13157312572419120
13,157,312,572,419,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 13157312572419120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 320 divisors.
13157312572419120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 13157312572419120:
24 × 33 × 5 × 7 × 19 × 45799612129
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 19 × 45799612129)See below for interesting mathematical facts about the number 13157312572419120 from the Numbermatics database.
Names of 13157312572419120
- Cardinal: 13157312572419120 can be written as Thirteen quadrillion, one hundred fifty-seven trillion, three hundred twelve billion, five hundred seventy-two million, four hundred nineteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.315731257241912 × 1016
Factors of 13157312572419120
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 45799612165
Divisors of 13157312572419120
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 27 28 30 35 36 38 40 42 45 48 54 56 57 60 63 70 72 76 80 84 90 95 105 108 112 114 120 126 133 135 140 144 152 168 171 180 189 190 210 216 228 240 252 266 270 280 285 304 315 336 342 360 378 380 399 420 432 456 504 513 532 540 560 570 630 665 684 720 756 760 798 840 855 912 945 1008 1026 1064 1080 1140 1197 1260 1330 1368 1512 1520 1596 1680 1710 1890 1995 2052 2128 2160 2280 2394 2520 2565 2660 2736 3024 3192 3420 3591 3780 3990 4104 4560 4788 5040 5130 5320 5985 6384 6840 7182 7560 7980 8208 9576 10260 10640 11970 13680 14364 15120 15960 17955 19152 20520 23940 28728 31920 35910 41040 47880 57456 71820 95760 143640 287280 45799612129 91599224258 137398836387 183198448516 228998060645 274797672774 320597284903 366396897032 412196509161 457996121290 549595345548 641194569806 686994181935 732793794064 824393018322 870192630451 915992242580 961791854709 1099190691096 1236589527483 1282389139612 1373988363870 1602986424515 1648786036644 1740385260902 1831984485160 1923583709418 2060982545805 2198381382192 2473179054966 2564778279224 2610577891353 2747976727740 2885375564127 3205972849030 3297572073288 3480770521804 3663968970320 3847167418836 4121965091610 4350963152255 4808959273545 4946358109932 5129556558448 5221155782706 5495953455480 5770751128254 6091348413157 6182947637415 6411945698060 6595144146576 6961541043608 7694334837672 7831733674059 8243930183220 8656126692381 8701926304510 9617918547090 9892716219864 10442311565412 10991906910960 11541502256508 12182696826314 12365895274830 12823891396120 13052889456765 13923082087216 14426877820635 15388669675344 15663467348118 16487860366440 17312253384762 17403852609020 18274045239471 19235837094180 19785432439728 20884623130824 23083004513016 23495201022177 24365393652628 24731790549660 25647782792240 26105778913530 28853755641270 30456742065785 31326934696236 32975720732880 34624506769524 34807705218040 36548090478942 38471674188360 39158668370295 41769246261648 43280633461905 46166009026032 46990402044354 48730787305256 49463581099320 52211557827060 54822135718413 57707511282540 60913484131570 62653869392472 69249013539048 69615410436080 73096180957884 76943348376720 78317336740590 86561266923810 91370226197355 93980804088708 97461574610512 98927162198640 104423115654120 109644271436826 115415022565080 117476005110885 121826968263140 125307738784944 138498027078096 146192361915768 156634673481180 164466407155239 173122533847620 182740452394710 187961608177416 208846231308240 219288542873652 230830045130160 234952010221770 243653936526280 274110678592065 292384723831536 313269346962360 328932814310478 346245067695240 365480904789420 375923216354832 438577085747304 469904020443540 487307873052560 548221357184130 626538693924720 657865628620956 692490135390480 730961809578840 822332035776195 877154171494608 939808040887080 1096442714368260 1315731257241912 1461923619157680 1644664071552390 1879616081774160 2192885428736520 2631462514483824 3289328143104780 4385770857473040 6578656286209560 13157312572419120
- Sum of all divisors σ(n): 54519858279552000
- Sum of proper divisors (its aliquot sum) s(n): 41362545707132880
- 13157312572419120 is an abundant number, because the sum of its proper divisors (41362545707132880) is greater than itself. Its abundance is 28205233134713760
Bases of 13157312572419120
- Binary: 1011101011111010000001100011100001001111101100001100002
- Hexadecimal: 0x2EBE818E13EC30
- Base-36: 3LJVLY9VHO0
Squares and roots of 13157312572419120
- 13157312572419120 squared (131573125724191202) is 173114874128338240874528941574400
- 13157312572419120 cubed (131573125724191203) is 2277726509841538184171473041070039163349462528000
-
The
square root of 13157312572419120 is 114705329.3113232817 -
The
cube root of 13157312572419120 is 236078.1160325419
Scales and comparisons
How big is 13157312572419120?- 13,157,312,572,419,120 seconds is equal to 418,361,841 years, 29 weeks, 1 day, 22 hours, 12 minutes.
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To count from 1 to 13,157,312,572,419,120 would take you about one billion, two hundred fifty-five million, eighty-five thousand, five 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 13157312572419120 cubic inches would be around 19673.2 feet tall.
Recreational maths with 13157312572419120
- 13157312572419120 backwards is 02191427521375131
- 13157312572419120 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13157312572419120's digits is 54
- More coming soon!
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