138031348224
138,031,348,224 is an even composite number composed of six prime numbers multiplied together.
138031348224 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138031348224:
29 × 3 × 7 × 112 × 17 × 792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 11 × 17 × 79 × 79)See below for interesting mathematical facts about the number 138031348224 from the Numbermatics database.
Names of 138031348224
- Cardinal: 138031348224 can be written as One hundred thirty-eight billion, thirty-one million, three hundred forty-eight thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.38031348224 × 1011
Factors of 138031348224
Divisors of 138031348224
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 32 33 34 42 44 48 51 56 64 66 68 77 79 84 88 96 102 112 119 121 128 132 136 154 158 168 176 187 192 204 224 231 237 238 242 256 264 272 308 316 336 352 357 363 374 384 408 448 462 474 476 484 512 528 544 553 561 616 632 672 704 714 726 748 768 816 847 869 896 924 948 952 968 1056 1088 1106 1122 1232 1264 1309 1343 1344 1408 1428 1452 1496 1536 1632 1659 1694 1738 1792 1848 1896 1904 1936 2057 2112 2176 2212 2244 2464 2528 2541 2607 2618 2686 2688 2816 2856 2904 2992 3264 3318 3388 3476 3584 3696 3792 3808 3872 3927 4029 4114 4224 4352 4424 4488 4928 5056 5082 5214 5236 5372 5376 5632 5712 5808 5984 6083 6171 6241 6528 6636 6776 6952 7392 7584 7616 7744 7854 8058 8228 8448 8704 8848 8976 9401 9559 9856 10112 10164 10428 10472 10744 10752 11424 11616 11968 12166 12342 12482 13056 13272 13552 13904 14399 14773 14784 15168 15232 15488 15708 16116 16456 16896 17696 17952 18249 18723 18802 19118 19712 20224 20328 20856 20944 21488 22848 23232 23936 24332 24684 24964 26112 26544 27104 27808 28203 28677 28798 29546 29568 30336 30464 30976 31416 32232 32912 35392 35904 36498 37446 37604 38236 39424 40448 40656 41712 41888 42976 43197 43687 44319 45696 46464 47872 48664 49368 49928 53088 54208 55616 56406 57354 57596 59092 59136 60672 60928 61952 62832 64464 65824 66913 68651 70784 71808 72996 74892 75208 76472 81312 83424 83776 85952 86394 87374 88638 91392 92928 95744 97328 98736 99856 103411 106097 106176 108416 111232 112812 114708 115192 118184 118272 121344 125664 128928 131061 131648 133826 137302 141568 143616 145992 149784 150416 152944 162503 162624 166848 167552 171904 172788 174748 177276 182784 185856 194656 197472 199712 200739 205953 206822 212194 212352 216832 222464 225624 229416 230384 236368 251328 257856 262122 263296 267652 274604 283136 287232 291984 299568 300832 305888 310233 318291 325006 325248 333696 335104 343808 345576 349496 354552 389312 394944 399424 401478 411906 413644 424388 424704 433664 444928 451248 458832 460768 472736 480557 487509 502656 515712 524244 526592 535304 549208 583968 599136 601664 611776 620466 636582 650012 650496 667392 670208 687616 691152 698992 709104 742679 755161 778624 789888 798848 802956 823812 827288 848776 849408 902496 917664 921536 945472 961114 975018 1005312 1031424 1048488 1053184 1070608 1098416 1137521 1167067 1167936 1198272 1203328 1223552 1240932 1273164 1300024 1300992 1334784 1382304 1397984 1418208 1441671 1485358 1510322 1557248 1579776 1597696 1605912 1647624 1654576 1697552 1804992 1835328 1843072 1890944 1922228 1950036 2010624 2062848 2096976 2141216 2196832 2228037 2265483 2275042 2334134 2335872 2396544 2406656 2447104 2481864 2546328 2600048 2764608 2795968 2836416 2883342 2970716 3020644 3114496 3159552 3195392 3211824 3295248 3309152 3395104 3412563 3501201 3609984 