460 57596 57967 58058 58310 59290 59653 61880 62524 62920 63206 64090 64141 65065 66248 68068 68614 69020 70070 70180 70499 71995 73304 73892 74360 75460 75803 75922 77077 78155 79576 80444 81796 82280 82810 82940 83006 83317 85085 86632 88088 89180 89320 89726 91091 91234 91630 92365 96628 97240 98020 98098 98252 99470 100555 100793 102245 104104 105560 106964 107822 108290 108460 109417 110110 114920 115192 115934 116116 116620 118580 119119 119306 120785 122815 125048 126412 128180 128282 129311 130130 133705 136136 137228 138040 140140 140360 140777 140998 143143 143990 145145 147784 150920 151606 151844 154154 156310 158015 160888 163592 165620 165880 166012 166634 169099 170170 171535 171941 178360 179452 182182 182468 183260 184730 187187 189805 193256 196040 196196 196504 198940 201110 201586 203203 204490 207515 213928 215644 216580 216920 218834 220220 221221 224315 228085 231868 232232 233240 237160 238238 238612 240149 241570 245245 245630 252824 256360 256564 258622 260260 265727 267410 269555 274456 280280 281554 281996 286286 287980 289835 290290 298265 303212 303688 308308 312620 314041 316030 319319 320705 331240 332024 333268 338198 340340 343070 343882 347633 352495 358904 364364 364936 366520 369460 374374 377377 379015 379610 385385 392392 397880 402220 403172 406406 408980 415030 416585 417571 431288 433160 437668 440440 442442 448630 455455 456170 463736 476476 477224 480298 483140 490490 491260 493493 503965 513128 517244 520520 531454 534820 539110 539539 547085 563108 563992 572572 575960 579670 580580 583219 593021 595595 596530 606424 616616 625240 628082 632060 637637 638638 641410 646555 666536 676396 680680 686140 687764 695266 703885 704990 705551 715715 728728 738920 748748 754754 758030 759220 770770 775489 804440 806344 812812 817960 830060 833170 833833 835142 845495 859705 875336 884884 897260 910910 912340 916487 935935 952952 960596 966280 980980 982520 985439 986986 1002001 1007930 1016015 1034488 1062908 1069640 1078220 1079078 1094170 1106105 1126216 1145144 1159340 1161160 1166438 1186042 1191190 1193060 1200745 1203587 1256164 1264120 1275274 1277276 1282820 1293110 1310309 1328635 1352792 1372280 1375528 1390532 1407770 1409980 1411102 1422421 1431430 1497496 1509508 1516060 1518440 1541540 1548547 1550978 1570205 1596595 1625624 1660120 1666340 1667666 1670284 1681043 1690990 1719410 1738165 1769768 1794520 1821820 1824680 1832974 1860089 1871870 1886885 1921192 1961960 1970878 1973972 2004002 2015860 2032030 2087855 2125816 2156440 2158156 2188340 2198287 2212210 2235233 2318680 2332876 2372084 2382380 2386120 2401490 2407174 2433431 2467465 2512328 2550548 2554552 2565640 2586220 2620618 2641639 2657270 2697695 2781064 2815540 2819960 2822204 2844842 2862860 2916095 2922997 2965105 3019016 3032120 3083080 3097094 3101956 3140410 3188185 3193190 3332680 3335332 3340568 3362086 3381980 3438820 3454451 3476330 3527755 3643640 3665948 3720178 3743740 3773770 3877445 3941756 3947944 4008004 4031720 4064060 4082533 4151147 4169165 4175710 4316312 4376680 4396574 4424420 4470466 4582435 4665752 4744168 4764760 4802980 4814348 4866862 4927195 4934930 5010005 5101096 5172440 5241236 5283278 5314540 5395390 5428423 5631080 5644408 5689684 5725720 5832190 5845994 5930210 6017935 6194188 6203912 6280820 6376370 6386380 6415409 6551545 6670664 6724172 6763960 6877640 6908902 6952660 7014007 7055510 7112105 7331896 7440356 7487480 7547540 7742735 7754890 7883512 8016008 8128120 8165066 8302294 8338330 8351420 8405215 8793148 8848840 8940932 9164870 9172163 9300445 9605960 9628696 9733724 9854390 9869860 10020010 10081357 10482472 10566556 10629080 10790780 10839829 10856846 10991435 11176165 11379368 11664380 11691988 11860420 12035870 12167155 12388376 12561640 12752740 12772760 12830818 