138521009664
138,521,009,664 is an even composite number composed of six prime numbers multiplied together.
138521009664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138521009664:
29 × 32 × 19 × 37 × 61 × 701
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 19 × 37 × 61 × 701)See below for interesting mathematical facts about the number 138521009664 from the Numbermatics database.
Names of 138521009664
- Cardinal: 138521009664 can be written as One hundred thirty-eight billion, five hundred twenty-one million, nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.38521009664 × 1011
Factors of 138521009664
Divisors of 138521009664
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 32 36 37 38 48 57 61 64 72 74 76 96 111 114 122 128 144 148 152 171 183 192 222 228 244 256 288 296 304 333 342 366 384 444 456 488 512 549 576 592 608 666 684 701 703 732 768 888 912 976 1098 1152 1159 1184 1216 1332 1368 1402 1406 1464 1536 1776 1824 1952 2103 2109 2196 2257 2304 2318 2368 2432 2664 2736 2804 2812 2928 3477 3552 3648 3904 4206 4218 4392 4514 4608 4636 4736 4864 5328 5472 5608 5624 5856 6309 6327 6771 6954 7104 7296 7808 8412 8436 8784 9028 9272 9472 9728 10431 10656 10944 11216 11248 11712 12618 12654 13319 13542 13908 14208 14592 15616 16824 16872 17568 18056 18544 18944 20313 20862 21312 21888 22432 22496 23424 25236 25308 25937 26638 27084 27816 28416 29184 31232 33648 33744 35136 36112 37088 39957 40626 41724 42624 42761 42883 43776 44864 44992 46848 50472 50616 51874 53276 54168 55632 56832 67296 67488 70272 72224 74176 77811 79914 81252 83448 85248 85522 85766 87552 89728 89984 93696 100944 101232 103748 106552 108336 111264 119871 128283 128649 134592 134976 140544 144448 148352 155622 159828 162504 166896 170496 171044 171532 179456 179968 201888 202464 207496 213104 216672 222528 233433 239742 256566 257298 269184 269952 281088 288896 296704 311244 319656 325008 333792 342088 343064 358912 359936 384849 385947 403776 404928 414992 426208 433344 445056 466866 479484 492803 513132 514596 538368 539904 577792 593408 622488 639312 650016 667584 684176 686128 769698 771894 807552 809856 812459 829984 852416 866688 890112 933732 958968 985606 1026264 1029192 1076736 1079808 1155584 1244976 1278624 1300032 1335168 1368352 1372256 1478409 1539396 1543788 1582157 1615104 1619712 1624918 1659968 1704832 1733376 1780224 1867464 1917936 1971212 2052528 2058384 2437377 2489952 2557248 2600064 2670336 2736704 2744512 2956818 3078792 3087576 3164314 3230208 3239424 3249836 3319936 3409664 3466752 3734928 3835872 3942424 4105056 4116768 4435227 4746471 4874754 4979904 5114496 5200128 5340672 5473408 5489024 5913636 6157584 6175152 6328628 6499672 6639872 6819328 7312131 7469856 7671744 7884848 8210112 8233536 8870454 9492942 9749508 9959808 10228992 10400256 10946816 10978048 11827272 12315168 12350304 12657256 12999344 13279744 14239413 14624262 14939712 15343488 15769696 16420224 16467072 17740908 18985884 19499016 19919616 20457984 21893632 21956096 23654544 24630336 24700608 25314512 25998688 28478826 29248524 29879424 30060983 30686976 31539392 32840448 32934144 35481816 37971768 38998032 39839232 47309088 49260672 49401216 50629024 51997376 56957652 58497048 59758848 60121966 61373952 63078784 65680896 65868288 70963632 75943536 77996064 90182949 94618176 98521344 98802432 101258048 103994752 113915304 116994096 119517696 120243932 126157568 141927264 151887072 155992128 180365898 189236352 197042688 197604864 202516096 207989504 227830608 233988192 240487864 252315136 270548847 283854528 303774144 311984256 360731796 378472704 405032192 415979008 455661216 467976384 480975728 541097694 567709056 607548288 623968512 721463592 756945408 810064384 911322432 935952768 961951456 1082195388 1135418112 1215096576 1247937024 1442927184 1822644864 1871905536 1923902912 2164390776 2270836224 2430193152 2885854368 3645289728 3743811072 3847805824 4328781552 5771708736 7290579456 7695611648 8657563104 11543417472 15391223296 17315126208 23086834944 34630252416 46173669888 69260504832 138521009664
- Sum of all divisors σ(n): 439907513760
- Sum of proper divisors (its aliquot sum) s(n): 301386504096
- 138521009664 is an abundant number, because the sum of its proper divisors (301386504096) is greater than itself. Its abundance is 162865494432
Bases of 138521009664
- Binary: 100000010000000111111011011110000000002
- Hexadecimal: 0x20407EDE00
- Base-36: 1RMVTZ40
Squares and roots of 138521009664
- 138521009664 squared (1385210096642) is 19188070118333981392896
- 138521009664 cubed (1385210096643) is 2657950846295251060104942996946944
-
The
square root of 138521009664 is 372184.1072157703 -
The
cube root of 138521009664 is 5174.1444551923
Scales and comparisons
How big is 138521009664?- 138,521,009,664 seconds is equal to 4,404 years, 28 weeks, 10 hours, 14 minutes, 24 seconds.
-
To count from 1 to 138,521,009,664 would take you about eight thousand, eight hundred 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 138521009664 cubic inches would be around 431.2 feet tall.
Recreational maths with 138521009664
- 138521009664 backwards is 466900125831
- The number of decimal digits it has is: 12
- The sum of 138521009664's digits is 45
- More coming soon!
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