138197714520789440
138,197,714,520,789,440 is an even composite number composed of six prime numbers multiplied together.
138197714520789440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred fifty-two divisors.
Prime factorization of 138197714520789440:
26 × 5 × 116 × 173 × 292 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 11 × 11 × 11 × 11 × 17 × 17 × 17 × 29 × 29 × 59)See below for interesting mathematical facts about the number 138197714520789440 from the Numbermatics database.
Names of 138197714520789440
- Cardinal: 138197714520789440 can be written as One hundred thirty-eight quadrillion, one hundred ninety-seven trillion, seven hundred fourteen billion, five hundred twenty million, seven hundred eighty-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3819771452078944 × 1017
Factors of 138197714520789440
Divisors of 138197714520789440
- Number of divisors d(n): 2352
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Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 29 32 34 40 44 55 58 59 64 68 80 85 88 110 116 118 121 136 145 160 170 176 187 220 232 236 242 272 289 290 295 319 320 340 352 374 440 464 472 484 493 544 578 580 590 605 638 649 680 704 748 841 880 928 935 944 968 986 1003 1088 1156 1160 1180 1210 1276 1298 1331 1360 1445 1496 1595 1682 1711 1760 1856 1870 1888 1936 1972 2006 2057 2312 2320 2360 2420 2465 2552 2596 2662 2720 2890 2992 3179 3190 3245 3364 3422 3509 3520 3740 3776 3872 3944 4012 4114 4205 4624 4640 4720 4840 4913 4930 5015 5104 5192 5324 5423 5440 5780 5984 6358 6380 6490 6655 6728 6844 7018 7139 7480 7744 7888 8024 8228 8381 8410 8555 9248 9251 9280 9440 9680 9826 9860 10030 10208 10285 10384 10648 10846 11033 11560 11968 12716 12760 12980 13310 13456 13688 14036 14278 14297 14641 14960 15776 15895 16048 16456 16762 16820 17051 17110 17545 18496 18502 18821 18880 19360 19652 19720 20060 20416 20570 20768 21296 21692 22066 22627 23120 24565 25432 25520 25960 26620 26912 27115 27376 28072 28556 28594 29087 29282 29920 31552 31790 32096 32912 33524 33640 34102 34220 34969 35090 35695 37004 37642 38599 38720 39304 39440 40120 41140 41536 41905 42592 43384 44132 45254 46240 46255 49130 49619 50864 51040 51920 53240 53824 54043 54230 54752 55165 56144 57112 57188 58174 58564 59653 59840 63580 64192 65824 67048 67280 68204 68440 69938 70180 71390 71485 73205 74008 75284 77198 78529 78608 78880 80240 82280 83810 85184 85255 86768 88264 90508 92191 92480 92510 94105 98260 99238 101728 101761 102080 103840 106480 108086 108460 109504 110330 112288 113135 114224 114376 116348 117128 119306 121363 127160 131648 134096 134560 136408 136880 139876 140360 142477 142780 142970 145435 146410 148016 150568 154396 157058 157216 157267 157760 160480 161051 164560 167620 170510 173536 174845 176528 181016 184382 185020 187561 188210 192995 196520 198476 203456 203522 207031 207680 212960 216172 216920 220660 224576 226270 228448 228752 232696 234256 238612 242726 243049 248095 248897 254320 268192 269120 270215 272816 273760 279752 280720 284954 285560 285940 289867 290870 292820 296032 298265 301136 308792 314116 314432 314534 319957 320960 322102 329120 335240 341020 347072 349690 353056 362032 368764 370040 375122 376420 384659 385990 392645 393040 396952 407044 414062 424589 425920 432344 433840 441320 452540 456896 457504 460955 465392 468512 477224 485452 486098 494479 496190 497794 508640 508805 536384 540430 545632 545809 547520 559504 561440 569908 571120 571880 579734 581740 585640 592064 594473 596530 602272 606815 617584 628232 629068 639914 644204 656183 658240 670480 682040 699380 706112 712385 724064 737528 740080 750244 752840 769318 771980 785290 786080 786335 793904 805255 814088 828124 843523 849178 863819 864688 867680 882640 905080 915008 921910 930784 937024 937805 954448 970904 972196 988958 992380 995588 1014101 1017280 1017610 1035155 1080860 1091264 1091618 1119008 1119371 1122880 1139816 1142240 1143760 1159468 1163480 1171280 1188946 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2567585361935 2595749709256 2661743345932 2707635472586 2717004453460 2785177341760 2812898728288 2987735693888 2988704898806 3053823187360 3131462759920 3185453497160 3244687136570 3297881267648 3327179182415 3359205506096 3444609035912 3503998846876 3516123410360 3569155850227 3580344426560 3671370132320 3734669617360 3871626684992 3938378869216 3952006477760 4038507145552 4052481218720 4108136579096 4122351584560 4199006882620 4305761294890 4347207125536 4379998558595 4618907570882 4719544925920 4751184877120 4833101857760 4839533356240 4922973586520 5048133931940 5096725595456 5135170723870 5191499418512 5323486691864 5415270945172 5434008906920 5625797456576 5977409797612 6107646374720 6262925519840 6370906994320 6489374273140 6654358364830 6718411012192 6769088681465 6889218071824 7007997693752 7032246820720 