138462831953316
138,462,831,953,316 is an even composite number composed of five prime numbers multiplied together.
What does the number 138462831953316 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 360 divisors.
138462831953316 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 138462831953316:
22 × 39 × 13 × 31 × 20892
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 31 × 2089 × 2089)See below for interesting mathematical facts about the number 138462831953316 from the Numbermatics database.
Names of 138462831953316
- Cardinal: 138462831953316 can be written as One hundred thirty-eight trillion, four hundred sixty-two billion, eight hundred thirty-one million, nine hundred fifty-three thousand, three hundred sixteen.
Scientific notation
- Scientific notation: 1.38462831953316 × 1014
Factors of 138462831953316
Divisors of 138462831953316
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 81 93 108 117 124 156 162 186 234 243 279 324 351 372 403 468 486 558 702 729 806 837 972 1053 1116 1209 1404 1458 1612 1674 2089 2106 2187 2418 2511 2916 3159 3348 3627 4178 4212 4374 4836 5022 6267 6318 6561 7254 7533 8356 8748 9477 10044 10881 12534 12636 13122 14508 15066 18801 18954 19683 21762 22599 25068 26244 27157 28431 30132 32643 37602 37908 39366 43524 45198 54314 56403 56862 64759 65286 67797 75204 78732 81471 85293 90396 97929 108628 112806 113724 129518 130572 135594 162942 169209 170586 194277 195858 203391 225612 244413 255879 259036 271188 293787 325884 338418 341172 388554 391716 406782 488826 507627 511758 582831 587574 610173 676836 733239 777108 813564 841867 881361 977652 1015254 1023516 1165662 1175148 1220346 1466478 1522881 1683734 1748493 1762722 2030508 2199717 2331324 2440692 2525601 2644083 2932956 3045762 3367468 3496986 3525444 4363921 4399434 4568643 5051202 5245479 5288166 6091524 6599151 6993972 7576803 7932249 8727842 8798868 9137286 10102404 10490958 10576332 13091763 13198302 13705929 15153606 15736437 15864498 17455684 18274572 19797453 20981916 22730409 26183526 26396604 27411858 30307212 31472874 31728996 39275289 39594906 41117787 45460818 47209311 52367052 54823716 56730973 59392359 62945748 68191227 78550578 79189812 82235574 90921636 94418622 113461946 117825867 118784718 135281551 136382454 141627933 157101156 164471148 170192919 178177077 188837244 204573681 226923892 235651734 237569436 270563102 272764908 283255866 340385838 353477601 356354154 405844653 409147362 424883799 471303468 510578757 534531231 541126204 566511732 613721043 680771676 706955202 712708308 811689306 818294724 849767598 1021157514 1060432803 1069062462 1217533959 1227442086 1274651397 1413910404 1531736271 1623378612 1699535196 1758660163 1841163129 2042315028 2120865606 2138124924 2435067918 2454884172 2549302794 3063472542 3181298409 3517320326 3652601877 3682326258 4241731212 4595208813 4870135836 5098605588 5275980489 5523489387 6126945084 6362596818 7034640652 7305203754 7364652516 9190417626 9543895227 10551960978 10957805631 11046978774 12725193636 13785626439 14610407508 15827941467 16570468161 18380835252 19087790454 21103921956 21915611262 22093957548 27571252878 28631685681 31655882934 32873416893 33140936322 38175580908 41356879317 43831222524 47483824401 55142505756 57263371362 63311765868 65746833786 66281872644 82713758634 85895057043 94967648802 98620250679 114526742724 124070637951 131493667572 142451473203 165427517268 171790114086 189935297604 197240501358 248141275902 284902946406 295860752037 343580228172 372211913853 394481002716 427354419609 496282551804 569805892812 591721504074 744423827706 854708839218 887582256111 1116635741559 1183443008148 1282063258827 1488847655412 1709417678436 1775164512222 2233271483118 2564126517654 2662746768333 3550329024444 3846189776481 4466542966236 5128253035308 5325493536666 7692379552962 10650987073332 11538569329443 15384759105924 23077138658886 34615707988329 46154277317772 69231415976658 138462831953316
- Sum of all divisors σ(n): 404237013083904
- Sum of proper divisors (its aliquot sum) s(n): 265774181130588
- 138462831953316 is an abundant number, because the sum of its proper divisors (265774181130588) is greater than itself. Its abundance is 127311349177272
Bases of 138462831953316
- Binary: 111110111101110011000111110100111000101101001002
- Hexadecimal: 0x7DEE63E9C5A4
- Base-36: 1D2WY35290
Squares and roots of 138462831953316
- 138462831953316 squared (1384628319533162) is 19171955832532226304003395856
- 138462831953316 cubed (1384628319533163) is 2654603298656306199231268675062729659858496
-
The
square root of 138462831953316 is 11767023.0709944647 -
The
cube root of 138462831953316 is 51734.1998739801
Scales and comparisons
How big is 138462831953316?- 138,462,831,953,316 seconds is equal to 4,402,689 years, 39 weeks, 4 days, 12 hours, 48 minutes, 36 seconds.
-
To count from 1 to 138,462,831,953,316 would take you about eleven million, six thousand, seven hundred twenty-four 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 138462831953316 cubic inches would be around 4311.2 feet tall.
Recreational maths with 138462831953316
- 138462831953316 backwards is 613359138264831
- The number of decimal digits it has is: 15
- The sum of 138462831953316's digits is 63
- More coming soon!
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