138629972301408
138,629,972,301,408 is an even composite number composed of six prime numbers multiplied together.
138629972301408 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138629972301408:
25 × 32 × 73 × 172 × 313 × 163
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 17 × 17 × 31 × 31 × 31 × 163)See below for interesting mathematical facts about the number 138629972301408 from the Numbermatics database.
Names of 138629972301408
- Cardinal: 138629972301408 can be written as One hundred thirty-eight trillion, six hundred twenty-nine billion, nine hundred seventy-two million, three hundred one thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.38629972301408 × 1014
Factors of 138629972301408
Divisors of 138629972301408
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 31 32 34 36 42 48 49 51 56 62 63 68 72 84 93 96 98 102 112 119 124 126 136 144 147 153 163 168 186 196 204 217 224 238 248 252 272 279 288 289 294 306 326 336 343 357 372 392 408 434 441 476 489 496 504 527 544 558 578 588 612 651 652 672 686 714 744 784 816 833 867 868 882 952 961 978 992 1008 1029 1054 1071 1116 1141 1156 1176 1224 1302 1304 1372 1428 1467 1488 1519 1568 1581 1632 1666 1734 1736 1764 1904 1922 1953 1956 2016 2023 2058 2108 2142 2232 2282 2312 2352 2448 2499 2601 2604 2608 2744 2771 2856 2883 2934 2976 3038 3087 3162 3332 3423 3468 3472 3528 3689 3808 3844 3906 3912 4046 4116 4216 4284 4464 4557 4564 4624 4704 4743 4896 4998 5053 5202 5208 5216 5488 5542 5712 5766 5831 5868 6069 6076 6174 6324 6664 6727 6846 6936 6944 7056 7378 7497 7688 7812 7824 7987 8092 8232 8313 8432 8568 8649 8928 8959 9114 9128 9248 9486 9996 10106 10269 10404 10416 10633 10976 11067 11084 11424 11532 11662 11736 12138 12152 12348 12648 13328 13454 13671 13692 13872 14112 14161 14756 14994 15159 15376 15624 15648 15974 16184 16337 16464 16626 16864 17136 17298 17493 17918 18207 18228 18256 18972 19397 19992 20181 20212 20538 20808 20832 21266 22134 22168 23064 23324 23472 23961 24276 24304 24696 24939 25296 25823 26656 26877 26908 27342 27384 27744 28322 29512 29791 29988 30318 30752 31248 31899 31948 32368 32674 32928 33201 33252 34272 34596 34986 35371 35836 36414 36456 36512 37944 38794 39984 40362 40424 41076 41616 42483 42532 44268 44336 45477 46128 46648 46944 47089 47107 47922 48552 48608 49011 49392 49878 50592 51646 52479 53754 53816 54684 54768 55909 56644 58191 59024 59582 59976 60543 60636 62496 62713 63798 63896 64736 65348 66402 66504 69192 69972 70742 71672 71883 72828 72912 75888 77469 77588 79968 80631 80724 80848 82152 83232 84966 85064 85901 88536 88672 89373 90954 92256 93296 94178 94214 95697 95844 97104 98022 98784 99127 99756 103292 104958 106113 107508 107632 109368 109536 111818 113288 114359 116382 118048 119164 119952 121086 121272 125426 127449 127596 127792 130696 132804 133008 135779 138384 139944 141267 141321 141484 143344 143766 145656 145824 147033 151776 154938 155176 156643 161262 161448 161696 164304 167727 169932 170128 171802 174573 177072 178746 180761 181908 186592 188139 188356 188428 191394 191688 194208 196044 198254 199512 206584 208537 209916 212226 215016 215264 218736 223636 226576 228718 232407 232764 238328 239904 242172 242544 247597 250852 254898 255192 255584 257703 261392 265608 266016 268119 271558 276768 277729 279888 282534 282642 282968 286688 287532 291312 294066 297381 309876 310352 313286 318339 322524 322896 328608 329623 329749 335454 339864 340256 343077 343604 349146 354144 357492 361522 363816 376278 376712 376856 382788 383376 392088 396508 399024 407337 413168 417074 419832 423801 423963 424452 430032 437472 438991 447272 453152 457436 464814 465528 469929 476656 484344 485088 495194 501704 503181 506447 509796 510384 515406 522784 531216 536238 542283 543116 555458 559776 564417 565068 565284 565936 575064 582624 588132 594762 601307 619752 620704 625611 626572 636678 645048 645792 659246 659498 670908 679728 686154 687208 698292 714984 723044 727632 742791 752556 753424 753712 765576 766752 773109 784176 793016 798048 800513 814674 826336 833187 834148 839664 847602 847926 848904 860064 877982 892143 894544 914872 929628 931056 939858 950453 953312 968688 988869 989247 990388 1003408 1006362 1012894 1019592 1020768 1029231 1030812 1062432 1072476 1084566 1086232 1096501 1110916 1128834 1130136 1130568 1131872 1150128 1176264 1189524 1202614 1222011 1239504 1251222 1253144 1273356 1290096 1316973 1318492 1318996 1341816 1359456 1372308 1374416 1396584 1409787 1429968 1446088 1455264 1459759 1460317 1485582 1505112 1506848 1507424 1519341 1531152 1546218 1568352 1586032 1601026 1626849 1629348 1666374 1668296 1679328 1695204 1695852 1697808 1733179 1755964 1784286 1789088 1803921 