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14426255088 = 2433729164503
BaseRepresentation
bin11010110111101111…
…10010111011110000
31101020101112200122000
431123313302323300
5214021110130323
610343300414000
71020332100510
oct153367627360
941211480560
1014426255088
116133276a73
1229673a7300
13148ba13a1b
149abd53840
15596780e43
hex35bdf2ef0

14426255088 has 160 divisors (see below), whose sum is σ = 48956390400. Its totient is φ = 3979632384.

The previous prime is 14426255083. The next prime is 14426255089. The reversal of 14426255088 is 88055262441.

14426255088 is a `hidden beast` number, since 14 + 4 + 2 + 6 + 2 + 550 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14426255083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5445 + ... + 169947.

It is an arithmetic number, because the mean of its divisors is an integer number (305977440).

Almost surely, 214426255088 is an apocalyptic number.

14426255088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14426255088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24478195200).

14426255088 is an abundant number, since it is smaller than the sum of its proper divisors (34530135312).

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

14426255088 is a wasteful number, since it uses less digits than its factorization.

14426255088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164556 (or 164544 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 14426255088 in words is "fourteen billion, four hundred twenty-six million, two hundred fifty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 36 42 48 54 56 58 63 72 84 87 108 112 116 126 144 168 174 189 203 216 232 252 261 336 348 378 406 432 464 504 522 609 696 756 783 812 1008 1044 1218 1392 1512 1566 1624 1827 2088 2436 3024 3132 3248 3654 4176 4872 5481 6264 7308 9744 10962 12528 14616 21924 29232 43848 87696 164503 329006 493509 658012 987018 1151521 1316024 1480527 1974036 2303042 2632048 2961054 3454563 3948072 4441581 4606084 4770587 5922108 6909126 7896144 8883162 9212168 9541174 10363689 11844216 13818252 14311761 17766324 18424336 19082348 20727378 23688432 27636504 28623522 31091067 33394109 35532648 38164696 41454756 42935283 55273008 57247044 62182134 66788218 71065296 76329392 82909512 85870566 100182327 114494088 124364268 128805849 133576436 165819024 171741132 200364654 228988176 248728536 257611698 267152872 300546981 343482264 400729308 497457072 515223396 534305744 601093962 686964528 801458616 901640943 1030446792 1202187924 1602917232 1803281886 2060893584 2404375848 3606563772 4808751696 7213127544 14426255088