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15315055452144 = 2432717893735729
BaseRepresentation
bin1101111011011101000001…
…1100001001111111110000
32000020002211112202121201100
43132313100130021333300
54001410213143432034
652323350033204400
73140322231304440
oct336672034117760
960202745677640
1015315055452144
1149750955a3908
1218741b1100700
13871285211346
143ad377354120
151b85a693d099
hexdedd0709ff0

15315055452144 has 120 divisors (see below), whose sum is σ = 51865271883360. Its totient is φ = 4118334234624.

The previous prime is 15315055452113. The next prime is 15315055452149. The reversal of 15315055452144 is 44125455051351.

15315055452144 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 5 + 0 + 55 + 452 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 15315055452144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15315055452149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446850729 + ... + 446885000.

It is an arithmetic number, because the mean of its divisors is an integer number (432210599028).

Almost surely, 215315055452144 is an apocalyptic number.

15315055452144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

15315055452144 is an abundant number, since it is smaller than the sum of its proper divisors (36550216431216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15315055452144 is a wasteful number, since it uses less digits than its factorization.

15315055452144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893735767 (or 893735758 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 15315055452144 in words is "fifteen trillion, three hundred fifteen billion, fifty-five million, four hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8568 17136 893735729 1787471458 2681207187 3574942916 5362414374 6256150103 7149885832 8043621561 10724828748 12512300206 14299771664 15193507393 16087243122 18768450309 21449657496 25024600412 30387014786 32174486244 37536900618 42899314992 45580522179 50049200824 56305350927 60774029572 64348972488 75073801236 91161044358 100098401648 106354551751 112610701854 121548059144 128697944976 136741566537 150147602472 182322088716 212709103502 225221403708 243096118288 273483133074 300295204944 319063655253 364644177432 425418207004 450442807416 546966266148 638127310506 729288354864 850836414008 900885614832 957190965759 1093932532296 1276254621012 1701672828016 1914381931518 2187865064592 2552509242024 3828763863036 5105018484048 7657527726072 15315055452144