13103090 13208195 13448344 13817804 13905320 14028014 14111020 14224210 14614985 14880712 15095080 15485470 15509780 15646631 16330132 16604588 16676660 16702840 16810430 17034017 17272255 17586296 17881864 18329740 18344326 18491473 18600890 19467448 19708780 19739720 20040020 20162714 20412665 20460979 20755735 21133112 21581560 21679658 21713692 21982870 22352330 23328760 23383976 23720840 24071740 24181157 24334310 25505480 25661636 26206180 26416390 27142115 27635608 28056028 28222040 28448420 28577731 29058029 29229970 30970940 31019560 31293262 32077045 32660264 33209176 33353320 33620860 34068034 34544510 35070035 36659480 36688652 36982946 37201780 37998961 39417560 40080040 40325428 40825330 40921958 41511470 43359316 43427384 43965740 44704660 44907863 45860815 48143480 48362314 48668620 50406785 51323272 52412360 52832780 54199145 54284230 56112056 56896840 57155462 58116058 58459940 61941880 62586524 64154090 67241720 68136068 69089020 70140070 70569499 73377304 73965892 74403560 75997922 78233155 80650856 81650660 81843916 83022940 85170085 86718632 87931480 89409320 89815726 91721630 92457365 96724628 97337240 100813570 102304895 105665560 108398290 108568460 114310924 116232116 116919880 119238119 120905785 125173048 128308180 136272136 138178040 140280140 141138998 142888655 145290145 147931784 151995844 156466310 163301320 163687832 166045880 170340170 179631452 183443260 184914730 189994805 193449256 201627140 203406203 204609790 216796580 217136920 224539315 228621848 232464232 238476238 241811570 256616360 265992727 280560280 282277996 285777310 290580290 303991688 312932620 314355041 340680340 352847495 359262904 366886520 369829460 379989610 403254280 406812406 409219580 433593160 449078630 476952476 483623140 493986493 531985454 564555992 571554620 581160580 596190595 625865240 628710082 681360680 705694990 739658920 759979220 813624812 818439160 898157260 953904952 967246280 987972986 1017031015 1063970908 1143109240 1162321160 1192381190 1257420164 1329963635 1411389980 1519958440 1571775205 1627249624 1796314520 1975945972 2034062030 2127941816 2384762380 2469932465 2514840328 2659927270 2822779960 3143550410 3457905451 3951891944 4068124060 4769524760 4939864930 5319854540 6287100820 6915810902 8136248120 9879729860 10639709080 12574201640 13831621804 17289527255 19759459720 27663243608 34579054510 69158109020 138316218040
- Sum of all divisors σ(n): 473150160000
- Sum of proper divisors (its aliquot sum) s(n): 334833941960
- 138316218040 is an abundant number, because the sum of its proper divisors (334833941960) is greater than itself. Its abundance is 196517723920
Bases of 138316218040
- Binary: 100000001101000100100111111110101110002
- Hexadecimal: 0x203449FEB8
- Base-36: 1RJHWKVS
Squares and roots of 138316218040
- 138316218040 squared (1383162180402) is 19131376172888821441600
- 138316218040 cubed (1383162180403) is 2646179598134550963194972726464000
-
The
square root of 138316218040 is 371908.8840562967 -
The
cube root of 138316218040 is 5171.5933522593
Scales and comparisons
How big is 138316218040?- 138,316,218,040 seconds is equal to 4,398 years, 1 week, 3 days, 3 hours, 40 minutes, 40 seconds.
-
To count from 1 to 138,316,218,040 would take you about eight thousand, seven hundred ninety-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 138316218040 cubic inches would be around 431 feet tall.
Recreational maths with 138316218040
- 138316218040 backwards is 040812613831
- The number of decimal digits it has is: 12
- The sum of 138316218040's digits is 37
- More coming soon!
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The information we have on file for 138316218040 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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