137402121639396629783328
137,402,121,639,396,629,783,328 is an even composite number composed of seven prime numbers multiplied together.
137402121639396629783328 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137402121639396629783328:
25 × 3 × 11 × 709 × 839 × 6823 × 32058703381
(2 × 2 × 2 × 2 × 2 × 3 × 11 × 709 × 839 × 6823 × 32058703381)See below for interesting mathematical facts about the number 137402121639396629783328 from the Numbermatics database.
Names of 137402121639396629783328
- Cardinal: 137402121639396629783328 can be written as One hundred thirty-seven sextillion, four hundred two quintillion, one hundred twenty-one quadrillion, six hundred thirty-nine trillion, three hundred ninety-six billion, six hundred twenty-nine million, seven hundred eighty-three thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37402121639396629783328 × 1023
Factors of 137402121639396629783328
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 32058711768
Divisors of 137402121639396629783328
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 709 839 1056 1418 1678 2127 2517 2836 3356 4254 5034 5672 6712 6823 7799 8508 9229 10068 11344 13424 13646 15598 17016 18458 20136 20469 22688 23397 26848 27292 27687 31196 34032 36916 40272 40938 46794 54584 55374 62392 68064 73832 75053 80544 81876 93588 109168 110748 124784 147664 150106 163752 187176 218336 221496 225159 249568 295328 300212 327504 374352 442992 450318 594851 600424 655008 748704 885984 900636 1189702 1200848 1784553 1801272 2379404 2401696 3569106 3602544 4758808 4837507 5724497 6543361 7138212 7205088 9517616 9675014 11448994 13086722 14276424 14512521 17173491 19035232 19350028 19630083 22897988 26173444 28552848 29025042 34346982 38700056 39260166 45795976 52346888 53212577 57105696 58050084 62969467 68693964 77400112 78520332 91591952 104693776 106425154 116100168 125938934 137387928 154800224 157040664 159637731 183183904 188908401 209387552 212850308 232200336 251877868 274775856 314081328 319275462 377816802 425700616 464400672 503755736 549551712 628162656 638550924 755633604 851401232 1007511472 1277101848 1511267208 1702802464 2015022944 2554203696 3022534416 4058668373 5108407392 6045068832 8117336746 12176005119 16234673492 24352010238 32058703381 32469346984 44645352103 48704020476 64117406762 64938693968 89290704206 96176110143 97408040952 128234813524 129877387936 133936056309 178581408412 192352220286 194816081904 256469627048 267872112618 352645737191 357162816824 384704440572 389632163808 512939254096 535744225236 705291474382 714325633648 769408881144 1025878508192 1057937211573 1071488450472 1410582948764 1428651267296 1538817762288 2115874423146 2142976900944 2821165897528 3077635524576 4231748846292 4285953801888 5642331795056 8463497692584 11284663590112 16926995385168 22729620697129 26897252136659 33853990770336 45459241394258 53794504273318 68188862091387 80691756409977 90918482788516 107589008546636 136377724182774 161383512819954 181836965577032 215178017093272 218736533168563 250025827668419 272755448365548 295869773503249 322767025639908 363673931154064 430356034186544 437473066337126 500051655336838 545510896731096 591739547006498 645534051279816 656209599505689 727347862308128 750077483005257 860712068373088 874946132674252 887609320509747 1000103310673676 1091021793462192 1183479094012996 1291068102559632 1312419199011378 1500154966010514 1749892265348504 1775218641019494 2000206621347352 2182043586924384 2366958188025992 2406101864854193 2582136205119264 2624838398022756 3000309932021028 3499784530697008 3550437282038988 4000413242694704 4733916376051984 4812203729708386 5249676796045512 6000619864042056 6999569061394016 7100874564077976 7218305594562579 8000826485389408 9467832752103968 9624407459416772 10499353592091024 12001239728084112 14201749128155952 14436611189125158 19070151764891231 19248814918833544 20998707184182048 24002479456168224 28403498256311904 28873222378250316 38140303529782462 38497629837667088 57210455294673693 57746444756500632 76280607059564924 76995259675334176 114420910589347386 115492889513001264 152561214119129848 155084202016511167 183519951328424357 209771669413803541 228841821178694772 230985779026002528 305122428238259696 310168404033022334 367039902656848714 419543338827607082 457683642357389544 465252606049533501 550559853985273071 610244856476519392 620336808066044668 629315008241410623 734079805313697428 839086677655214164 915367284714779088 930505212099067002 1101119707970546142 1240673616132089336 1258630016482821246 1468159610627394856 1678173355310428328 1705926222181622837 1830734569429558176 1861010424198134004 2018719464612667927 2202239415941092284 2481347232264178672 2517260032965642492 2936319221254789712 3356346710620856656 3411852444363245674 3722020848396268008 4037438929225335854 4404478831882184568 4962694464528357344 5034520065931284984 5117778666544868511 5872638442509579424 6056158393838003781 6712693421241713312 6823704888726491348 7444041696792536016 8074877858450671708 8808957663764369136 10069040131862569968 10235557333089737022 12112316787676007562 13647409777452982696 14888083393585072032 16149755716901343416 17617915327528738272 20138080263725139936 20471114666179474044 24224633575352015124 27294819554905965392 32299511433802686832 40942229332358948088 48449267150704030248 54589639109811930784 64599022867605373664 81884458664717896176 96898534301408060496 130115645491852869113 163768917329435792352 193797068602816120992 260231290983705738226 390346936475558607339 520462581967411476452 780693872951117214678 1040925163934822952904 1431272100410381560243 1561387745902234429356 2081850327869645905808 2862544200820763120486 3122775491804468858712 4163700655739291811616 4293816301231144680729 5725088401641526240972 6245550983608937717424 8587632602462289361458 11450176803283052481944 12491101967217875434848 17175265204924578722916 22900353606566104963888 34350530409849157445832 45800707213132209927776 68701060819698314891664 137402121639396629783328
- Sum of all divisors σ(n): 394552130706207639244800
- Sum of proper divisors (its aliquot sum) s(n): 257150009066811009461472
- 137402121639396629783328 is an abundant number, because the sum of its proper divisors (257150009066811009461472) is greater than itself. Its abundance is 119747887427414379678144
Bases of 137402121639396629783328
- Binary: 111010001100010010101011111010000101101100100000000010111011110100011001000002
- Hexadecimal: 0x1D18957D0B640177A320
- Base-36: MDHOWK84IT1ZJMO
Squares and roots of 137402121639396629783328
- 137402121639396629783328 squared (1374021216393966297833282) is 18879343031007547593790125455654206816226755584
- 137402121639396629783328 cubed (1374021216393966297833283) is 2594061787618394112944796089282527250503033655081102200957798334103552
-
The
square root of 137402121639396629783328 is 370677921704.8091600343 -
The
cube root of 137402121639396629783328 is 51601755.8492756073
Scales and comparisons
How big is 137402121639396629783328?- 137,402,121,639,396,629,783,328 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,402,121,639,396,629,783,328 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137402121639396629783328 cubic inches would be around 4300146.3 feet tall.
Recreational maths with 137402121639396629783328
- 137402121639396629783328 backwards is 823387926693936121204731
- The number of decimal digits it has is: 24
- The sum of 137402121639396629783328's digits is 105
- More coming soon!
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The information we have on file for 137402121639396629783328 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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