138938068588560384
138,938,068,588,560,384 is an even composite number composed of five prime numbers multiplied together.
What does the number 138938068588560384 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1856 divisors.
138938068588560384 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred fifty-six divisors.
Prime factorization of 138938068588560384:
228 × 3 × 113 × 133 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 11 × 13 × 13 × 13 × 59)See below for interesting mathematical facts about the number 138938068588560384 from the Numbermatics database.
Names of 138938068588560384
- Cardinal: 138938068588560384 can be written as One hundred thirty-eight quadrillion, nine hundred thirty-eight trillion, sixty-eight billion, five hundred eighty-eight million, five hundred sixty thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.38938068588560384 × 1017
Factors of 138938068588560384
Divisors of 138938068588560384
- Number of divisors d(n): 1856
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Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 59 64 66 78 88 96 104 118 121 128 132 143 156 169 176 177 192 208 236 242 256 264 286 312 338 352 354 363 384 416 429 472 484 507 512 528 572 624 649 676 704 708 726 767 768 832 858 944 968 1014 1024 1056 1144 1248 1298 1331 1352 1408 1416 1452 1534 1536 1573 1664 1716 1859 1888 1936 1947 2028 2048 2112 2197 2288 2301 2496 2596 2662 2704 2816 2832 2904 3068 3072 3146 3328 3432 3718 3776 3872 3894 3993 4056 4096 4224 4394 4576 4602 4719 4992 5192 5324 5408 5577 5632 5664 5808 6136 6144 6292 6591 6656 6864 7139 7436 7552 7744 7788 7986 8112 8192 8437 8448 8788 9152 9204 9438 9971 9984 10384 10648 10816 11154 11264 11328 11616 12272 12288 12584 13182 13312 13728 14278 14872 15104 15488 15576 15972 16224 16384 16874 16896 17303 17576 18304 18408 18876 19942 19968 20449 20768 21296 21417 21632 22308 22528 22656 23232 24167 24544 24576 25168 25311 26364 26624 27456 28556 29744 29913 30208 30976 31152 31944 32448 32768 33748 33792 34606 35152 36608 36816 37752 39884 39936 40898 41536 42592 42834 43264 44616 45056 45312 46464 48334 49088 49152 50336 50622 51909 52728 53248 54912 57112 59488 59826 60416 61347 61952 62304 63888 64896 65536 67496 67584 69212 70304 72501 73216 73632 75504 78529 79768 79872 81796 83072 85184 85668 86528 89232 90112 90624 92807 92928 96668 98176 98304 100672 101244 103818 105456 106496 109681 109824 114224 118976 119652 120832 122694 123904 124608 127776 129623 129792 131072 134992 135168 138424 140608 145002 146432 147264 151008 157058 159536 159744 163592 166144 170368 171336 173056 178464 180224 181248 185614 185856 193336 196352 196608 201344 202488 207636 210912 212992 219362 219648 224939 228448 235587 237952 239304 241664 245388 247808 249216 255552 259246 259584 262144 265837 269984 270336 276848 278421 281216 290004 292864 294528 302016 314116 319072 319488 327184 329043 332288 340736 342672 346112 356928 360448 362496 371228 371712 386672 388869 392704 393216 402688 404976 415272 421824 425984 438724 439296 449878 456896 471174 475904 478608 483328 490776 495616 498432 511104 518492 519168 524288 531674 539968 540672 553696 556842 562432 580008 585728 589056 604032 628232 638144 638976 654368 658086 664576 674817 681472 685344 692224 713856 720896 724992 742456 743424 773344 777738 785408 786432 797511 805376 809952 830544 843648 851968 877448 878592 899756 913792 942348 951808 957216 966656 981552 991232 996864 1020877 1022208 1036984 1038336 1048576 1063348 1079936 1081344 1107392 1113684 1124864 1160016 1171456 1178112 1206491 1208064 1256464 1276288 1277952 1308736 1316172 1329152 1349634 1362944 1370688 1384448 1425853 1427712 1441792 1449984 1484912 1486848 1546688 1555476 1570816 1572864 1595022 1610752 1619904 1661088 1687296 1703936 1754896 1757184 1799512 1827584 1884696 1903616 1914432 1933312 1963104 1982464 1993728 2041754 2044416 2073968 2076672 2097152 2126696 2159872 2162688 2214784 2227368 2249728 2320032 2342912 2356224 2412982 2416128 2512928 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35882765647872 36795039350784 37369034047488 40483120218112 41748217724928 44163403874304 45227235868672 45286202277888 47843687530496 49060052467712 49338802765824 51382421815296 52193113669632 53520057237504 55664290299904 60381603037184 60724680327168 63239903772672 65785070354432 67840853803008 68509895753728 71360076316672 71765531295744 73590078701568 74738068094976 80966240436224 83496435449856 88326807748608 90454471737344 90572404555776 95687375060992 98120104935424 98677605531648 102764843630592 104386227339264 107040114475008 111328580599808 121449360654336 131570140708864 135681707606016 137019791507456 143531062591488 147180157403136 161932480872448 166992870899712 180908943474688 181144809111552 191374750121984 196240209870848 197355211063296 205529687261184 214080228950016 222657161199616 242898721308672 263140281417728 271363415212032 274039583014912 287062125182976 294360314806272 323864961744896 333985741799424 361817886949376 382749500243968 392480419741696 394710422126592 411059374522368 445314322399232 485797442617344 526280562835456 542726830424064 574124250365952 588720629612544 667971483598848 723635773898752 784960839483392 789420844253184 822118749044736 890628644798464 971594885234688 1052561125670912 1085453660848128 1148248500731904 1177441259225088 1335942967197696 1447271547797504 1578841688506368 1781257289596928 2105122251341824 2170907321696256 2354882518450176 2671885934395392 2894543095595008 3157683377012736 3562514579193856 4210244502683648 4341814643392512 5343771868790784 5789086191190016 6315366754025472 8683629286785024 10687543737581568 11578172382380032 12630733508050944 17367258573570048 23156344764760064 34734517147140096 46312689529520128 69469034294280192 138938068588560384
- Sum of all divisors σ(n): 448951212627724800
- Sum of proper divisors (its aliquot sum) s(n): 310013144039164416
- 138938068588560384 is an abundant number, because the sum of its proper divisors (310013144039164416) is greater than itself. Its abundance is 171075075450604032
Bases of 138938068588560384
- Binary: 1111011011001101101101111111100000000000000000000000000002
- Hexadecimal: 0x1ED9B6FF0000000
- Base-36: 1201FNKB045C
Squares and roots of 138938068588560384
- 138938068588560384 squared (1389380685885603842) is 19303786903119509654999549614227456
- 138938068588560384 cubed (1389380685885603843) is 2682030868764572076927173364709150489971771366703104
-
The
square root of 138938068588560384 is 372743971.9010360923 -
The
cube root of 138938068588560384 is 517933.2022169687
Scales and comparisons
How big is 138938068588560384?- 138,938,068,588,560,384 seconds is equal to 4,417,800,817 years, 23 weeks, 3 days, 18 hours, 46 minutes, 24 seconds.
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To count from 1 to 138,938,068,588,560,384 would take you about thirteen billion, two hundred fifty-three million, four hundred two thousand, four hundred fifty-two 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 138938068588560384 cubic inches would be around 43161.1 feet tall.
Recreational maths with 138938068588560384
- 138938068588560384 backwards is 483065885860839831
- The number of decimal digits it has is: 18
- The sum of 138938068588560384's digits is 93
- More coming soon!
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The information we have on file for 138938068588560384 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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