138838487424
138,838,487,424 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138838487424 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 512 divisors.
138838487424 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 138838487424:
27 × 3 × 7 × 13 × 37 × 73 × 1471
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 37 × 73 × 1471)See below for interesting mathematical facts about the number 138838487424 from the Numbermatics database.
Names of 138838487424
- Cardinal: 138838487424 can be written as One hundred thirty-eight billion, eight hundred thirty-eight million, four hundred eighty-seven thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.38838487424 × 1011
Factors of 138838487424
Divisors of 138838487424
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 37 39 42 48 52 56 64 73 74 78 84 91 96 104 111 112 128 146 148 156 168 182 192 208 219 222 224 259 273 292 296 312 336 364 384 416 438 444 448 481 511 518 546 584 592 624 672 728 777 832 876 888 896 949 962 1022 1036 1092 1168 1184 1248 1344 1443 1456 1471 1533 1554 1664 1752 1776 1898 1924 2044 2072 2184 2336 2368 2496 2688 2701 2847 2886 2912 2942 3066 3108 3367 3504 3552 3796 3848 4088 4144 4368 4413 4672 4736 4992 5402 5694 5772 5824 5884 6132 6216 6643 6734 7008 7104 7592 7696 8103 8176 8288 8736 8826 9344 10101 10297 10804 11388 11544 11648 11768 12264 12432 13286 13468 14016 14208 15184 15392 16206 16352 16576 17472 17652 18907 19123 19929 20202 20594 21608 22776 23088 23536 24528 24864 26572 26936 28032 30368 30784 30891 32412 32704 33152 34944 35113 35304 37814 38246 39858 40404 41188 43216 45552 46176 47072 49056 49728 53144 53872 54427 56721 57369 60736 61568 61782 64824 65408 70226 70608 75628 76492 79716 80808 82376 86432 91104 92352 94144 98112 99456 105339 106288 107383 107744 108854 113442 114738 121472 123564 129648 133861 140452 141216 151256 152984 159432 161616 163281 164752 172864 182208 184704 188288 196224 210678 212576 214766 215488 217708 226884 229476 245791 247128 259296 267722 280904 282432 302512 305968 318864 322149 323232 326562 329504 345728 364416 380989 401583 421356 425152 429532 430976 435416 453768 458952 491582 494256 518592 535444 561808 564864 605024 611936 637728 644298 646464 653124 659008 707551 737373 751681 761978 803166 842712 850304 859064 870832 907536 917904 983164 988512 1037184 1070888 1123616 1142967 1210048 1223872 1275456 1288596 1292928 1306248 1318016 1395979 1415102 1474746 1503362 1523956 1606332 1685424 1718128 1741664 1815072 1835808 1966328 1977024 2122653 2141776 2247232 2255043 2285934 2420096 2447744 2550912 2577192 2612496 2791958 2830204 2949492 3006724 3047912 3212664 3370848 3436256 3483328 3630144 3671616 3932656 3954048 3973171 4187937 4245306 4283552 4494464 4510086 4571868 4952857 5154384 5224992 5583916 5660408 5898984 6013448 6095824 6425328 6741696 6872512 6966656 7260288 7343232 7865312 7946342 8375874 8490612 8567104 9020172 9143736 9771853 9905714 10308768 10449984 11167832 11320816 11797968 11919513 12026896 12191648 12850656 13483392 13745024 14858571 15730624 15892684 16751748 16981224 17134208 18040344 18287472 19543706 19811428 20617536 20899968 22335664 22641632 23595936 23839026 24053792 24383296 25701312 27812197 29315559 29717142 31461248 31785368 33503496 33962448 36080688 36574944 39087412 39622856 41235072 44671328 45283264 47191872 47678052 48107584 48766592 51402624 51651223 55624394 58631118 59434284 63570736 67006992 67924896 72161376 73149888 78174824 79245712 83436591 89342656 90566528 94383744 95356104 96215168 103302446 111248788 117262236 118868568 127141472 134013984 135849792 144322752 146299776 154953669 156349648 158491424 166873182 178685312 190712208 206604892 222497576 234524472 237737136 254282944 268027968 271699584 288645504 309907338 312699296 316982848 333746364 361558561 381424416 413209784 444995152 469048944 475474272 508565888 536055936 619814676 625398592 633965696 667492728 723117122 762848832 826419568 889990304 938097888 950948544 1084675683 1239629352 1250797184 1334985456 1446234244 1525697664 1652839136 1779980608 1876195776 1901897088 2169351366 2479258704 2669970912 2892468488 3305678272 3559961216 3752391552 4338702732 4958517408 5339941824 5784936976 6611356544 8677405464 9917034816 10679883648 11569873952 17354810928 19834069632 23139747904 34709621856 46279495808 69419243712 138838487424
- Sum of all divisors σ(n): 472869519360
- Sum of proper divisors (its aliquot sum) s(n): 334031031936
- 138838487424 is an abundant number, because the sum of its proper divisors (334031031936) is greater than itself. Its abundance is 195192544512
Bases of 138838487424
- Binary: 100000010100110110101100110001100000002
- Hexadecimal: 0x20536B3180
- Base-36: 1RS4UMIO
Squares and roots of 138838487424
- 138838487424 squared (1388384874242) is 19276125590184206155776
- 138838487424 cubed (1388384874243) is 2676268120336234484202129560961024
-
The
square root of 138838487424 is 372610.3694531327 -
The
cube root of 138838487424 is 5178.0943311851
Scales and comparisons
How big is 138838487424?- 138,838,487,424 seconds is equal to 4,414 years, 32 weeks, 6 days, 22 hours, 30 minutes, 24 seconds.
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To count from 1 to 138,838,487,424 would take you about eight thousand, eight hundred twenty-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 138838487424 cubic inches would be around 431.5 feet tall.
Recreational maths with 138838487424
- 138838487424 backwards is 424784838831
- The number of decimal digits it has is: 12
- The sum of 138838487424's digits is 60
- More coming soon!
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