3670656 3686144 3781888 3844456 3900072 4193952 4282432 4393664 4456074 4530966 4550084 4668268 4671744 4793088 4813312 4894208 4963728 5092656 5200096 5286127 5529216 5591936 5672832 5766684 5941432 6041288 6423648 6590496 6618304 6790208 6825126 7002402 7219968 7341312 7372288 7563776 7688912 7800144 8169469 8387904 8564864 8787328 8912148 9061932 9100168 9336536 9343488 9586176 9927456 10185312 10400192 10572254 11058432 11183872 11345664 11533368 11882864 12082576 12837737 12847296 13180992 13236608 13580416 13650252 14004804 14439936 14682624 15377824 15600288 15858381 16338938 16775808 17129728 17574656 17824296 18123864 18200336 18673072 19854912 20370624 20800384 21144508 22116864 22367744 22691328 23066736 23765728 24165152 24508407 25675474 25694592 26361984 26473216 27160832 27300504 28009608 30755648 31200576 31716762 32677876 33551616 34259456 35149312 35648592 36247728 36400672 37346144 38513211 39709824 40741248 41600768 42289016 46133472 47531456 48330304 49016814 51350948 51389184 52723968 52946432 54321664 54601008 56019216 61511296 62401152 63433524 65355752 67103232 71297184 72495456 72801344 74692288 77026422 79419648 81482496 83201536 84578032 89864159 92266944 95062912 96660608 98033628 102701896 102778368 105447936 109202016 112038432 123022592 124802304 126867048 130711504 142594368 144990912 145602688 149384576 154052844 158839296 162964992 169156064 179728318 184533888 190125824 193321216 196067256 205403792 218404032 224076864 246045184 249604608 253734096 261423008 269592477 285188736 289981824 291205376 298769152 308105688 338312128 359456636 369067776 380251648 386642432 392134512 410807584 436808064 448153728 507468192 522846016 539184954 570377472 579963648 582410752 597538304 616211376 676624256 718913272 738135552 784269024 821615168 873616128 896307456 1014936384 1045692032 1078369908 1140754944 1159927296 1232422752 1353248512 1437826544 1568538048 1643230336 1747232256 1792614912 2029872768 2091384064 2156739816 2464845504 2706497024 2875653088 3137076096 3286460672 4059745536 4182768128 4313479632 4929691008 5751306176 6274152192 6572921344 8119491072 8626959264 9859382016 11502612352 12548304384 17253918528 19718764032 23005224704 34507837056 46010449408 69015674112 138031348224
- Sum of all divisors σ(n): 495376668864
- Sum of proper divisors (its aliquot sum) s(n): 357345320640
- 138031348224 is an abundant number, because the sum of its proper divisors (357345320640) is greater than itself. Its abundance is 219313972416
Bases of 138031348224
- Binary: 100000001000110100111100111010000000002
- Hexadecimal: 0x20234F3A00
- Base-36: 1RESATXC
Squares and roots of 138031348224
- 138031348224 squared (1380313482242) is 19052653092535147954176
- 138031348224 cubed (1380313482243) is 2629863393606789502222228650983424
-
The
square root of 138031348224 is 371525.7033153965 -
The
cube root of 138031348224 is 5168.0405189373
Scales and comparisons
How big is 138031348224?- 138,031,348,224 seconds is equal to 4,388 years, 50 weeks, 3 days, 1 hour, 10 minutes, 24 seconds.
-
To count from 1 to 138,031,348,224 would take you about eight thousand, seven hundred seventy-seven 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 138031348224 cubic inches would be around 430.7 feet tall.
Recreational maths with 138031348224
- 138031348224 backwards is 422843130831
- The number of decimal digits it has is: 12
- The sum of 138031348224's digits is 39
- More coming soon!
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