137974395745368
137,974,395,745,368 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137974395745368 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
137974395745368 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137974395745368:
23 × 33 × 7 × 132 × 312 × 612 × 151
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 13 × 31 × 31 × 61 × 61 × 151)See below for interesting mathematical facts about the number 137974395745368 from the Numbermatics database.
Names of 137974395745368
- Cardinal: 137974395745368 can be written as One hundred thirty-seven trillion, nine hundred seventy-four billion, three hundred ninety-five million, seven hundred forty-five thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37974395745368 × 1014
Factors of 137974395745368
Divisors of 137974395745368
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 31 36 39 42 52 54 56 61 62 63 72 78 84 91 93 104 108 117 122 124 126 151 156 168 169 182 183 186 189 216 217 234 244 248 252 273 279 302 312 338 351 364 366 372 378 403 427 434 453 468 488 504 507 546 549 558 604 651 676 702 728 732 744 756 793 806 819 837 854 868 906 936 961 1014 1057 1092 1098 1116 1183 1208 1209 1281 1302 1352 1359 1404 1464 1512 1521 1586 1612 1638 1647 1674 1708 1736 1812 1891 1922 1953 1963 2028 2114 2184 2196 2232 2366 2379 2418 2457 2562 2604 2718 2808 2821 2883 3042 3171 3172 3224 3276 3294 3348 3416 3549 3624 3627 3721 3782 3843 3844 3906 3926 4056 4077 4228 4392 4563 4681 4732 4758 4836 4914 5124 5208 5239 5436 5551 5642 5673 5766 5859 5889 6084 6342 6344 6552 6588 6696 6727 7098 7137 7254 7442 7564 7686 7688 7812 7852 8154 8456 8463 8649 9126 9211 9362 9464 9513 9516 9672 9828 10248 10309 10478 10647 10872 10881 11102 11163 11284 11346 11529 11532 11718 11778 12168 12493 12684 13176 13237 13454 13741 14043 14196 14274 14508 14884 15128 15372 15624 15704 15717 16308 16653 16926 17019 17298 17667 18252 18422 18724 19026 19032 19656 20181 20618 20956 21294 21411 21762 22204 22326 22568 22692 23058 23064 23436 23556 24583 24986 25368 25389 25519 25947 26047 26474 26908 27482 27633 28086 28392 28539 28548 29016 29768 30744 30927 31434 31941 32616 32767 33306 33489 33852 34038 34596 35334 36504 36673 36844 37448 37479 38052 39711 40362 41223 41236 41912 42129 42588 42822 43524 44408 44652 45384 46116 46872 47112 47151 48373 49166 49959 49972 50778 51038 51057 51894 52094 52948 53001 53816 54964 55266 56172 57078 57096 58621 60543 60853 61854 62868 63882 64477 65534 66612 66978 67704 68076 69192 70668 72163 73346 73688 73749 74958 76104 76167 76557 78141 79422 80724 82446 82472 82899 84258 85176 85644 87048 87451 89304 92232 92781 94302 96746 98301 98332 99918 99944 100467 101556 102076 102114 103788 104188 105896 106002 109928 110019 110532 112344 112437 114156 115351 117242 119133 119743 121086 121706 123669 123708 125736 126387 127764 128954 131068 133224 133956 136152 141336 141453 144326 145111 145119 146692 147498 149877 149916 152334 153114 156282 158844 161448 162409 164892 165798 168516 171288 172081 174902 175863 178633 181629 182559 185562 188604 193431 193492 196602 196664 199836 200934 203112 204152 204228 207576 208376 212004 216489 220038 221064 221247 224874 228312 229671 230702 234423 234484 238266 239486 242172 243412 247338 247416 248697 252774 255528 257908 262136 262353 267912 278343 282906 285541 288652 290222 290238 293384 294903 294996 299754 299832 304668 306228 312564 317688 319579 324818 329784 330057 331596 337032 337311 338611 344162 346053 349804 351726 357266 357399 359229 363258 365118 371007 371124 377208 386862 386984 393204 399672 401868 408456 410347 424008 425971 432978 435333 435357 440076 442494 449748 459342 461404 468846 468968 476532 478972 484344 486824 487227 494676 497394 505548 515816 516243 524706 527589 535899 547677 556686 561871 565812 571082 577304 580293 580444 580476 589806 589992 599508 609336 612456 625128 628849 639158 649467 649636 660114 663192 663741 674622 677222 688324 689013 692106 699608 703269 703452 714532 714798 718458 726516 730236 742014 742248 762073 773724 786408 787059 791089 803736 807457 820694 838201 851942 856623 865956 870666 870714 880152 884709 884988 899496 918684 922808 937692 953064 957944 958737 974454 989352 990171 994788 1011096 1015777 1015833 1032486 1038159 1049412 1055178 1071798 1077687 1095354 1113372 1123742 1131624 1136863 1142164 1160586 1160888 1160952 1179612 1199016 1231041 1257698 1277913 1278316 1298934 1299272 1305999 1306071 1320228 1327482 1349244 1354444 1376648 1378026 1384212 1406538 1406904 1429064 1429596 1436916 1453032 1460472 1461681 1484028 1499563 1524146 1547448 1548729 1556659 1574118 1582178 1582767 1607697 1614914 1641388 1643031 1676402 1685613 1703884 1713246 1731912 1740879 1741332 1741428 1769418 1769976 1837368 1875384 1886443 1886547 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901122012 905736052 920344698 920584184 935432316 940572054 950767272 950819688 955991268 975408056 976215513 1013385009 1029997878 1035657207 1052693226 1069950492 1079916062 1091681864 1097334063 1115323146 1115674872 1133669628 1139474388 1152254376 1158154296 1176834204 1196126568 1208647778 1227126264 1228142097 1248275574 1254096072 1255134231 1301620684 1302923583 