13437728701152
13,437,728,701,152 is an even composite number composed of six prime numbers multiplied together.
What does the number 13437728701152 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
13437728701152 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13437728701152:
25 × 3 × 72 × 19 × 31 × 4850017
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 19 × 31 × 4850017)See below for interesting mathematical facts about the number 13437728701152 from the Numbermatics database.
Names of 13437728701152
- Cardinal: 13437728701152 can be written as Thirteen trillion, four hundred thirty-seven billion, seven hundred twenty-eight million, seven hundred one thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 1.3437728701152 × 1013
Factors of 13437728701152
Divisors of 13437728701152
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 31 32 38 42 48 49 56 57 62 76 84 93 96 98 112 114 124 133 147 152 168 186 196 217 224 228 248 266 294 304 336 372 392 399 434 456 496 532 588 589 608 651 672 744 784 798 868 912 931 992 1064 1176 1178 1302 1488 1519 1568 1596 1736 1767 1824 1862 2128 2352 2356 2604 2793 2976 3038 3192 3472 3534 3724 4123 4256 4557 4704 4712 5208 5586 6076 6384 6944 7068 7448 8246 9114 9424 10416 11172 12152 12369 12768 14136 14896 16492 18228 18848 20832 22344 24304 24738 28272 28861 29792 32984 36456 44688 48608 49476 56544 57722 65968 72912 86583 89376 98952 115444 131936 145824 173166 197904 230888 346332 395808 461776 692664 923552 1385328 2770656 4850017 9700034 14550051 19400068 29100102 33950119 38800136 58200204 67900238 77600272 92150323 101850357 116400408 135800476 150350527 155200544 184300646 203700714 232800816 237650833 271600952 276450969 300701054 368601292 407401428 451051581 465601632 475301666 543201904 552901938 601402108 645052261 712952499 737202584 814802856 902103162 950603332 1052453689 1086403808 1105803876 1202804216 1290104522 1425904998 1474405168 1629605712 1804206324 1901206664 1935156783 2104907378 2211607752 2405608432 2580209044 2851809996 2856660013 2948810336 3157361067 3259211424 3608412648 3802413328 3870313566 4209814756 4423215504 4515365827 4811216864 5160418088 5703619992 5713320026 6314722134 7216825296 7367175823 7604826656 7740627132 8419629512 8569980039 8846431008 9030731654 10320836176 11407239984 11426640052 12629444268 13546097481 14433650592 14734351646 15481254264 16839259024 17139960078 18061463308 19996620091 20641672352 22101527469 22814479968 22853280104 25258888536 27092194962 29468703292 30962508528 33678518048 34279920156 36122926616 39993240182 44203054938 45706560208 50517777072 54184389924 58937406584 59989860273 61925017056 68559840312 72245853232 79986480364 88406109876 91413120416 101035554144 108368779848 117874813168 119979720546 137119680624 139976340637 144491706464 159972960728 176812219752 216737559696 235749626336 239959441092 274239361248 279952681274 319945921456 353624439504 419929021911 433475119392 479918882184 559905362548 639891842912 707248879008 839858043822 959837764368 1119810725096 1679716087644 1919675528736 2239621450192 3359432175288 4479242900384 6718864350576 13437728701152
- Sum of all divisors σ(n): 44586021473280
- Sum of proper divisors (its aliquot sum) s(n): 31148292772128
- 13437728701152 is an abundant number, because the sum of its proper divisors (31148292772128) is greater than itself. Its abundance is 17710564070976
Bases of 13437728701152
- Binary: 110000111000101101110000101110111010111000002
- Hexadecimal: 0xC38B70BBAE0
- Base-36: 4RH7GPSYO
Squares and roots of 13437728701152
- 13437728701152 squared (134377287011522) is 180572552645764216926127104
- 13437728701152 cubed (134377287011523) is 2426484973328266331869164343167583223808
-
The
square root of 13437728701152 is 3665750.7690992851 -
The
cube root of 13437728701152 is 23774.3484079117
Scales and comparisons
How big is 13437728701152?- 13,437,728,701,152 seconds is equal to 427,278 years, 10 weeks, 5 days, 8 hours, 59 minutes, 12 seconds.
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To count from 1 to 13,437,728,701,152 would take you about one million, sixty-eight thousand, one hundred ninety-five 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 13437728701152 cubic inches would be around 1981.2 feet tall.
Recreational maths with 13437728701152
- 13437728701152 backwards is 25110782773431
- The number of decimal digits it has is: 14
- The sum of 13437728701152's digits is 51
- More coming soon!
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