138290376946176
138,290,376,946,176 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138290376946176 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
138290376946176 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138290376946176:
29 × 32 × 7 × 13 × 192 × 653 × 1399
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 19 × 19 × 653 × 1399)See below for interesting mathematical facts about the number 138290376946176 from the Numbermatics database.
Names of 138290376946176
- Cardinal: 138290376946176 can be written as One hundred thirty-eight trillion, two hundred ninety billion, three hundred seventy-six million, nine hundred forty-six thousand, one hundred seventy-six.
Scientific notation
- Scientific notation: 1.38290376946176 × 1014
Factors of 138290376946176
Divisors of 138290376946176
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 28 32 36 38 39 42 48 52 56 57 63 64 72 76 78 84 91 96 104 112 114 117 126 128 133 144 152 156 168 171 182 192 208 224 228 234 247 252 256 266 273 288 304 312 336 342 361 364 384 399 416 448 456 468 494 504 512 532 546 576 608 624 653 672 684 722 728 741 768 798 819 832 896 912 936 988 1008 1064 1083 1092 1152 1197 1216 1248 1306 1344 1368 1399 1444 1456 1482 1536 1596 1638 1664 1729 1792 1824 1872 1959 1976 2016 2128 2166 2184 2223 2304 2394 2432 2496 2527 2612 2688 2736 2798 2888 2912 2964 3192 3249 3276 3328 3458 3584 3648 3744 3918 3952 4032 4197 4256 4332 4368 4446 4571 4608 4693 4788 4864 4992 5054 5187 5224 5376 5472 5596 5776 5824 5877 5928 6384 6498 6552 6656 6916 7296 7488 7581 7836 7904 8064 8394 8489 8512 8664 8736 8892 9142 9386 9576 9728 9793 9984 10108 10374 10448 10752 10944 11192 11552 11648 11754 11856 12407 12591 12768 12996 13104 13713 13832 14079 14592 14976 15162 15561 15672 15808 16128 16788 16978 17024 17328 17472 17784 18187 18284 18772 19152 19586 19968 20216 20748 20896 21888 22384 22743 23104 23296 23508 23712 24814 25182 25467 25536 25992 26208 26581 27426 27664 28158 29184 29379 29952 30324 31122 31344 31616 32256 32851 33576 33956 34048 34656 34944 35568 36374 36568 37221 37544 38304 39172 40432 41139 41496 41792 42237 43776 44768 45486 46208 46592 47016 47424 49628 50364 50934 51072 51984 52416 53162 54561 54852 55328 56316 58758 59423 59904 60648 62244 62688 63232 65702 67152 67912 68096 69312 69888 71136 72748 73136 74442 75088 76401 76608 78344 79743 80864 82278 82992 83584 84474 86849 87552 88137 89536 90972 92416 94032 94848 98553 99256 100728 101868 102144 103968 104832 106324 109122 109704 110656 111663 112632 117516 118846 121296 124488 125376 126464 127309 131404 134304 135824 138624 139776 142272 145496 146272 148884 150176 152802 153216 156688 159486 161291 161728 163683 164556 165984 167168 168948 173698 176274 178269 179072 181944 184832 186067 188064 189696 197106 198512 201456 203736 204288 207936 209664 212648 218244 219408 221312 223326 225264 235032 235733 237692 239229 242592 248976 250752 254618 260547 262808 268608 271648 277248 284544 290992 292544 295659 297768 300352 305604 306432 313376 318972 322582 323456 327366 329112 331968 334336 337896 345553 347396 352548 356538 358144 363888 372134 376128 379392 381927 394212 397024 402912 407472 415872 419328 425296 436488 438816 442624 446652 450528 470064 471466 475384 478458 483873 485184 497952 501504 505039 509236 521094 525616 534807 537216 543296 554496 558201 569088 581984 585088 591318 595536 600704 611208 612864 626752 637944 645164 646912 654732 658224 663936 675792 691106 694792 705096 707199 713076 716288 727776 744268 752256 763854 781641 788424 794048 805824 814944 831744 850592 872976 877632 885248 893304 901056 913547 940128 942932 950768 956916 967746 970368 995904 1003008 1010078 1018472 1036659 1042188 1051232 1069614 1074432 1086592 1116402 1129037 1138176 1145781 1163968 1170176 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840384896 844867072 855079992 857396736 867100416 882584352 902584436 905029888 920855376 928846464 945433008 950475456 972014008 989371401 997593324 1018158624 1029681744 1052406144 1086257664 1093515759 1103005176 1110873152 1140106656 1163609856 1176779136 1227807168 1238461952 1249732296 1260577344 1267300608 1300650624 1319161868 1330124432 1353876654 1357544832 1372908992 1393269696 1403208192 1458021012 1470673568 1496389986 1520142208 1544522616 1569038848 1579522763 1592308224 1637076224 1654507764 1666309728 1680769792 1710159984 1734200832 1765168704 1805168872 1810059776 1841710752 1857692928 1890866016 1900950912 1944028016 1978742802 1995186648 2030814981 2036317248 2059363488 2104812288 2187031518 2206010352 2221746304 2280213312 2308533269 2327219712 2353558272 2455614336 2499464592 2521154688 2534601216 2601301248 2638323736 2660248864 2707753308 2715089664 2745817984 2786539392 2916042024 2941347136 2968114203 2992779972 3040284416 3089045232 3159045526 3274152448 3309015528 3332619456 3361539584 3420319968 3530337408 3610337744 3683421504 3715385856 3781732032 3801901824 3888056032 3957485604 3990373296 4061629962 4072634496 4118726976 4209624576 4287276071 4374063036 4412020704 4443492608 4560426624 4617066538 