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14913050148 = 22321736176737
BaseRepresentation
bin11011110001110001…
…10001011000100100
31102111022112102220200
431320320301120210
5221020220101043
610503450230500
71035362556213
oct157070613044
942438472820
1014913050148
116363034337
122a82425430
131538824539
14a1686d07a
155c438b7d3
hex378e31624

14913050148 has 72 divisors (see below), whose sum is σ = 39931301592. Its totient is φ = 4676616192.

The previous prime is 14913050147. The next prime is 14913050221. The reversal of 14913050148 is 84105031941.

14913050148 is a `hidden beast` number, since 14 + 9 + 130 + 501 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 523128384 + 14389921764 = 22872^2 + 119958^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14913050143) 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, 2210236 + ... + 2216972.

It is an arithmetic number, because the mean of its divisors is an integer number (554601411).

Almost surely, 214913050148 is an apocalyptic number.

14913050148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14913050148 is an abundant number, since it is smaller than the sum of its proper divisors (25018251444).

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

14913050148 is a wasteful number, since it uses less digits than its factorization.

14913050148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10381 (or 10376 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 14913050148 in words is "fourteen billion, nine hundred thirteen million, fifty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 3617 6737 7234 10851 13474 14468 20211 21702 26948 32553 40422 43404 60633 61489 65106 80844 114529 121266 122978 130212 184467 229058 242532 245956 343587 368934 458116 553401 687174 737868 1030761 1106802 1374348 2061522 2213604 4123044 24367729 48735458 73103187 97470916 146206374 219309561 292412748 414251393 438619122 828502786 877238244 1242754179 1657005572 2485508358 3728262537 4971016716 7456525074 14913050148