138407974059312
138,407,974,059,312 is an even composite number composed of four prime numbers multiplied together.
138407974059312 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred twenty divisors.
Prime factorization of 138407974059312:
24 × 33 × 192 × 316
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 19 × 19 × 31 × 31 × 31 × 31 × 31 × 31)See below for interesting mathematical facts about the number 138407974059312 from the Numbermatics database.
Names of 138407974059312
- Cardinal: 138407974059312 can be written as One hundred thirty-eight trillion, four hundred seven billion, nine hundred seventy-four million, fifty-nine thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.38407974059312 × 1014
Factors of 138407974059312
Divisors of 138407974059312
- Number of divisors d(n): 420
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 31 36 38 48 54 57 62 72 76 93 108 114 124 144 152 171 186 216 228 248 279 304 342 361 372 432 456 496 513 558 589 684 722 744 837 912 961 1026 1083 1116 1178 1368 1444 1488 1674 1767 1922 2052 2166 2232 2356 2736 2883 2888 3249 3348 3534 3844 4104 4332 4464 4712 5301 5766 5776 6498 6696 7068 7688 8208 8649 8664 9424 9747 10602 11191 11532 12996 13392 14136 15376 15903 17298 17328 18259 19494 21204 22382 23064 25947 25992 28272 29791 31806 33573 34596 36518 38988 42408 44764 46128 51894 51984 54777 59582 63612 67146 69192 73036 77976 84816 89373 89528 100719 103788 109554 119164 127224 134292 138384 146072 155952 164331 178746 179056 201438 207576 219108 238328 254448 268119 268584 292144 302157 328662 346921 357492 402876 415152 438216 476656 492993 536238 537168 566029 604314 657324 693842 714984 804357 805752 876432 923521 985986 1040763 1072476 1132058 1208628 1314648 1387684 1429968 1608714 1611504 1698087 1847042 1971972 2081526 2144952 2264116 2417256 2629296 2770563 2775368 3122289 3217428 3396174 3694084 3943944 4163052 4289904 4528232 4834512 5094261 5541126 5550736 6244578 6434856 6792348 7388168 7887888 8311689 8326104 9056464 9366867 10188522 10754551 11082252 12489156 12869712 13584696 14776336 15282783 16623378 16652208 17546899 18733734 20377044 21509102 22164504 24935067 24978312 27169392 28629151 30565566 32263653 33246756 35093798 37467468 40754088 43018204 44329008 49870134 49956624 52640697 57258302 61131132 64527306 66493512 70187596 74934936 81508176 85887453 86036408 96790959 99740268 105281394 114516604 122262264 129054612 132987024 140375192 149869872 157922091 171774906 172072816 193581918 199480536 210562788 229033208 244524528 257662359 258109224 280750384 290372877 315844182 333391081 343549812 387163836 398961072 421125576 458066416 473766273 515324718 516218448 543953869 580745754 631688364 666782162 687099624 772987077 774327672 842251152 887503681 947532546 1000173243 1030649436 1087907738 1161491508 1263376728 1333564324 1374199248 1545974154 1548655344 1631861607 1775007362 1895065092 2000346486 2061298872 2175815476 2322983016 2526753456 2662511043 2667128648 3000519729 3091948308 3263723214 3550014724 3790130184 4000692972 4122597744 4351630952 4645966032 4895584821 5325022086 5334257296 6001039458 6183896616 6527446428 7100029448 7580260368 7987533129 8001385944 8703261904 9001559187 9791169642 10335123511 10650044172 12002078916 12367793232 13054892856 14200058896 14686754463 15975066258 16002771888 16862569939 18003118374 19582339284 20670247022 21300088344 23962599387 24004157832 26109785712 29373508926 31005370533 31950132516 33725139878 36006236748 39164678568 41340494044 42600176688 47925198774 48008315664 50587709817 58747017852 62010741066 63900265032 67450279756 72012473496 78329357136 82680988088 93016111599 95850397548 101175419634 117494035704 124021482132 127800530064 134900559512 144024946992 151763129451 165361976176 186032223198 191700795096 202350839268 234988071408 248042964264 269801119024 279048334797 303526258902 320388828841 372064446396 383401590192 404701678536 455289388353 496085928528 558096669594 607052517804 640777657682 744128892792 809403357072 910578776706 961166486523 1116193339188 1214105035608 1281555315364 1488257785584 1821157553412 1922332973046 2232386678376 2428210071216 2563110630728 2883499459569 3642315106824 3844665946092 4464773356752 5126221261456 5766998919138 7284630213648 7689331892184 8650498378707 11533997838276 15378663784368 17300996757414 23067995676552 34601993514828 46135991353104 69203987029656 138407974059312
- Sum of all divisors σ(n): 433268647004280
- Sum of proper divisors (its aliquot sum) s(n): 294860672944968
- 138407974059312 is an abundant number, because the sum of its proper divisors (294860672944968) is greater than itself. Its abundance is 156452698885656
Bases of 138407974059312
- Binary: 111110111100001100111100010000010111101001100002
- Hexadecimal: 0x7DE19E20BD30
- Base-36: 1D27QU60C0
Squares and roots of 138407974059312
- 138407974059312 squared (1384079740593122) is 19156767283203183511293913344
- 138407974059312 cubed (1384079740593123) is 2651449349193863041249743884896469644259328
-
The
square root of 138407974059312 is 11764691.8386888485 -
The
cube root of 138407974059312 is 51727.3667426691 - Being both a perfect square and a perfect cube, 138407974059312 is also a
perfect sixth number .
Scales and comparisons
How big is 138407974059312?- 138,407,974,059,312 seconds is equal to 4,400,945 years, 23 weeks, 3 days, 4 hours, 55 minutes, 12 seconds.
-
To count from 1 to 138,407,974,059,312 would take you about eleven million, two thousand, three hundred sixty-three 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 138407974059312 cubic inches would be around 4310.6 feet tall.
Recreational maths with 138407974059312
- 138407974059312 backwards is 213950479704831
- The number of decimal digits it has is: 15
- The sum of 138407974059312's digits is 63
- More coming soon!
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