138137842752
138,137,842,752 is an even composite number composed of seven prime numbers multiplied together.
138137842752 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138137842752:
26 × 3 × 72 × 13 × 17 × 292 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 17 × 29 × 29 × 79)See below for interesting mathematical facts about the number 138137842752 from the Numbermatics database.
Names of 138137842752
- Cardinal: 138137842752 can be written as One hundred thirty-eight billion, one hundred thirty-seven million, eight hundred forty-two thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 1.38137842752 × 1011
Factors of 138137842752
Divisors of 138137842752
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 29 32 34 39 42 48 49 51 52 56 58 64 68 78 79 84 87 91 96 98 102 104 112 116 119 136 147 156 158 168 174 182 192 196 203 204 208 221 224 232 237 238 272 273 294 312 316 336 348 357 364 377 392 406 408 416 442 448 464 474 476 493 544 546 553 588 609 624 632 637 663 672 696 714 728 754 784 812 816 832 833 841 884 928 948 952 986 1027 1088 1092 1106 1131 1176 1218 1248 1264 1274 1326 1343 1344 1392 1421 1428 1456 1479 1508 1547 1568 1624 1632 1659 1666 1682 1768 1856 1896 1904 1911 1972 2054 2184 2212 2262 2291 2352 2436 2496 2499 2523 2528 2548 2639 2652 2686 2784 2842 2856 2912 2958 3016 3081 3094 3136 3248 3264 3318 3332 3364 3451 3536 3792 3808 3822 3871 3944 4029 4108 4263 4368 4424 4524 4582 4641 4704 4872 4998 5046 5056 5096 5278 5304 5372 5568 5684 5712 5824 5887 5916 6032 6162 6188 6409 6496 6636 6664 6728 6873 6902 7072 7189 7584 7616 7644 7742 7888 7917 8058 8216 8526 8736 8848 9048 9164 9282 9401 9408 9744 9996 10092 10192 10353 10556 10608 10744 10829 10933 11368 11424 11613 11774 11832 12064 12324 12376 12818 12992 13272 13328 13456 13746 13804 14144 14297 14378 15168 15288 15484 15776 15834 16037 16116 16432 17052 17459 17472 17661 17696 18096 18328 18473 18564 18802 19227 19488 19992 20184 20384 20706 21112 21216 21488 21567 21658 21866 22736 22848 23226 23548 23664 24128 24157 24648 24752 25636 26544 26656 26912 27492 27608 28203 28594 28756 29783 30576 30968 31552 31668 32074 32232 32487 32799 32864 34104 34918 35322 35392 36192 36656 36946 37128 37604 38454 38947 38976 39984 40368 40768 41209 41412 42224 42432 42891 42976 43134 43316 43732 44863 45472 46452 47096 47328 48111 48314 49296 49504 50323 51272 52377 53088 53312 53824 54984 55216 55419 56406 57188 57512 59566 61152 61936 63336 64148 64464 64974 65598 65728 65807 66439 68208 69836 70644 72384 72471 73312 73892 74256 75208 76531 76908 77894 79968 80736 82418 82824 84448 85782 85952 86268 86632 87464 89349 89726 90944 92904 94192 94656 96222 96628 98592 99008 100079 100646 102544 104754 106176 109968 110432 110838 112259 112812 114376 115024 116841 119132 122213 122304 123627 123872 126672 128296 128928 129948 131196 131614 132878 134589 136416 139672 141288 144942 146624 147784 148512 150416 150969 153062 153816 155788 159936 161472 164836 165648 168896 171564 172536 173264 174928 178698 179452 185808 185861 188384 192444 193256 197184 197421 199317 200158 201292 205088 208481 209508 219936 220864 221676 224518 225624 228752 229593 230048 233682 238264 244426 247254 247744 253344 256592 257856 259896 262392 263228 265756 269178 272629 272832 279344 282576 289884 295568 297024 300237 300832 301938 306124 307632 311576 314041 329672 331296 336777 343128 345072 346528 349856 357396 358904 366639 371616 371722 376768 384888 386512 394842 398634 400316 402584 410176 416962 419016 439872 443352 449036 451248 457504 459186 460096 465073 467364 476528 488852 494508 506311 506688 513184 519792 524784 526456 531512 535717 538356 545258 557583 558688 565152 579768 591136 600474 601664 603876 612248 615264 623152 625443 628082 659344 662592 673554 686256 690144 693056 699712 700553 714792 717808 733278 743232 743444 769776 773024 789684 797268 800632 805168 817887 833924 838032 855491 863707 886704 898072 902496 915008 918372 930146 934728 942123 953056 977704 989016 1012622 1026368 1039584 1049568 1052912 1063024 1071434 1076712 1090516 1115166 1117376 1129463 1130304 1159536 1182272 1200948 1207752 1224496 1230528 1246304 1250886 1256164 1301027 1318688 1347108 1372512 1380288 1395219 1401106 1429584 1435616 1459367 1466556 1486888 1518933 1539552 1546048 1579368 1594536 1601264 1607151 1610336 1635774 1667848 1676064 1710982 1727414 1773408 1796144 1804992 1836744 1860292 1869456 1884246 1906112 1908403 1955408 1978032 2025244 2079168 2099136 2101659 2105824 2126048 2142868 2153424 2181032 2230332 2258926 2319072 2401896 2415504 2448992 2492608 2501772 2512328 2566473 2591121 2602054 2637376 2694216 2745024 2790438 2802212 2859168 2871232 2918734 2933112 