138625438224
138,625,438,224 is an even composite number composed of six prime numbers multiplied together.
138625438224 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 138625438224:
24 × 3 × 72 × 13 × 193 × 661
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 19 × 19 × 19 × 661)See below for interesting mathematical facts about the number 138625438224 from the Numbermatics database.
Names of 138625438224
- Cardinal: 138625438224 can be written as One hundred thirty-eight billion, six hundred twenty-five million, four hundred thirty-eight thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.38625438224 × 1011
Factors of 138625438224
Divisors of 138625438224
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 49 52 56 57 76 78 84 91 98 104 112 114 133 147 152 156 168 182 196 208 228 247 266 273 294 304 312 336 361 364 392 399 456 494 532 546 588 624 637 661 722 728 741 784 798 912 931 988 1064 1083 1092 1176 1274 1322 1444 1456 1482 1596 1729 1862 1911 1976 1983 2128 2166 2184 2352 2527 2548 2644 2793 2888 2964 3192 3458 3724 3822 3952 3966 4332 4368 4627 4693 5054 5096 5187 5288 5586 5776 5928 6384 6859 6916 7448 7581 7644 7932 8593 8664 9254 9386 10108 10192 10374 10576 11172 11856 12103 12559 13718 13832 13881 14079 14896 15162 15288 15864 17186 17328 17689 18508 18772 20216 20577 20748 22344 24206 25118 25779 27436 27664 27762 28158 30324 30576 31728 32389 32851 34372 35378 36309 37016 37544 37677 40432 41154 41496 44688 48013 48412 50236 51558 53067 54872 55524 56316 60151 60648 64778 65702 68744 70756 72618 74032 75088 75354 82308 82992 87913 89167 96026 96824 97167 98553 100472 103116 106134 109744 111048 112632 120302 121296 129556 131404 137488 141512 144039 145236 150708 163267 164616 175826 178334 180453 192052 193648 194334 197106 200944 206232 212268 222096 225264 229957 238621 240604 259112 262808 263739 267501 283024 288078 290472 301416 326534 329232 336091 351652 356668 360906 384104 388668 394212 412464 421057 424536 459914 477242 481208 489801 518224 525616 527478 535002 576156 580944 602832 615391 624169 653068 672182 689871 703304 713336 715863 721812 768208 777336 788424 842114 849072 919828 954484 962416 979602 1008273 1054956 1070004 1142869 1152312 1230782 1248338 1263171 1306136 1344364 1379742 1406608 1426672 1431726 1443624 1554672 1576848 1670347 1684228 1839656 1846173 1872507 1908968 1959204 2016546 2109912 2140008 2285738 2304624 2461564 2496676 2526342 2612272 2688728 2759484 2863452 2887248 3102073 3340694 3368456 3428607 3679312 3692346 3745014 3817936 3918408 4033092 4219824 4280016 4369183 4533799 4571476 4923128 4993352 5011041 5052684 5377456 5518968 5726904 6204146 6681388 6736912 6857214 7384692 7490028 7836816 8000083 8066184 8738366 9067598 9142952 9306219 9846256 9986704 10022082 10105368 11037936 11453808 11692429 12408292 13107549 13362776 13601397 13714428 14769384 14980056 16000166 16132368 17476732 18135196 18285904 18612438 20044164 20210736 21714511 23384858 24000249 24816584 26215098 26725552 27202794 27428856 29538768 29960112 31736593 32000332 34953464 35077287 36270392 37224876 40088328 43429022 46769716 48000498 49633168 52430196 54405588 54857712 58939387 63473186 64000664 65143533 69906928 70154574 72540784 74449752 80176656 86858044 93539432 95209779 96000996 104860392 108811176 117878774 126946372 128001328 130287066 140309148 148899504 152001577 173716088 176818161 187078864 190419558 192001992 209720784 217622352 222156151 235757548 253892744 260574132 280618296 304003154 347432176 353636322 380839116 384003984 412575709 444312302 456004731 471515096 507785488 521148264 561236592 608006308 666468453 707272644 761678232 825151418 888624604 912009462 943030192 1042296528 1216012616 1237727127 1332936906 1414545288 1523356464 1650302836 1777249208 1824018924 2432025232 2475454254 2665873812 2829090576 2888029963 3300605672 3554498416 3648037848 4950908508 5331747624 5776059926 6601211344 7296075696 8664089889 9901817016 10663495248 11552119852 17328179778 19803634032 23104239704 34656359556 46208479408 69312719112 138625438224
- Sum of all divisors σ(n): 474265061760
- Sum of proper divisors (its aliquot sum) s(n): 335639623536
- 138625438224 is an abundant number, because the sum of its proper divisors (335639623536) is greater than itself. Its abundance is 197014185312
Bases of 138625438224
- Binary: 100000010001101011100001010010000100002
- Hexadecimal: 0x2046B85210
- Base-36: 1ROM08PC
Squares and roots of 138625438224
- 138625438224 squared (1386254382242) is 19217012122796040274176
- 138625438224 cubed (1386254382243) is 2663966726878521583179601110503424
-
The
square root of 138625438224 is 372324.3723206957 -
The
cube root of 138625438224 is 5175.4443608441
Scales and comparisons
How big is 138625438224?- 138,625,438,224 seconds is equal to 4,407 years, 44 weeks, 5 days, 2 hours, 10 minutes, 24 seconds.
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To count from 1 to 138,625,438,224 would take you about eight thousand, eight hundred fifteen 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 138625438224 cubic inches would be around 431.3 feet tall.
Recreational maths with 138625438224
- 138625438224 backwards is 422834526831
- 138625438224 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138625438224's digits is 48
- More coming soon!
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