137916514492416
137,916,514,492,416 is an even composite number composed of five prime numbers multiplied together.
137916514492416 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 137916514492416:
213 × 32 × 112 × 312 × 16087
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 31 × 31 × 16087)See below for interesting mathematical facts about the number 137916514492416 from the Numbermatics database.
Names of 137916514492416
- Cardinal: 137916514492416 can be written as One hundred thirty-seven trillion, nine hundred sixteen billion, five hundred fourteen million, four hundred ninety-two thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.37916514492416 × 1014
Factors of 137916514492416
Divisors of 137916514492416
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 64 66 72 88 93 96 99 121 124 128 132 144 176 186 192 198 242 248 256 264 279 288 341 352 363 372 384 396 484 496 512 528 558 576 682 704 726 744 768 792 961 968 992 1023 1024 1056 1089 1116 1152 1364 1408 1452 1488 1536 1584 1922 1936 1984 2046 2048 2112 2178 2232 2304 2728 2816 2883 2904 2976 3069 3072 3168 3751 3844 3872 3968 4092 4096 4224 4356 4464 4608 5456 5632 5766 5808 5952 6138 6144 6336 7502 7688 7744 7936 8184 8192 8448 8649 8712 8928 9216 10571 10912 11253 11264 11532 11616 11904 12276 12288 12672 15004 15376 15488 15872 16087 16368 16896 17298 17424 17856 18432 21142 21824 22506 22528 23064 23232 23808 24552 24576 25344 30008 30752 30976 31713 31744 32174 32736 33759 33792 34596 34848 35712 36864 42284 43648 45012 45056 46128 46464 47616 48261 49104 50688 60016 61504 61952 63426 63488 64348 65472 67518 67584 69192 69696 71424 73728 84568 87296 90024 90112 92256 92928 95139 95232 96522 98208 101376 116281 120032 123008 123904 126852 126976 128696 130944 135036 135168 138384 139392 142848 144783 169136 174592 176957 180048 184512 185856 190278 190464 193044 196416 202752 232562 240064 246016 247808 253704 253952 257392 261888 270072 270336 276768 278784 285696 289566 338272 348843 349184 353914 360096 369024 371712 380556 380928 386088 392832 405504 465124 480128 492032 495616 498697 507408 514784 523776 530871 540144 553536 557568 571392 579132 676544 697686 698368 707828 720192 738048 743424 761112 761856 772176 785664 811008 930248 960256 984064 991232 997394 1014816 1029568 1046529 1047552 1061742 1080288 1107072 1115136 1142784 1158264 1353088 1395372 1396736 1415656 1440384 1476096 1486848 1496091 1522224 1544352 1571328 1592613 1860496 1920512 1946527 1968128 1994788 2029632 2059136 2093058 2095104 2123484 2160576 2214144 2230272 2285568 2316528 2706176 2790744 2793472 2831312 2880768 2952192 2973696 2992182 3044448 3088704 3142656 3185226 3720992 3841024 3893054 3936256 3989576 4059264 4118272 4186116 4190208 4246968 4321152 4428288 4460544 4488273 4633056 5412352 5485667 5581488 5662624 5761536 5839581 5904384 5984364 6088896 6177408 6285312 6370452 7441984 7682048 7786108 7872512 7979152 8118528 8236544 8372232 8380416 8493936 8642304 8856576 8921088 8976546 9266112 10824704 10971334 11162976 11325248 11523072 11679162 11808768 11968728 12177792 12354816 12570624 12740904 14883968 15364096 15459607 15572216 15958304 16237056 16457001 16473088 16744464 16987872 17284608 17518743 17713152 17953092 18532224 21649408 21942668 22325952 22650496 23046144 23358324 23617536 23937456 24355584 24709632 25141248 25481808 29767936 30728192 30919214 31144432 31916608 32474112 32914002 32946176 33488928 33975744 34569216 35037486 35426304 35906184 37064448 43298816 43885336 44651904 45300992 46092288 46378821 46716648 47874912 48711168 49371003 49419264 50963616 59535872 60342337 61838428 62288864 63833216 64948224 65828004 65892352 66977856 67951488 69138432 70074972 70852608 71812368 74128896 86597632 87770672 89303808 90601984 92184576 92757642 93433296 95749824 97422336 98742006 98838528 101927232 119071744 120684674 123676856 124577728 127666432 129896448 131656008 131784704 133955712 135902976 138276864 139136463 140149944 143624736 148257792 170055677 175541344 178607616 181027011 181203968 185515284 186866592 191499648 194844672 197484012 197677056 203854464 238143488 241369348 247353712 249155456 255332864 259792896 263312016 267911424 271805952 276553728 278272926 280299888 287249472 296515584 340111354 351082688 357215232 362054022 362407936 371030568 373733184 382999296 389689344 394968024 