1829744 1859256 1862112 1876833 1879716 1900906 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332386992 335529306 340332384 347422642 349627176 353568516 361603158 362158616 367859268 367999884 368424336 381044188 383462064 387784824 391450857 397054448 403458552 404078304 407428443 407898372 413260752 420410592 420571296 421870351 429333198 429828392 435479072 442502928 446686254 447372408 466169568 471424688 475881434 482137544 483556941 489913956 490479024 490666512 495305166 499155552 500888731 510498576 517046432 521133963 521934476 530352774 537944736 542404737 543237924 543864496 552636504 559901664 571566282 572444264 577856027 581677236 595581672 596496544 606117456 611847558 619891128 633777578 643999797 644742588 653218608 660406888 664773984 671058612 694845284 699254352 707137032 713822151 723206316 724317232 735718536 735999768 736848672 742957749 762088376 766924128 775569648 782901714 794108896 806917104 814856886 815796744 826521504 843740702 857349423 858666396 859656784 885005856 893372508 894744816 913385333 942849376 950666367 951762868 964275088 967113882 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46582651983 47249479312 48085318176 48539906268 50028860448 50521126932 53155664226 53237316552 53298720608 55474178592 56629890646 58941314754 59961060684 60749330544 62110202644 64719875024 65763743976 67361502576 68526926496 68764867213 70874218968 70983088736 72127977264 72809859402 78588419672 79855974828 79948080912 83211267888 84944835969 87684991968 88411972131 91263971232 93165303966 94498958624 97079812536 101042253864 106311328452 106474633104 113259781292 117882629508 119922121368 121498661088 124220405288 129439750048 131527487952 134723005152 137529734426 139747955949 141748437936 144255954528 145619718804 157176839344 159711949656 159896161824 166422535776 169889671938 176823944262 186330607932 194159625072 202084507728 206294601639 212622656904 212949266208 226519562584 235765259016 239844242736 248440810576 254834507907 263054975904 275059468852 279495911898 283496875872 291239437608 314353678688 319423899312 339779343876 353647888524 372661215864 388319250144 404169015456 412589203278 425245313808 453039125168 471530518032 479688485472 481354070491 496881621152 509669015814 550118937704 558991823796 582478875216 618883804917 638847798624 679558687752 707295777048 745322431728 825178406556 850490627616 906078250336 943061036064 962708140982 1019338031628 1100237875408 1117983647592 1164957750432 1237767609834 1359117375504 1414591554096 1444062211473 1490644863456 1650356813112 1925416281964 2038676063256 2200475750816 2235967295184 2475535219668 2718234751008 2829183108192 2888124422946 3300713626224 3850832563928 4077352126512 4332186634419 4471934590368 4951070439336 5776248845892 6601427252448 7701665127856 8154704253024 8664373268838 9902140878672 11552497691784 15403330255712 17328746537676 19804281757344 23104995383568 34657493075352 46209990767136 69314986150704 138629972301408
- Sum of all divisors σ(n): 507751443763200
- Sum of proper divisors (its aliquot sum) s(n): 369121471461792
- 138629972301408 is an abundant number, because the sum of its proper divisors (369121471461792) is greater than itself. Its abundance is 230491499160384
Bases of 138629972301408
- Binary: 111111000010101010011100100000100010110011000002
- Hexadecimal: 0x7E154E411660
- Base-36: 1D51QA6S80
Squares and roots of 138629972301408
- 138629972301408 squared (1386299723014082) is 19218269220289149291998782464
- 138629972301408 cubed (1386299723014083) is 2664228129689686687402522946821180032909312
-
The
square root of 138629972301408 is 11774122.9950008591 -
The
cube root of 138629972301408 is 51755.0078533555
Scales and comparisons
How big is 138629972301408?- 138,629,972,301,408 seconds is equal to 4,408,004 years, 16 weeks, 7 hours, 16 minutes, 48 seconds.
-
To count from 1 to 138,629,972,301,408 would take you about eleven million, twenty thousand and ten 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 138629972301408 cubic inches would be around 4312.9 feet tall.
Recreational maths with 138629972301408
- 138629972301408 backwards is 804103279926831
- 138629972301408 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138629972301408's digits is 63
- More coming soon!
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"Number 138629972301408 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 138629972301408 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138629972301408/
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The information we have on file for 138629972301408 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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