2973776 3037866 3079104 3158736 3189072 3202528 3214302 3220672 3255511 3271548 3335696 3352128 3388389 3421964 3454828 3544177 3546816 3592288 3673488 3720584 3738912 3768492 3816806 3903081 3910816 3956064 4050488 4203318 4211648 4252096 4285736 4306848 4362064 4378101 4460664 4517852 4638144 4803792 4831008 4897984 5003544 5024656 5132946 5182242 5204108 5388432 5580876 5604424 5718336 5725209 5837468 5866224 5947552 6045949 6075732 6317472 6378144 6405056 6428604 6511022 6543096 6671392 6776778 6843928 6909656 7088354 7184576 7346976 7441168 7477824 7536984 7633612 7806162 7821632 7906241 7912128 8100976 8406636 8571472 8613696 8724128 8756202 8921328 9035704 9107189 9607584 9662016 9766533 10007088 10049312 10265892 10364484 10408216 10632531 10776864 11161752 11208848 11450418 11674936 11732448 11895104 12091898 12151464 12634944 12756288 12857208 13022044 13086192 13342784 13553556 13687856 13819312 14176708 14683019 14693952 14882336 15073968 15267224 15612324 15812482 16201952 16813272 17142944 17448256 17512404 17842656 18071408 18137847 18214378 19215168 19533066 20014176 20098624 20531784 20728968 20816432 21265062 21553728 22323504 22417696 22900836 23349872 23464896 23718723 24183796 24302928 24809239 25714416 26044088 26172384 27107112 27321567 27375712 27638624 28353416 29366038 29764672 30147936 30534448 31224648 31624964 32403904 33626544 34285888 35024808 35685312 36142816 36275694 36428756 39066132 40028352 41063568 41457936 41632864 42321643 42530124 44049057 44647008 44835392 45801672 46699744 47437446 48367592 48605856 49618478 51428832 52088176 52344768 54214224 54643134 54751424 55277248 55343687 56706832 58732076 60295872 61068896 62449296 63249928 67253088 70049616 72285632 72551388 72857512 74427717 78132264 82127136 82915872 83265728 84643286 85060248 88098114 89294016 91603344 93399488 94874892 96735184 97211712 99236956 102781133 102857664 104176352 108428448 109286268 110687374 113413664 117464152 122137792 124898592 126499856 126964929 134506176 140099232 145102776 145715024 148855434 156264528 164254272 165831744 166031061 169286572 170120496 176196228 183206688 189749784 193470368 198473912 205562266 208352704 216856896 218572536 221374748 226827328 234928304 249797184 252999712 253929858 280198464 290205552 291430048 297710868 308343399 312529056 332062122 338573144 340240992 352392456 366413376 379499568 386940736 396947824 411124532 437145072 442749496 469856608 505999424 507859716 580411104 582860096 595421736 616686798 625058112 664124244 677146288 680481984 704784912 719467931 758999136 793895648 822249064 874290144 885498992 939713216 1015719432 1160822208 1190843472 1233373596 1328248488 1354292576 1409569824 1438935862 1517998272 1587791296 1644498128 1748580288 1770997984 2031438864 2158403793 2381686944 2466747192 2656496976 2708585152 2819139648 2877871724 3288996256 3541995968 4062877728 4316807586 4763373888 4933494384 5312993952 5755743448 6577992512 8125755456 8633615172 9866988768 10625987904 11511486896 17267230344 19733977536 23022973792 34534460688 46045947584 69068921376 138137842752
- Sum of all divisors σ(n): 508448828160
- Sum of proper divisors (its aliquot sum) s(n): 370310985408
- 138137842752 is an abundant number, because the sum of its proper divisors (370310985408) is greater than itself. Its abundance is 232173142656
Bases of 138137842752
- Binary: 100000001010011010100000110100010000002
- Hexadecimal: 0x2029A83440
- Base-36: 1RGJPDMO
Squares and roots of 138137842752
- 138137842752 squared (1381378427522) is 19082063600176278933504
- 138137842752 cubed (1381378427523) is 2635955100984813818796865816363008
-
The
square root of 138137842752 is 371668.9962210999 -
The
cube root of 138137842752 is 5169.3692667485
Scales and comparisons
How big is 138137842752?- 138,137,842,752 seconds is equal to 4,392 years, 18 weeks, 3 days, 14 hours, 59 minutes, 12 seconds.
-
To count from 1 to 138,137,842,752 would take you about eight thousand, seven hundred eighty-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 138137842752 cubic inches would be around 430.8 feet tall.
Recreational maths with 138137842752
- 138137842752 backwards is 257248731831
- 138137842752 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138137842752's digits is 51
- More coming soon!
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The information we have on file for 138137842752 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 138137842752, math, Factors of 138137842752, curriculum, school, college, exams, university, Prime factorization of 138137842752, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, one hundred thirty-seven million, eight hundred forty-two thousand, seven hundred fifty-two.