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14700412368 = 2432102086197
BaseRepresentation
bin11011011000011011…
…00111110111010000
31101221111102022201100
431230031213313100
5220101301143433
610430412504400
71030201305045
oct155415476720
941844368640
1014700412368
116263aaa434
122a2317b100
131503763b75
149d651b1cc
155b0887b13
hex36c367dd0

14700412368 has 30 divisors (see below), whose sum is σ = 41140737794. Its totient is φ = 4900137408.

The previous prime is 14700412367. The next prime is 14700412369. The reversal of 14700412368 is 86321400741.

14700412368 is a `hidden beast` number, since 1 + 470 + 0 + 4 + 123 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (14700412367) and next prime (14700412369).

It can be written as a sum of positive squares in only one way, i.e., 14648745024 + 51667344 = 121032^2 + 7188^2 .

It is a super-2 number, since 2×147004123682 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14700412367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51042955 + ... + 51043242.

Almost surely, 214700412368 is an apocalyptic number.

14700412368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14700412368 is an abundant number, since it is smaller than the sum of its proper divisors (26440325426).

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

14700412368 is a wasteful number, since it uses less digits than its factorization.

14700412368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102086211 (or 102086202 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 14700412368 in words is "fourteen billion, seven hundred million, four hundred twelve thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 102086197 204172394 306258591 408344788 612517182 816689576 918775773 1225034364 1633379152 1837551546 2450068728 3675103092 4900137456 7350206184 14700412368