138348668300544
138,348,668,300,544 is an even composite number composed of six prime numbers multiplied together.
138348668300544 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 138348668300544:
28 × 34 × 132 × 232 × 37 × 2017
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 13 × 23 × 23 × 37 × 2017)See below for interesting mathematical facts about the number 138348668300544 from the Numbermatics database.
Names of 138348668300544
- Cardinal: 138348668300544 can be written as One hundred thirty-eight trillion, three hundred forty-eight billion, six hundred sixty-eight million, three hundred thousand, five hundred forty-four.
Scientific notation
- Scientific notation: 1.38348668300544 × 1014
Factors of 138348668300544
Divisors of 138348668300544
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 32 36 37 39 46 48 52 54 64 69 72 74 78 81 92 96 104 108 111 117 128 138 144 148 156 162 169 184 192 207 208 216 222 234 256 276 288 296 299 312 324 333 338 351 368 384 414 416 432 444 468 481 507 529 552 576 592 598 621 624 648 666 676 702 736 768 828 832 851 864 888 897 936 962 999 1014 1053 1058 1104 1152 1184 1196 1242 1248 1296 1332 1352 1404 1443 1472 1521 1587 1656 1664 1702 1728 1776 1794 1863 1872 1924 1998 2017 2028 2106 2116 2208 2304 2368 2392 2484 2496 2553 2592 2664 2691 2704 2808 2886 2944 2997 3042 3174 3312 3328 3404 3456 3552 3588 3726 3744 3848 3887 3996 4034 4056 4212 4232 4329 4416 4563 4736 4761 4784 4968 4992 5106 5184 5328 5382 5408 5616 5772 5888 5994 6051 6084 6253 6348 6624 6808 6877 6912 7104 7176 7452 7488 7659 7696 7774 7992 8068 8073 8112 8424 8464 8658 8832 9126 9472 9522 9568 9936 9984 10212 10368 10656 10764 10816 11063 11232 11544 11661 11988 12102 12168 12506 12696 12987 13248 13616 13689 13754 14208 14283 14352 14904 14976 15318 15392 15548 15984 16136 16146 16224 16848 16928 17316 17664 18153 18252 18759 19044 19136 19573 19872 20424 20631 20736 21312 21528 21632 22126 22464 22977 23088 23322 23976 24204 24219 24336 25012 25392 25974 26221 26496 27232 27378 27508 28416 28566 28704 29808 29952 30636 30784 31096 31968 32272 32292 32448 33189 33696 33856 34632 34983 36306 36504 37518 38088 38272 38961 39146 39744 40848 41262 42624 42849 43056 43264 44252 44928 45954 46176 46391 46644 47952 48408 48438 48672 50024 50784 51948 52442 52992 54459 54464 54756 55016 56277 57132 57408 58719 59616 61272 61568 61893 62192 63936 64544 64584 64896 66378 67392 67712 68931 69264 69966 72612 73008 74629 75036 76176 76544 77922 78292 78663 79488 81696 82524 85248 85698 86112 88504 89401 89856 91908 92352 92782 93288 95904 96816 96876 97344 99567 100048 101568 103896 104884 104949 108918 108928 109512 110032 112554 114264 114816 117438 119232 122544 123136 123786 124384 127872 129088 129168 129792 132756 134784 135424 137862 138528 139173 139932 143819 145224 146016 149258 150072 152352 155844 156584 157326 158976 163377 163392 165048 168831 171396 172224 176157 177008 178802 183816 184704 185564 185679 186576 191808 193632 193752 194688 199134 200096 203136 207792 209768 209898 217836 217856 219024 220064 223887 225108 228528 229632 234876 235989 238464 245088 247572 248768 254449 255744 258176 258336 265512 268203 269568 275724 277056 278346 279864 287638 290448 292032 298516 298701 300144 304704 311688 313168 314652 314847 326754 326784 330096 337662 340873 342792 344448 352314 354016 357604 367632 369408 371128 371358 373152 383616 387264 387504 389376 398268 400192 406272 415584 417519 419536 419796 431457 435672 438048 440128 447774 450216 457056 469752 471978 476928 490176 495144 497536 506493 508898 516352 516672 528471 531024 536406 551448 554112 556692 557037 559728 575276 580896 584064 597032 597402 600288 603083 609408 623376 626336 629304 629694 653508 653568 660192 671661 675324 681746 685584 688896 704628 707967 708032 715208 735264 742256 742716 746304 763347 767232 774528 775008 796536 800384 804609 831168 835038 839072 839592 862914 871344 876096 880256 895548 896103 900432 914112 939504 943956 970177 980352 990288 995072 1012986 1017796 1022619 1033344 1056942 1062048 1066993 1072812 1102896 1108224 1113384 1114074 1119456 1150552 1161792 1168128 1194064 1194804 1200576 1206166 1218816 1246752 1252557 1252672 1258608 