138538774816
138,538,774,816 is an even composite number composed of six prime numbers multiplied together.
138538774816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138538774816:
25 × 132 × 19 × 23 × 312 × 61
(2 × 2 × 2 × 2 × 2 × 13 × 13 × 19 × 23 × 31 × 31 × 61)See below for interesting mathematical facts about the number 138538774816 from the Numbermatics database.
Names of 138538774816
- Cardinal: 138538774816 can be written as One hundred thirty-eight billion, five hundred thirty-eight million, seven hundred seventy-four thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38538774816 × 1011
Factors of 138538774816
Divisors of 138538774816
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 4 8 13 16 19 23 26 31 32 38 46 52 61 62 76 92 104 122 124 152 169 184 208 244 247 248 299 304 338 368 403 416 437 488 494 496 589 598 608 676 713 736 793 806 874 961 976 988 992 1159 1178 1196 1352 1403 1426 1586 1612 1748 1891 1922 1952 1976 2318 2356 2392 2704 2806 2852 3172 3211 3224 3496 3782 3844 3887 3952 4636 4712 4784 5239 5408 5612 5681 5704 6344 6422 6448 6992 7564 7657 7688 7774 7904 9269 9272 9424 9568 10309 10478 11224 11362 11408 12493 12688 12844 12896 13547 13984 15067 15128 15314 15376 15548 18239 18259 18538 18544 18848 20618 20956 22103 22448 22724 22816 24583 24986 25376 25688 26657 27094 30134 30256 30628 30752 31096 35929 36478 36518 37076 37088 41236 41912 43493 44206 44896 45448 49166 49972 51376 53314 54188 58621 60268 60512 61256 62192 71858 72956 73036 73853 74152 82472 83824 86986 88412 90896 98332 99541 99944 102752 106628 108376 117242 120497 120536 122512 124384 143716 145912 146072 147706 148304 162409 164944 167648 173972 176111 176824 181792 195871 196664 199082 199888 213256 216752 234484 237107 237367 240994 241072 245024 287339 287432 291824 292144 295412 296608 319579 324818 329888 346541 347944 352222 353648 391742 393328 398164 399776 419957 426512 433504 467077 468968 474214 474734 481988 482144 565409 574678 574864 583648 584288 590824 639158 649636 693082 695888 704444 707296 762073 783484 786656 796328 826367 839914 853024 934154 937936 948428 949468 963976 1113799 1130818 1149356 1149728 1181648 1278316 1299272 1348283 1386164 1391776 1408888 1524146 1566968 1592656 1652734 1679828 1868308 1875872 1896856 1898936 1927952 2227598 2261636 2289443 2298712 2363296 2556632 2598544 2696566 2772328 2817776 3048292 3085771 3133936 3185312 3305468 3359656 3735407 3736616 3793712 3797872 3855904 4455196 4505033 4523272 4578886 4597424 5113264 5197088 5393132 5459441 5544656 5635552 6072001 6096584 6171542 6267872 6610936 6719312 7350317 7470814 7473232 7587424 7595744 8910392 9010066 9046544 9157772 9194848 9906949 10226528 10742771 10786264 10918882 11089312 12144002 12193168 12343084 13221872 13438624 14479387 14700634 14941628 14946464 17527679 17820784 18020132 18093088 18315544 19813898 21485542 21572528 21837764 24288004 24386336 24686168 25617377 26443744 28958774 29401268 29883256 35055358 35641568 36040264 36631088 39627796 42971084 43145056 43675528 48576008 49372336 51234754 57917548 58802536 59766512 70110716 70972733 72080528 73262176 79255592 85942168 87351056 97152016 98744672 102469508 115835096 117605072 119533024 139656023 140221432 141945466 144161056 158511184 171884336 174702112 188232031 194304032 204939016 227859827 231670192 235210144 279312046 280442864 283890932 317022368 333025901 343768672 376464062 409878032 455719654 463340384 558624092 560885728 567781864 666051802 752928124 819756064 911439308 1117248184 1135563728 1332103604 1505856248 1822878616 2234496368 2271127456 2664207208 3011712496 3645757232 4329336713 4468992736 5328414416 6023424992 7291514464 8658673426 10656828832 17317346852 34634693704 69269387408 138538774816
- Sum of all divisors σ(n): 340701318720
- Sum of proper divisors (its aliquot sum) s(n): 202162543904
- 138538774816 is an abundant number, because the sum of its proper divisors (202162543904) is greater than itself. Its abundance is 63623769088
Bases of 138538774816
- Binary: 100000010000011000110111110001001000002
- Hexadecimal: 0x20418DF120
- Base-36: 1RN6EQSG
Squares and roots of 138538774816
- 138538774816 squared (1385387748162) is 19192992127518355833856
- 138538774816 cubed (1385387748163) is 2658973614399526255773136292970496
-
The
square root of 138538774816 is 372207.9725314867 -
The
cube root of 138538774816 is 5174.3656383271
Scales and comparisons
How big is 138538774816?- 138,538,774,816 seconds is equal to 4,405 years, 5 weeks, 3 days, 1 hour, 16 seconds.
-
To count from 1 to 138,538,774,816 would take you about eight thousand, eight hundred 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 138538774816 cubic inches would be around 431.2 feet tall.
Recreational maths with 138538774816
- 138538774816 backwards is 618477835831
- 138538774816 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138538774816's digits is 61
- More coming soon!
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The information we have on file for 138538774816 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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