395354112 407708928 476286976 482738696 494707424 498310912 510167031 510665728 526624032 535822848 543081033 543611904 556545852 560599776 574498944 593031168 680222708 702165376 714430464 724108044 724815872 742061136 747466368 765998592 779378688 789936048 815417856 952573952 965477392 989414848 996621824 1020334062 1021331456 1053248064 1071645696 1086162066 1087223808 1113091704 1121199552 1148997888 1186062336 1360445416 1404330752 1428860928 1448216088 1449631744 1484122272 1494932736 1530501093 1531997184 1579872096 1630835712 1870612447 1930954784 1978829696 1993243648 2040668124 2042662912 2106496128 2143291392 2172324132 2174447616 2226183408 2242399104 2297995776 2720890832 2808661504 2857721856 2896432176 2968244544 2989865472 3061002186 3063994368 3159744192 3261671424 3741224894 3861909568 3957659392 3986487296 4081336248 4085325824 4212992256 4286582784 4344648264 4348895232 4452366816 4484798208 4595991552 5441781664 5611837341 5617323008 5792864352 5936489088 5979730944 6122004372 6127988736 6319488384 6523342848 7482449788 7723819136 7915318784 7972974592 8162672496 8425984512 8573165568 8689296528 8904733632 8969596416 9191983104 10883563328 11223674682 11234646016 11585728704 11872978176 11959461888 12244008744 12255977472 12638976768 13046685696 14964899576 15447638272 15830637568 15945949184 16325344992 16835512023 16851969024 17378593056 17809467264 17939192832 18383966208 21767126656 22447349364 22469292032 23171457408 23745956352 23918923776 24488017488 25277953536 29929799152 30895276544 31661275136 32650689984 33671024046 33703938048 34757186112 35618934528 35878385664 36767932416 43534253312 44894698728 44938584064 46342914816 47491912704 47837847552 48976034976 50555907072 59859598304 61790553088 63322550272 65301379968 67342048092 67407876096 69514372224 71237869056 71756771328 87068506624 89789397456 92685829632 94983825408 97952069952 101111814144 119719196608 123581106176 126645100544 130602759936 134684096184 134815752192 139028744448 142475738112 143513542656 174137013248 179578794912 185371659264 189967650816 195904139904 202223628288 239438393216 247162212352 261205519872 269368192368 278057488896 284951476224 348274026496 359157589824 370743318528 379935301632 391808279808 404447256576 478876786432 494324424704 522411039744 538736384736 556114977792 569902952448 696548052992 718315179648 741486637056 783616559616 957753572864 1044822079488 1077472769472 1112229955584 1139805904896 1393096105984 1436630359296 1482973274112 1567233119232 1915507145728 2089644158976 2154945538944 2224459911168 2873260718592 3134466238464 3831014291456 4179288317952 4309891077888 4448919822336 5746521437184 6268932476928 7662028582912 8619782155776 11493042874368 12537864953856 15324057165824 17239564311552 22986085748736 34479128623104 45972171497472 68958257246208 137916514492416
- Sum of all divisors σ(n): 452522034088488
- Sum of proper divisors (its aliquot sum) s(n): 314605519596072
- 137916514492416 is an abundant number, because the sum of its proper divisors (314605519596072) is greater than itself. Its abundance is 176689005103656
Bases of 137916514492416
- Binary: 111110101101111001100001101101011100000000000002
- Hexadecimal: 0x7D6F30DAE000
- Base-36: 1CVXYZTVK0
Squares and roots of 137916514492416
- 137916514492416 squared (1379165144924162) is 19020964969736792558121517056
- 137916514492416 cubed (1379165144924163) is 2623305190908441413695174465055027726647296
-
The
square root of 137916514492416 is 11743786.2077106973 -
The
cube root of 137916514492416 is 51666.0695562637
Scales and comparisons
How big is 137916514492416?- 137,916,514,492,416 seconds is equal to 4,385,318 years, 28 weeks, 6 days, 18 hours, 33 minutes, 36 seconds.
-
To count from 1 to 137,916,514,492,416 would take you about ten million, nine hundred sixty-three thousand, two 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 137916514492416 cubic inches would be around 4305.5 feet tall.
Recreational maths with 137916514492416
- 137916514492416 backwards is 614294415619731
- The number of decimal digits it has is: 15
- The sum of 137916514492416's digits is 63
- More coming soon!
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The information we have on file for 137916514492416 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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