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14204002248 = 23321711604577
BaseRepresentation
bin11010011101001111…
…11101111111001000
31100122220100002001100
431032213331333020
5213042211032443
610305241021400
71011663012162
oct151647757710
940586302040
1014204002248
116029875137
122904a84860
131454967a77
1498a61b932
15581ecd3d3
hex34e9fdfc8

14204002248 has 48 divisors (see below), whose sum is σ = 40732068780. Its totient is φ = 4456157184.

The previous prime is 14204002247. The next prime is 14204002283. The reversal of 14204002248 is 84220040241.

14204002248 is a `hidden beast` number, since 14 + 2 + 0 + 400 + 2 + 248 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13433273604 + 770728644 = 115902^2 + 27762^2 .

It is a super-2 number, since 2×142040022482 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14204002243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5801065 + ... + 5803512.

Almost surely, 214204002248 is an apocalyptic number.

14204002248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14204002248 is an abundant number, since it is smaller than the sum of its proper divisors (26528066532).

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

14204002248 is a wasteful number, since it uses less digits than its factorization.

14204002248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11604606 (or 11604599 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 14204002248 its reverse (84220040241), we get a palindrome (98424042489).

The spelling of 14204002248 in words is "fourteen billion, two hundred four million, two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 11604577 23209154 34813731 46418308 69627462 92836616 104441193 139254924 197277809 208882386 278509848 394555618 417764772 591833427 789111236 835529544 1183666854 1578222472 1775500281 2367333708 3551000562 4734667416 7102001124 14204002248