7138311700454 7319794201313 7342740264640 7469339234720 7471762247015 7876757738432 8077014291104 8104962437440 8216273158192 8244703169120 8398013765240 8611522589780 8694414251072 8759997117190 9237815141764 9439089851840 9666203715520 9679066712480 9845947173040 10096267863880 10270341447740 10382998837024 10646973383728 10830541890344 10868017813840 11547268927205 11954819595224 12525851039680 12741813988640 12978748546280 13308716729660 13436822024384 13538177362930 13778436143648 14015995387504 14064493641440 14276623400908 14639588402626 14891995099223 14938678469440 14943524494030 16154028582208 16432546316384 16489406338240 16796027530480 17223045179560 17519994234380 17845779251135 18475630283528 19358133424960 19691894346080 20192535727760 20540682895480 20765997674048 21293946767456 21661083780688 21736035627680 23094537854410 23909639190448 25403991639851 25483627977280 25957497092560 26617433459320 27076354725860 27556872287296 28031990775008 28128987282880 28553246801816 29279176805252 29783990198446 29887048988060 32865092632768 33592055060960 34446090359120 35039988468760 35691558502270 36598971006565 36951260567056 39260714352497 39383788692160 40385071455520 41081365790960 42587893534912 43322167561376 43472071255360 46189075708820 47819278380896 50807983279702 51914994185120 53234866918640 54152709451720 56063981550016 57106493603632 58558353610504 59567980396892 59774097976120 67184110121920 68892180718240 70079976937520 71383117004540 73197942013130 73902521134112 74459975496115 78521428704994 80770142911040 82162731581920 86644335122752 92378151417640 95638556761792 101615966559404 103829988370240 106469733837280 108305418903440 114212987207264 117116707221008 119135960793784 119548195952240 127019958199255 137784361436480 140159953875040 142766234009080 146395884026260 147805042268224 148919950992230 157042857409988 164325463163840 184756302835280 196303571762485 203231933118808 212939467674560 216610837806880 228425974414528 234233414442016 238271921587568 239096391904480 254039916398510 280319907750080 285532468018160 292791768052520 297839901984460 314085714819976 369512605670560 392607143524970 406463866237616 431867857877467 433221675613760 468466828884032 476543843175136 478192783808960 508079832797020 571064936036320 585583536105040 595679803968920 628171429639952 739025211341120 785214287049940 812927732475232 863735715754934 953087686350272 1016159665594040 1142129872072640 1171167072210080 1191359607937840 1256342859279904 1570428574099880 1625855464950464 1727471431509868 2032319331188080 2159339289387335 2342334144420160 2382719215875680 2512685718559808 3140857148199760 3454942863019736 4064638662376160 4318678578774670 4765438431751360 6281714296399520 6909885726039472 8129277324752320 8637357157549340 12563428592799040 13819771452078944 17274714315098680 27639542904157888 34549428630197360 69098857260394720 138197714520789440
- Sum of all divisors σ(n): 405082660388608800
- Sum of proper divisors (its aliquot sum) s(n): 266884945867819360
- 138197714520789440 is an abundant number, because the sum of its proper divisors (266884945867819360) is greater than itself. Its abundance is 128687231347029920
Bases of 138197714520789440
- Binary: 1111010101111101000010110110100101100100001010001110000002
- Hexadecimal: 0x1EAFA16D2C851C0
- Base-36: 11SR01LMFEM8
Squares and roots of 138197714520789440
- 138197714520789440 squared (1381977145207894402) is 19098608298769616437901960815513600
- 138197714520789440 cubed (1381977145207894403) is 2639384017417743525070455174531312203923671056384000
-
The
square root of 138197714520789440 is 371749531.9711773895 -
The
cube root of 138197714520789440 is 517011.5995696303
Scales and comparisons
How big is 138197714520789440?- 138,197,714,520,789,440 seconds is equal to 4,394,259,848 years, 8 weeks, 3 days, 8 hours, 37 minutes, 20 seconds.
-
To count from 1 to 138,197,714,520,789,440 would take you about thirteen billion, one hundred eighty-two million, seven hundred seventy-nine thousand, five hundred forty-four 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 138197714520789440 cubic inches would be around 43084.3 feet tall.
Recreational maths with 138197714520789440
- 138197714520789440 backwards is 044987025417791831
- 138197714520789440 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138197714520789440's digits is 80
- More coming soon!
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"Number 138197714520789440 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 138197714520789440 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/138197714520789440/
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The information we have on file for 138197714520789440 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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