1324282986 1329386786 1351180012 1351683018 1358604078 1373330504 1380517047 1380876276 1403148474 1403590968 1426150908 1463112084 1487097528 1495949299 1544996817 1577733768 1585038091 1611022322 1619874093 1637522796 1664367432 1672984719 1673512308 1709211582 1737231444 1765710648 1802244024 1811472104 1812971667 1840689396 1870864632 1872413361 1881144108 1911982536 1952431026 1994080179 2026770018 2037906117 2059995756 2071314414 2105386452 2139900984 2159832124 2194668126 2230646292 2267339256 2278948776 2353668408 2416533483 2417295556 2456284194 2496551148 2510268462 2563817373 2603241368 2605847166 2648565972 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9510228546 9666133932 9719244558 9825136776 10041073848 10255269492 10423388664 10471645093 10877830002 11044136376 11339118651 11714586156 11774568676 11964481074 11967594392 12160620108 12227436702 12359974536 12427886484 12680304728 12690801669 12958992744 13168008756 13383877752 13463543691 14038908806 14265342819 14499200898 14503773336 14578866837 14737705164 14979306888 15118824868 15952641432 16303248936 16316745003 16921068892 17571879234 17661853014 17946721611 17951391588 18240930162 18539961804 19020457092 19332267864 19438489116 20510538984 20605495183 20943290186 21058363209 21748801347 21755660004 22678237302 23429172312 23549137352 23928962148 24321240216 24454873404 24855772968 25381603338 26336017512 26492779521 26927087382 28077817612 28530685638 28998401796 29157733674 29475410328 30237649736 31414935279 32633490006 33842137784 34017355953 35143758468 35323706028 35893443222 35902783176 36481860324 37079923608 38040914184 38072405007 38876978232 40390631073 41210990366 41886580372 42116726418 42796028457 43497602694 43511320008 45356474604 47857924296 48909746808 49136180821 50763206676 52985559042 53854174764 56155635224 57061371276 57996803592 58315467348 61816485549 62829870558 63175089627 65266980012 68034711906 70287516936 70647412056 71786886444 72963720648 76144810014 79478338563 80781262146 82421980732 83773160744 84233452836 85592056914 86995205388 90712949208 91252907239 94244805837 98272361642 101526413352 102052067859 105971118084 107708349528 114122742552 114217215021 116630934696 123632971098 125659741116 126350179254 130533960024 136069423812 143573772888 147408542463 152289620028 158956677126 161562524292 164843961464 168466905672 171184113828 173990410776 182505814478 185449456647 188489611674 189525268881 196544723284 204104135718 211942236168 228434430042 247265942196 251319482232 252700358508 272138847624 273758721717 282734417511 294817084926 304579240056 317913354252 323125048584 342368227656 365011628956 370898913294 376979223348 379050537762 393089446568 408208271436 442225627389 456868860084 494531884392 505400717016 547517443434 556348369941 565468835022 589634169852 635826708504 638770350673 730023257912 741797826588 753958446696 758101075524 816416542872 821276165151 884451254778 913737720168 1095034886868 1112696739882 1130937670044 1179268339704 1277540701346 1326676882167 1483595653176 1516202151048 1642552330302 1768902509556 1916311052019 2190069773736 2225393479764 2261875340088 2463828495453 2555081402692 2653353764334 3285104660604 3537805019112 3832622104038 4450786959528 4927656990906 5110162805384 5306707528668 5748933156057 6570209321208 7665244208076 9855313981812 10613415057336 11497866312114 15330488416152 17246799468171 19710627963624 22995732624228 34493598936342 45991465248456 68987197872684 137974395745368
- Sum of all divisors σ(n): 501558396019200
- Sum of proper divisors (its aliquot sum) s(n): 363584000273832
- 137974395745368 is an abundant number, because the sum of its proper divisors (363584000273832) is greater than itself. Its abundance is 225609604528464
Bases of 137974395745368
- Binary: 111110101111100101010101101100010110100010110002
- Hexadecimal: 0x7D7CAAD8B458
- Base-36: 1CWOK8U060
Squares and roots of 137974395745368
- 137974395745368 squared (1379743957453682) is 19036933881299423260293455424
- 137974395745368 cubed (1379743957453683) is 2626609449116811071424305551264280762476032
-
The
square root of 137974395745368 is 11746250.2844681459 -
The
cube root of 137974395745368 is 51673.2963402731
Scales and comparisons
How big is 137974395745368?- 137,974,395,745,368 seconds is equal to 4,387,159 years, 16 hours, 22 minutes, 48 seconds.
-
To count from 1 to 137,974,395,745,368 would take you about ten million, nine hundred sixty-seven thousand, eight hundred ninety-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 137974395745368 cubic inches would be around 4306.1 feet tall.
Recreational maths with 137974395745368
- 137974395745368 backwards is 863547593479731
- The number of decimal digits it has is: 15
- The sum of 137974395745368's digits is 81
- More coming soon!
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"Number 137974395745368 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 137974395745368 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/137974395745368/
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The information we have on file for 137974395745368 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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