131145088925145360
131,145,088,925,145,360 is an even composite number composed of seven prime numbers multiplied together.
What does the number 131145088925145360 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 320 divisors.
131145088925145360 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 131145088925145360:
24 × 3 × 5 × 13 × 19 × 137 × 16148168401
(2 × 2 × 2 × 2 × 3 × 5 × 13 × 19 × 137 × 16148168401)See below for interesting mathematical facts about the number 131145088925145360 from the Numbermatics database.
Names of 131145088925145360
- Cardinal: 131145088925145360 can be written as One hundred thirty-one quadrillion, one hundred forty-five trillion, eighty-eight billion, nine hundred twenty-five million, one hundred forty-five thousand, three hundred sixty.
Scientific notation
- Scientific notation: 1.3114508892514536 × 1017
Factors of 131145088925145360
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 16148168580
Divisors of 131145088925145360
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 137 152 156 190 195 208 228 240 247 260 274 285 304 312 380 390 411 456 494 520 548 570 624 685 741 760 780 822 912 988 1040 1096 1140 1235 1370 1482 1520 1560 1644 1781 1976 2055 2192 2280 2470 2603 2740 2964 3120 3288 3562 3705 3952 4110 4560 4940 5206 5343 5480 5928 6576 7124 7410 7809 8220 8905 9880 10412 10686 10960 11856 13015 14248 14820 15618 16440 17810 19760 20824 21372 26030 26715 28496 29640 31236 32880 33839 35620 39045 41648 42744 52060 53430 59280 62472 67678 71240 78090 85488 101517 104120 106860 124944 135356 142480 156180 169195 203034 208240 213720 270712 312360 338390 406068 427440 507585 541424 624720 676780 812136 1015170 1353560 1624272 2030340 2707120 4060680 8121360 16148168401 32296336802 48444505203 64592673604 80740842005 96889010406 129185347208 161481684010 193778020812 209926189213 242222526015 258370694416 306815199619 322963368020 387556041624 419852378426 484445052030 613630399238 629778567639 645926736040 775112083248 839704756852 920445598857 968890104060 1049630946065 1227260798476 1259557135278 1291853472080 1534075998095 1679409513704 1840891197714 1937780208120 2099261892130 2212299070937 2454521596952 2519114270556 3068151996190 3148892838195 3358819027408 3681782395428 3875560416240 3988597595047 4198523784260 4424598141874 4602227994285 4909043193904 5038228541112 6136303992380 6297785676390 6636897212811 7363564790856 7977195190094 8397047568520 8849196283748 9204455988570 10076457082224 11061495354685 11965792785141 12272607984760 12595571352780 13273794425622 14727129581712 15954390380188 16794095137040 17698392567496 18408911977140 19942987975235 22122990709370 23931585570282 24545215969520 25191142705560 26547588851244 28759887922181 31908780760376 33184486064055 35396785134992 36817823954280 39885975950470 42033682347803 44245981418740 47863171140564 50382285411120 53095177702488 57519775844362 59828963925705 63817561520752 66368972128110 73635647908560 79771951900940 84067364695606 86279663766543 88491962837480 95726342281128 106190355404976 115039551688724 119657927851410 126101047043409 132737944256220 143799439610905 159543903801880 168134729391212 172559327533086 176983925674960 191452684562256 210168411739015 230079103377448 239315855702820 252202094086818 265475888512440 287598879221810 319087807603760 336269458782424 345118655066172 420336823478030 431398318832715 460158206754896 478631711405640 504404188173636 530951777024880 546437870521439 575197758443620 630505235217045 672538917564848 690237310132344 840673646956060 862796637665430 957263422811280 1008808376347272 1092875741042878 1150395516887240 1261010470434090 1380474620264688 1639313611564317 1681347293912120 1725593275330860 2017616752694544 2185751482085756 2300791033774480 2522020940868180 2732189352607195 3278627223128634 3362694587824240 3451186550661720 4371502964171512 5044041881736360 5464378705214390 6557254446257268 6902373101323440 8196568057821585 8743005928343024 10088083763472720 10928757410428780 13114508892514536 16393136115643170 21857514820857560 26229017785029072 32786272231286340 43715029641715120 65572544462572680 131145088925145360
- Sum of all divisors σ(n): 464230128927640320
- Sum of proper divisors (its aliquot sum) s(n): 333085040002494960
- 131145088925145360 is an abundant number, because the sum of its proper divisors (333085040002494960) is greater than itself. Its abundance is 201939951077349600
Bases of 131145088925145360
- Binary: 1110100011110101111000011011101110110101110011001000100002
- Hexadecimal: 0x1D1EBC3776B9910
- Base-36: ZVB1Y4O6EXC
Squares and roots of 131145088925145360
- 131145088925145360 squared (1311450889251453602) is 17199034349184284155877297129529600
- 131145088925145360 cubed (1311450889251453603) is 2255568889150402498467994120985704959330428422656000
-
The
square root of 131145088925145360 is 362139598.6703820271 -
The
cube root of 131145088925145360 is 508062.7375721137
Scales and comparisons
How big is 131145088925145360?- 131,145,088,925,145,360 seconds is equal to 4,170,008,169 years, 22 weeks, 15 hours, 56 minutes.
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To count from 1 to 131,145,088,925,145,360 would take you about twelve billion, five hundred ten million, twenty-four thousand, five hundred eight 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 131145088925145360 cubic inches would be around 42338.6 feet tall.
Recreational maths with 131145088925145360
- 131145088925145360 backwards is 063541529880541131
- The number of decimal digits it has is: 18
- The sum of 131145088925145360's digits is 66
- More coming soon!
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