1259388 1294371 1307016 1320384 1343322 1350648 1363492 1371168 1409256 1415934 1416064 1430416 1470528 1484512 1485432 1492608 1526694 1549056 1550016 1585413 1593072 1600768 1609218 1662336 1670076 1678144 1679184 1716467 1725828 1742688 1752192 1760512 1791096 1792206 1800864 1809249 1828224 1879008 1887912 1940354 1960704 1980576 2014983 2025972 2035592 2045238 2066688 2113884 2123901 2124096 2133986 2145624 2205792 2226768 2228148 2238912 2290041 2301104 2323584 2388128 2389608 2401152 2412332 2413827 2493504 2505114 2505344 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35953396128 36952101576 37130614144 38558714688 38949512472 40031443374 40642969536 41571114273 41771940912 43588112256 45479509632 46162385152 46993433526 47937861504 49269468768 51164448336 51411619584 51932683296 53375257832 54190626048 55428152364 55695921216 57838072032 58424268708 60047165061 62657911368 65382168384 65692625024 68219264448 68591308032 69243577728 71906792256 73904203152 74261228288 77117429376 77899024944 80062886748 81285939072 83142228546 83543881824 87176224512 90959019264 93986867052 95875723008 98538937536 102328896672 103865366592 106750515664 110856304728 111391842432 115676144064 116848537416 120094330122 125315822736 130764336768 131385250048 136438528896 138487155456 143813584512 147808406304 154234858752 155798049888 160125773496 162571878144 166284457092 167087763648 180141495183 187973734104 197077875072 204657793344 207730733184 213501031328 221712609456 222783684864 231352288128 233697074832 240188660244 250631645472 261528673536 272877057792 287627169024 295616812608 311596099776 320251546992 332568914184 334175527296 360282990366 375947468208 394155750144 409315586688 415461466368 427002062656 443425218912 462704576256 467394149664 480377320488 501263290944 540424485549 591233625216 623192199552 640503093984 665137828368 668351054592 720565980732 751894936416 818631173376 854004125312 886850437824 934788299328 960754640976 1002526581888 1080848971098 1182467250432 1246384399104 1281006187968 1330275656736 1441131961464 1503789872832 1708008250624 1773700875648 1869576598656 1921509281952 2005053163776 2161697942196 2562012375936 2660551313472 2882263922928 3007579745664 3547401751296 3739153197312 3843018563904 4323395884392 5124024751872 5321102626944 5764527845856 6015159491328 7686037127808 8646791768784 10642205253888 11529055691712 15372074255616 17293583537568 23058111383424 34587167075136 46116222766848 69174334150272 138348668300544
- Sum of all divisors σ(n): 479829837036396
- Sum of proper divisors (its aliquot sum) s(n): 341481168735852
- 138348668300544 is an abundant number, because the sum of its proper divisors (341481168735852) is greater than itself. Its abundance is 203132500435308
Bases of 138348668300544
- Binary: 111110111010011110011110011101010101101000000002
- Hexadecimal: 0x7DD3CF3AAD00
- Base-36: 1D1GI11S00
Squares and roots of 138348668300544
- 138348668300544 squared (1383486683005442) is 19140354020533948241110695936
- 138348668300544 cubed (1383486683005443) is 2648042489541834946685962563474986247389184
-
The
square root of 138348668300544 is 11762171.0708756487 -
The
cube root of 138348668300544 is 51719.9775513601
Scales and comparisons
How big is 138348668300544?- 138,348,668,300,544 seconds is equal to 4,399,059 years, 36 weeks, 6 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,348,668,300,544 would take you about ten million, nine hundred ninety-seven thousand, six hundred forty-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 138348668300544 cubic inches would be around 4310 feet tall.
Recreational maths with 138348668300544
- 138348668300544 backwards is 445003866843831
- The number of decimal digits it has is: 15
- The sum of 138348668300544's digits is 63
- More coming soon!
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"Number 138348668300544 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 138348668300544 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138348668300544/
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The information we have on file for 138348668300544 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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