137381387720400
137,381,387,720,400 is an even composite number composed of five prime numbers multiplied together.
137381387720400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 137381387720400:
24 × 33 × 52 × 177 × 31
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 17 × 17 × 17 × 17 × 17 × 17 × 31)See below for interesting mathematical facts about the number 137381387720400 from the Numbermatics database.
Names of 137381387720400
- Cardinal: 137381387720400 can be written as One hundred thirty-seven trillion, three hundred eighty-one billion, three hundred eighty-seven million, seven hundred twenty thousand, four hundred.
Scientific notation
- Scientific notation: 1.373813877204 × 1014
Factors of 137381387720400
Divisors of 137381387720400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 31 34 36 40 45 48 50 51 54 60 62 68 72 75 80 85 90 93 100 102 108 120 124 135 136 144 150 153 155 170 180 186 200 204 216 225 240 248 255 270 272 279 289 300 306 310 340 360 372 400 408 425 432 450 459 465 496 510 527 540 558 578 600 612 620 675 680 720 744 765 775 816 837 850 867 900 918 930 1020 1054 1080 1116 1156 1200 1224 1240 1275 1350 1360 1395 1445 1488 1530 1550 1581 1674 1700 1734 1800 1836 1860 2040 2108 2160 2232 2295 2312 2325 2448 2480 2550 2601 2635 2700 2790 2890 3060 3100 3162 3348 3400 3468 3600 3672 3720 3825 4080 4185 4216 4335 4464 4590 4624 4650 4743 4913 5100 5202 5270 5400 5580 5780 6120 6200 6324 6696 6800 6936 6975 7225 7344 7440 7650 7803 7905 8370 8432 8670 8959 9180 9300 9486 9826 10200 10404 10540 10800 11160 11475 11560 12240 12400 12648 13005 13175 13392 13872 13950 14229 14450 14739 15300 15606 15810 16740 17340 17918 18360 18600 18972 19652 20400 20808 20925 21080 21675 22320 22950 23120 23715 24565 25296 26010 26350 26877 27900 28458 28900 29478 30600 31212 31620 33480 34680 35836 36720 37200 37944 39015 39304 39525 41616 41850 42160 43350 44217 44795 45900 47430 49130 52020 52700 53754 55800 56916 57800 58956 61200 62424 63240 65025 66960 69360 71145 71672 73695 75888 78030 78608 79050 80631 83521 83700 86700 88434 89590 91800 94860 98260 104040 105400 107508 111600 113832 115600 117912 118575 122825 124848 126480 130050 132651 134385 142290 143344 147390 152303 156060 158100 161262 167042 167400 173400 176868 179180 183600 189720 195075 196520 208080 210800 215016 221085 223975 227664 235824 237150 241893 245650 250563 260100 265302 268770 284580 294780 304606 312120 316200 322524 334084 334800 346800 353736 355725 358360 368475 379440 390150 393040 403155 417605 430032 442170 447950 456909 474300 483786 491300 501126 520200 530604 537540 569160 589560 609212 624240 632400 645048 663255 668168 671925 707472 711450 716720 736950 751689 761515 780300 806310 835210 884340 895900 913818 948600 967572 982600 1002252 1040400 1061208 1075080 1105425 1138320 1179120 1209465 1218424 1252815 1290096 1326510 1336336 1343850 1370727 1419857 1422900 1473900 1503378 1523030 1560600 1612620 1670420 1768680 1791800 1827636 1897200 1935144 1965200 2004504 2015775 2088025 2122416 2150160 2210850 2255067 2284545 2418930 2436848 2505630 2589151 2653020 2687700 2741454 2839714 2845800 2947800 3006756 3046060 3121200 3225240 3316275 3340840 3537360 3583600 3655272 3758445 3807575 3870288 4009008 4031550 4112181 4176050 4259571 4421700 4510134 4569090 4837860 5011260 5178302 5306040 5375400 5482908 5679428 5691600 5895600 6013512 6047325 6092120 6264075 6450480 6632550 6681680 6853635 7099285 7310544 7516890 7615150 7767453 8063100 8224362 8352100 8519142 8843400 9020268 9138180 9675720 10022520 10356604 10612080 10750800 10965816 11275335 11358856 11422725 12027024 12094650 12184240 12528150 12778713 12945755 13265100 13707270 14198570 15033780 15230300 15534906 16126200 16448724 16704200 17038284 17686800 18040536 18276360 18792225 19351440 20045040 20560905 20713208 21297855 21931632 22550670 22717712 22845450 23302359 24137569 24189300 25056300 25557426 25891510 26530200 27414540 28397140 30067560 30460600 31069812 32252400 32897448 33408400 34076568 34268175 35496425 36081072 36552720 37584450 38336139 38837265 41121810 41426416 42595710 44015567 45101340 45690900 46604718 48275138 48378600 50112600 51114852 51783020 53060400 54829080 56376675 56794280 60135120 60921200 62139624 63893565 64728775 65794896 68153136 68536350 69907077 70992850 72412707 75168900 76672278 77674530 82243620 85191420 88031134 90202680 91381800 93209436 96550276 96757200 100225200 102229704 102804525 103566040 106489275 109658160 112753350 113588560 116511795 120687845 124279248 127787130 129457550 132046701 137072700 139814154 141985700 144825414 150337800 153344556 155349060 164487240 170382840 176062268 180405360 182763600 186418872 191680695 193100552 194186325 204459408 205609050 207132080 212978550 217238121 220077835 225506700 233023590 241375690 255574260 258915100 264093402 274145400 279628308 283971400 289650828 300675600 306689112 310698120 319467825 328974480 340765680 349535385 352124536 362063535 372837744 383361390 386201104 388372650 396140103 410338673 411218100 425957100 434476242 440155670 451013400 466047180 482751380 511148520 517830200 528186804 548290800 559256616 567942800 579301656 582558975 603439225 613378224 621396240 638935650 651714363 