138351797998855474176
138,351,797,998,855,474,176 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138351797998855474176 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1584 divisors.
138351797998855474176 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 138351797998855474176:
210 × 32 × 112 × 13 × 23 × 79 × 5252410871
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 13 × 23 × 79 × 5252410871)See below for interesting mathematical facts about the number 138351797998855474176 from the Numbermatics database.
Names of 138351797998855474176
- Cardinal: 138351797998855474176 can be written as One hundred thirty-eight quintillion, three hundred fifty-one quadrillion, seven hundred ninety-seven trillion, nine hundred ninety-eight billion, eight hundred fifty-five million, four hundred seventy-four thousand, one hundred seventy-six.
Scientific notation
- Scientific notation: 1.38351797998855474176 × 1020
Factors of 138351797998855474176
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 5252411002
Divisors of 138351797998855474176
- Number of divisors d(n): 1584
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 23 24 26 32 33 36 39 44 46 48 52 64 66 69 72 78 79 88 92 96 99 104 117 121 128 132 138 143 144 156 158 176 184 192 198 207 208 234 237 242 253 256 264 276 286 288 299 312 316 352 363 368 384 396 414 416 429 468 474 484 506 512 528 552 572 576 598 624 632 704 711 726 736 759 768 792 828 832 858 869 897 936 948 968 1012 1024 1027 1056 1089 1104 1144 1152 1196 1248 1264 1287 1408 1422 1452 1472 1518 1536 1573 1584 1656 1664 1716 1738 1794 1817 1872 1896 1936 2024 2054 2112 2178 2208 2277 2288 2304 2392 2496 2528 2574 2607 2691 2783 2816 2844 2904 2944 3036 3072 3081 3146 3168 3289 3312 3328 3432 3476 3588 3634 3744 3792 3872 4048 4108 4224 4356 4416 4554 4576 4608 4719 4784 4992 5056 5148 5214 5382 5451 5566 5632 5688 5808 5888 6072 6162 6292 6336 6578 6624 6656 6864 6952 7176 7268 7488 7584 7744 7821 8096 8216 8349 8448 8712 8832 9108 9152 9216 9243 9438 9559 9568 9867 9984 10112 10296 10428 10764 10902 11132 11264 11297 11376 11616 11776 12144 12324 12584 12672 13156 13248 13312 13728 13904 14157 14352 14536 14976 15168 15488 15642 16192 16353 16432 16698 16896 17424 17664 18216 18304 18486 18876 19118 19136 19734 19968 19987 20224 20592 20856 21528 21804 22264 22594 22752 23232 23552 23621 24288 24648 25047 25168 25344 26312 26496 27456 27808 28314 28677 28704 29072 29601 29952 30336 30976 31284 32384 32706 32864 33396 33792 33891 34848 35328 36179 36432 36608 36972 37752 38236 38272 39468 39936 39974 40448 41184 41712 43056 43608 44528 45188 45504 46464 47242 48576 49296 50094 50336 50688 52624 52992 54912 55616 56628 57354 57408 58144 59202 59904 59961 60672 61952 62568 64768 65412 65728 66792 67782 69696 70656 70863 72358 72864 73216 73944 75504 76472 76544 78936 79948 80896 82368 83424 86031 86112 87216 89056 90376 91008 92928 94484 97152 98592 100188 100672 101376 101673 105248 105984 108537 109824 111232 113256 114708 114816 116288 118404 119808 119922 121344 123904 124267 125136 129536 130824 131456 133584 135564 139392 141726 144716 145728 146432 147888 151008 152944 153088 157872 159896 164736 166848 172062 172224 174432 178112 179883 180752 182016 185856 188968 194304 197184 200376 201344 203346 210496 211968 212589 217074 219648 219857 222464 226512 229416 229632 232576 236808 239844 242688 248534 250272 259072 259831 261648 262912 267168 271128 278784 283452 289432 291456 295776 302016 305888 306176 315744 319792 325611 329472 333696 344124 344448 348864 356224 359766 361504 364032 371712 372801 377936 388608 394368 400752 402688 406692 420992 425178 434148 439296 439714 444928 453024 458832 459264 465152 473616 479688 497068 500544 519662 523296 525824 534336 542256 557568 566904 578864 582912 591552 604032 611776 631488 639584 651222 658944 659571 667392 688248 688896 697728 712448 719532 723008 728064 745602 755872 777216 779493 788736 801504 805376 813384 841984 850356 868296 879428 889856 906048 917664 918528 930304 947232 959376 994136 1001088 1039324 1046592 1051648 1068672 1084512 1115136 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3742069620222208 3779277698832372 3797535079019968 3824091268383744 3916208050239342 3970150309884512 4082257767515136 4094217507068403 4142765540749056 4209828322749984 4230165657642496 4272226963897464 4422445914808064 4466419098620076 4560647349645816 4619117187461788 4673889328024576 4758936364847808 4819948369525344 4824486452517888 4886338842934784 4975251654159072 5039036931776496 5221610733652456 5258125494027648 5458956676091204 5497131198301632 5523687387665408 5613104430333312 5696302618529952 5857152449043456 5874312075359013 5955225464826768 6080863132861088 6123386651272704 6214148311123584 6345248486463744 6426597826033792 6633668872212096 6718715909035328 6840971024468724 6922089257960448 6928675781192682 7010833992036864 7229922554288016 7236729678776832 7329508264402176 7484139240444416 7558555397664744 7595070158039936 7832416100478684 7940300619769024 8188435014136806 8285531081498112 8419656645499968 8460331315284992 