4707116544 4738568289 4911228672 4998929184 5042309376 5202602496 5276647472 5320497728 5415506616 5430179328 5491635968 5573078784 5832084048 5882694272 5936228406 5985559944 6080568832 6178090464 6318091052 6618031056 6665238912 6840639936 6925599807 7060674816 7220675488 7366843008 7563464064 7603803648 7776112064 7914971208 7980746592 8123259924 8145268992 8237453952 8574552142 8748126072 8824041408 8886985216 9120853248 9234133076 9477136578 9822457344 9997858368 10084618752 10553294944 10640995456 10831013232 10983271936 11146157568 11664168096 11765388544 11872456812 11971119888 12356180928 12636182104 12861828213 13236062112 13330477824 13681279872 13851199614 14121349632 14215704867 14441350976 14733686016 15126928128 15552224128 15829942416 15961493184 16246519848 16290537984 16474907904 17149104284 17496252144 17648082816 18241706496 18468266152 18954273156 19995716736 20776799421 21106589888 21281990912 21662026464 23328336192 23530777088 23744913624 23942239776 24712361856 25272364208 25723656426 26472124224 26660955648 27362559744 27702399228 28431409734 28882701952 29467372032 30010932497 30253856256 31104448256 31659884832 31922986368 32493039696 32949815808 34298208568 34992504288 35296165632 36936532304 37908546312 38585484639 39991433472 41553598842 42213179776 42563981824 43324052928 46656672384 47489827248 47884479552 49424723712 50544728416 51447312852 52944248448 54725119488 55404798456 56862819468 57765403904 60021864994 62208896512 63319769664 63845972736 64986079392 68596417136 69985008576 70592331264 73873064608 75817092624 77170969278 79982866944 83107197684 84426359552 86648105856 90032797491 93313344768 94979654496 95768959104 98849447424 101089456832 102894625704 105888496896 110809596912 113725638936 115530807808 120043729988 126639539328 127691945472 129972158784 137192834272 139970017152 147746129216 151634185248 154341938556 166214395368 168852719104 173296211712 180065594982 186626689536 189959308992 191537918208 202178913664 205789251408 211776993792 221619193824 227451277872 240087459976 253279078656 259944317568 270098392473 274385668544 279940034304 295492258432 303268370496 308683877112 332428790736 346592423424 360131189964 379918617984 383075836416 404357827328 411578502816 443238387648 454902555744 480174919952 506558157312 519888635136 540196784946 548771337088 559880068608 590984516864 606536740992 617367754224 664857581472 720262379928 759837235968 808715654656 823157005632 886476775296 909805111488 960349839904 1039777270272 1080393569892 1097542674176 1181969033728 1213073481984 1234735508448 1329715162944 1440524759856 1519674471936 1646314011264 1772953550592 1819610222976 1920699679808 2160787139784 2195085348352 2426146963968 2469471016896 2659430325888 2881049519712 3292628022528 3545907101184 3639220445952 3841399359616 4321574279568 4938942033792 5318860651776 5762099039424 6585256045056 7278440891904 7682798719232 8643148559136 9877884067584 10637721303552 11524198078848 15365597438464 17286297118272 19755768135168 23048396157696 34572594236544 46096792315392 69145188473088 138290376946176
- Sum of all divisors σ(n): 519598356076800
- Sum of proper divisors (its aliquot sum) s(n): 381307979130624
- 138290376946176 is an abundant number, because the sum of its proper divisors (381307979130624) is greater than itself. Its abundance is 243017602184448
Bases of 138290376946176
- Binary: 111110111000110001111001100101100110010000000002
- Hexadecimal: 0x7DC63CCB3200
- Base-36: 1D0PPZVR40
Squares and roots of 138290376946176
- 138290376946176 squared (1382903769461762) is 19124228355915446499601022976
- 138290376946176 cubed (1382903769461763) is 2644696748144294809524362824542176491339776
-
The
square root of 138290376946176 is 11759692.8933614589 -
The
cube root of 138290376946176 is 51712.7126915085
Scales and comparisons
How big is 138290376946176?- 138,290,376,946,176 seconds is equal to 4,397,206 years, 11 weeks, 5 days, 12 hours, 9 minutes, 36 seconds.
-
To count from 1 to 138,290,376,946,176 would take you about ten million, nine hundred ninety-three thousand and fifteen 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 138290376946176 cubic inches would be around 4309.4 feet tall.
Recreational maths with 138290376946176
- 138290376946176 backwards is 671649673092831
- 138290376946176 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138290376946176's digits is 72
- More coming soon!
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"Number 138290376946176 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 138290376946176 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/138290376946176/
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The information we have on file for 138290376946176 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!
Keywords: Divisors of 138290376946176, math, Factors of 138290376946176, curriculum, school, college, exams, university, Prime factorization of 138290376946176, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred ninety billion, three hundred seventy-six million, nine hundred forty-six thousand, one hundred seventy-six.