48137135506460
48,137,135,506,460 is an even composite number composed of seven prime numbers multiplied together.
48137135506460 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 48137135506460:
22 × 5 × 72 × 11 × 132 × 16381 × 1613
(2 × 2 × 5 × 7 × 7 × 11 × 13 × 13 × 16381 × 1613)See below for interesting mathematical facts about the number 48137135506460 from the Numbermatics database.
Names of 48137135506460
- Cardinal: 48137135506460 can be written as Forty-eight trillion, one hundred thirty-seven billion, one hundred thirty-five million, five hundred six thousand, four hundred sixty.
Scientific notation
- Scientific notation: 4.813713550646 × 1013
Factors of 48137135506460
Divisors of 48137135506460
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 169 182 196 220 245 260 286 308 338 364 385 455 490 539 572 637 676 715 770 845 910 980 1001 1078 1183 1274 1430 1540 1613 1690 1820 1859 2002 2156 2366 2548 2695 2860 3185 3226 3380 3718 4004 4732 5005 5390 5915 6370 6452 7007 7436 8065 8281 9295 10010 10780 11291 11830 12740 13013 14014 16130 16381 16562 17743 18590 20020 20969 22582 23660 26026 28028 32260 32762 33124 35035 35486 37180 41405 41938 45164 52052 56455 65065 65524 70070 70972 79037 81905 82810 83876 88715 91091 104845 112910 114667 124201 130130 140140 146783 158074 163810 165620 177430 180191 182182 209690 212953 225820 229334 230659 248402 260260 272597 293566 316148 327620 354860 360382 364364 395185 419380 425906 455455 458668 461318 496804 545194 573335 587132 621005 720764 733915 790370 802669 851812 869407 900955 910910 922636 1027481 1064765 1090388 1146670 1153295 1242010 1261337 1362985 1467830 1490671 1580740 1605338 1614613 1738814 1801910 1821820 1908179 2054962 2129530 2293340 2306590 2342483 2484020 2522674 2725970 2768389 2935660 2981342 2998567 3210676 3229226 3477628 3603820 3816358 4013345 4109924 4259060 4347035 4613180 4684966 5045348 5137405 5451940 5536778 5962684 5997134 6306685 6458452 7453355 7632716 8026690 8073065 8694070 8829359 9369932 9540895 10274810 10434697 11073556 11302291 11712415 11994268 12613370 13357253 13841945 14906710 14992835 16053380 16146130 16397381 17388140 17658718 19081790 19378723 20549620 20869394 20989969 22604582 23424830 25226740 26422553 26714506 27683890 29813420 29985670 30452279 32292260 32794762 35317436 38163580 38757446 41738788 41979938 44146795 45209164 46849660 52173485 52845106 53429012 55367780 56511455 59971340 60904558 65589524 66786265 77514892 81986905 83959876 88293590 96893615 104346970 104949845 105690212 113022910 114781667 121809116 132112765 133572530 135651061 146929783 152261395 163973810 176587180 184957871 193787230 208693940 209899690 213165953 226045820 229563334 264225530 267145060 271302122 290648083 293859566 304522790 327947620 343493189 369915742 387574460 419799380 426331906 459126668 528451060 542604244 573908335 581296166 587719132 609045580 678255305 686986378 734648915 739831484 852663812 924789355 1065829765 1147816670 1162592332 1294705097 1356510610 1373972756 1453240415 1469297830 1492161671 1717465945 1849578710 2034536581 2131659530 2295633340 2404452323 2589410194 2713021220 2906480830 2938595660 2984323342 3434931890 3699157420 3778425079 4069073162 4263319060 4465411457 4808904646 5178820388 5812961660 5968646684 6473525485 6869863780 7460808355 7556850158 8138146324 8930822914 9617809292 10172682905 12022261615 12947050970 14241756067 14921616710 15113700316 16831166261 17861645828 18892125395 20345365810 22327057285 24044523230 25894101940 26448975553 28483512134 29843233420 31257880199 33662332522 37784250790 40690731620 44654114570 48089046460 49119526027 52897951106 56967024268 62515760398 67324665044 71208780335 75568501580 84155831305 89308229140 98239052054 105795902212 125031520796 132244877765 142417560670 156289400995 168311662610 185142828871 196478104108 218805161393 245597630135 264489755530 284835121340 312578801990 336623325220 343836682189 370285657742 437610322786 491195260270 528979511060 625157603980 687673364378 740571315484 875220645572 925714144355 982390520540 1094025806965 1375346728756 1719183410945 1851428288710 2188051613930 2406856775323 3438366821890 3702856577420 4376103227860 4813713550646 6876733643780 9627427101292 12034283876615 24068567753230 48137135506460
- Sum of all divisors σ(n): 139003883518752
- Sum of proper divisors (its aliquot sum) s(n): 90866748012292
- 48137135506460 is an abundant number, because the sum of its proper divisors (90866748012292) is greater than itself. Its abundance is 42729612505832
Bases of 48137135506460
- Binary: 10101111000111110011001101110011000100000111002
- Hexadecimal: 0x2BC7CCDCC41C
- Base-36: H29W7M718
Squares and roots of 48137135506460
- 48137135506460 squared (481371355064602) is 2317183814767292040701731600
- 48137135506460 cubed (481371355064603) is 111542591284829045374727475696764986136000
-
The
square root of 48137135506460 is 6938093.0742142685 -
The
cube root of 48137135506460 is 36376.9889144191
Scales and comparisons
How big is 48137135506460?- 48,137,135,506,460 seconds is equal to 1,530,612 years, 4 days, 1 hour, 34 minutes, 20 seconds.
-
To count from 1 to 48,137,135,506,460 would take you about three million, eight hundred twenty-six thousand, five hundred thirty 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 48137135506460 cubic inches would be around 3031.4 feet tall.
Recreational maths with 48137135506460
- 48137135506460 backwards is 06460553173184
- The number of decimal digits it has is: 14
- The sum of 48137135506460's digits is 53
- More coming soon!
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