660233505 699070770 704249072 724127070 748264639 766722780 776745300 792280206 820677346 822436200 851914200 868952484 880311340 902026800 932094360 958403475 965502760 1022297040 1035660400 1056373608 1086190605 1100389175 1118513232 1158603312 1165117950 1188420309 1206878450 1231016019 1277871300 1303428726 1320467010 1398141540 1448254140 1496529278 1533445560 1553490600 1584560412 1641354692 1644872400 1703828400 1737904968 1747676925 1760622680 1810317675 1864188720 1916806950 1931005520 1980700515 2051693365 2112747216 2172381210 2200778350 2244793917 2330235900 2376840618 2413756900 2462032038 2555742600 2606857452 2640934020 2796283080 2896508280 2993058556 3066891120 3106981200 3169120824 3258571815 3282709384 3301167525 3475809936 3495353850 3521245360 3620635350 3693048057 3741323195 3833613900 3961401030 4103386730 4344762420 4401556700 4489587834 4660471800 4753681236 4827513800 4924064076 5111485200 5213714904 5281868040 5430953025 5592566160 5793016560 5942101545 5986117112 6155080095 6338241648 6517143630 6565418768 6602335050 6734381751 6990707700 7241270700 7386096114 7482646390 7667227800 7922802060 8206773460 8689524840 8803113400 8979175668 9320943600 9507362472 9655027600 9848128152 9903502575 10258466825 10427429808 10563736080 10861906050 11079144171 11223969585 11884203090 11972234224 12310160190 12720498863 13034287260 13204670100 13468763502 13981415400 14482541400 14772192228 14965292780 15334455600 15845604120 16292859075 16413546920 17379049680 17606226800 17958351336 18465240285 18706615975 19014724944 19696256304 19807005150 20203145253 20516933650 21723812100 22158288342 22447939170 23768406180 24620320380 25440997726 26068574520 26409340200 26937527004 27962830800 28965082800 29544384456 29710507725 29930585560 30775400475 31691208240 32585718150 32827093840 33671908755 35916702672 36930480570 37413231950 38161496589 39614010300 40406290506 41033867300 43447624200 44316576684 44895878340 47536812360 49240640760 50881995452 52137149040 52818680400 53875054008 55395720855 56119847925 59088768912 59421015450 59861171120 61550800950 63602494315 65171436300 67343817510 73860961140 74826463900 76322993178 79228020600 80812581012 82067734600 86895248400 88633153368 89791756680 92326201425 95073624720 98481281520 101015726265 101763990904 107750108016 110791441710 112239695850 114484489767 118842030900 123101601900 127204988630 130342872600 134687635020 147721922280 149652927800 152645986356 158456041200 161625162024 164135469200 168359543775 177266306736 179583513360 184652402850 190807482945 202031452530 203527981808 221582883420 224479391700 228968979534 237684061800 246203203800 254409977260 260685745200 269375270040 276978604275 295443844560 299305855600 305291972712 318012471575 323250324048 336719087550 343453469301 369304805700 381614965890 404062905060 443165766840 448958783400 457937959068 475368123600 492406407600 505078631325 508819954520 538750540080 553957208550 572422448835 610583945424 636024943150 673438175100 686906938602 738609611400 763229931780 808125810120 886331533680 897917566800 915875918136 954037414725 1010157262650 1017639909040 1107914417100 1144844897670 1272049886300 1346876350200 1373813877204 1477219222800 1526459863560 1616251620240 1717267346505 1831751836272 1908074829450 2020314525300 2215828834200 2289689795340 2544099772600 2693752700400 2747627754408 2862112244175 3052919727120 3434534693010 3816149658900 4040629050600 4431657668400 4579379590680 5088199545200 5495255508816 5724224488350 6869069386020 7632299317800 8081258101200 8586336732525 9158759181360 11448448976700 13738138772040 15264598635600 17172673465050 22896897953400 27476277544080 34345346930100 45793795906800 68690693860200 137381387720400
- Sum of all divisors σ(n): 536296231987200
- Sum of proper divisors (its aliquot sum) s(n): 398914844266800
- 137381387720400 is an abundant number, because the sum of its proper divisors (398914844266800) is greater than itself. Its abundance is 261533456546400
Bases of 137381387720400
- Binary: 111110011110010100110001101000001010110110100002
- Hexadecimal: 0x7CF298D056D0
- Base-36: 1CP44Z5ZO0
Squares and roots of 137381387720400
- 137381387720400 squared (1373813877204002) is 18873645691982871908576160000
- 137381387720400 cubed (1373813877204003) is 2592887636507756079547990978872185664000000
-
The
square root of 137381387720400 is 11720980.6637670041 -
The
cube root of 137381387720400 is 51599.1601580453
Scales and comparisons
How big is 137381387720400?- 137,381,387,720,400 seconds is equal to 4,368,303 years, 9 weeks, 2 days, 21 hours.
-
To count from 1 to 137,381,387,720,400 would take you about ten million, nine hundred twenty thousand, seven hundred fifty-seven 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 137381387720400 cubic inches would be around 4299.9 feet tall.
Recreational maths with 137381387720400
- 137381387720400 backwards is 004027783183731
- 137381387720400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137381387720400's digits is 54
- More coming soon!
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The information we have on file for 137381387720400 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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