8544453927794928 8844891829616128 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23497248301436052 23820901859307072 24323452531444352 24565305042410418 24856593244494336 25380993945854976 25706391304135168 26534675488848384 26874863636141312 27363884097874896 27714703124770728 28919690217152064 29318033057608704 30024261718501622 30234221590658976 30380280632159744 31329664401914736 31761202479076096 32753740056547224 33678626581999872 34177815711179712 35731352788960608 36485178797166528 36952937499694304 38071490918782464 38559586956202752 39802013233272576 40312295454211968 41572054687156092 41772885869219648 42065003952221184 43671653408729632 43977049586413056 44904835442666496 45036392577752433 45570420948239616 46994496602872104 47641803718614144 48646905062888704 49130610084820836 49713186488988672 51412782608270336 53069350977696768 53749727272282624 54727768195749792 55429406249541456 57839380434304128 60048523437003244 60468443181317952 60760561264319488 62659328803829472 63522404958152192 65507480113094448 67357253163999744 68355631422359424 71462705577921216 72970357594333056 73905874999388608 76142981837564928 77119173912405504 79604026466545152 80624590908423936 83144109374312184 83545771738439296 87343306817459264 87954099172826112 90072785155504866 91140841896479232 93988993205744208 95283607437228288 97293810125777408 98261220169641672 107499454544565248 109455536391499584 110858812499082912 115678760868608256 120097046874006488 120936886362635904 125318657607658944 127044809916304384 131014960226188896 134714506327999488 135109177733257299 136711262844718848 142925411155842432 145940715188666112 147811749998777216 154238347824811008 159208052933090304 161249181816847872 166288218748624368 167091543476878592 174686613634918528 180145570311009732 182281683792958464 187977986411488416 190567214874456576 194587620251554816 196522440339283344 218911072782999168 221717624998165824 231357521737216512 240194093748012976 241873772725271808 250637315215317888 262029920452377792 270218355466514598 273422525689437696 285850822311684864 291881430377332224 295623499997554432 322498363633695744 332576437497248736 334183086953757184 349373227269837056 360291140622019464 375955972822976832 381134429748913152 393044880678566688 437822145565998336 443435249996331648 462715043474433024 480388187496025952 483747545450543616 501274630430635776 524059840904755584 540436710933029196 546845051378875392 571701644623369728 583762860754664448 591246999995108864 665152874994497472 668366173907514368 698746454539674112 720582281244038928 751911945645953664 786089761357133376 875644291131996672 886870499992663296 960776374992051904 967495090901087232 1002549260861271552 1048119681809511168 1080873421866058392 1143403289246739456 1182493999990217728 1330305749988994944 1397492909079348224 1441164562488077856 1503823891291907328 1572179522714266752 1751288582263993344 1773740999985326592 1921552749984103808 2005098521722543104 2096239363619022336 2161746843732116784 2660611499977989888 2882329124976155712 3007647782583814656 3144359045428533504 3547481999970653184 3843105499968207616 4192478727238044672 4323493687464233568 5321222999955979776 5764658249952311424 6015295565167629312 6288718090857067008 7686210999936415232 8646987374928467136 10642445999911959552 11529316499904622848 12577436181714134016 15372421999872830464 17293974749856934272 23058632999809245696 34587949499713868544 46117265999618491392 69175898999427737088 138351797998855474176
- Sum of all divisors σ(n): 499690153806609991680
- Sum of proper divisors (its aliquot sum) s(n): 361338355807754517504
- 138351797998855474176 is an abundant number, because the sum of its proper divisors (361338355807754517504) is greater than itself. Its abundance is 222986557808899043328
Bases of 138351797998855474176
- Binary: 11110000000000001000101001101000010101111100110000101001100000000002
- Hexadecimal: 0x780045342BE614C00
- Base-36: T74R79P9IY9S0
Squares and roots of 138351797998855474176
- 138351797998855474176 squared (1383517979988554741762) is 19141220009516109588785646835361802878976
- 138351797998855474176 cubed (1383517979988554741763) is 2648222204208223250969778163096936215224290539069814421323776
-
The
square root of 138351797998855474176 is 11762304110.9663320155 -
The
cube root of 138351797998855474176 is 5172036.7548381883
Scales and comparisons
How big is 138351797998855474176?- 138,351,797,998,855,474,176 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 138,351,797,998,855,474,176 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 138351797998855474176 cubic inches would be around 431003.1 feet tall.
Recreational maths with 138351797998855474176
- 138351797998855474176 backwards is 671474558899797153831
- 138351797998855474176 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138351797998855474176's digits is 117
- More coming soon!
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The information we have on file for 138351797998855474176 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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