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232403142114144 = 2532806955354563
BaseRepresentation
bin110100110101111010010010…
…101110101111101101100000
31010110212112010120011222022100
4310311322102232233231200
5220430143113340123034
62142140310220210400
766644400340652541
oct6465722256575540
91113775116158270
10232403142114144
1168061689a93431
1222095352099a00
139c8a6a3552761
14415652d0604c8
151bd0514506099
hexd35e92bafb60

232403142114144 has 36 divisors (see below), whose sum is σ = 660896435387916. Its totient is φ = 77467714037952.

The previous prime is 232403142114113. The next prime is 232403142114191. The reversal of 232403142114144 is 441411241304232.

232403142114144 is a `hidden beast` number, since 2 + 3 + 24 + 0 + 3 + 1 + 4 + 211 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2324031421141442 (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 232403142114099 and 232403142114108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 403477676994 + ... + 403477677569.

It is an arithmetic number, because the mean of its divisors is an integer number (18358234316331).

Almost surely, 2232403142114144 is an apocalyptic number.

232403142114144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232403142114144 is an abundant number, since it is smaller than the sum of its proper divisors (428493293273772).

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

232403142114144 is a wasteful number, since it uses less digits than its factorization.

232403142114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806955354579 (or 806955354568 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 232403142114144 its reverse (441411241304232), we get a palindrome (673814383418376).

The spelling of 232403142114144 in words is "two hundred thirty-two trillion, four hundred three billion, one hundred forty-two million, one hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 806955354563 1613910709126 2420866063689 3227821418252 4841732127378 6455642836504 7262598191067 9683464254756 12911285673008 14525196382134 19366928509512 25822571346016 29050392764268 38733857019024 58100785528536 77467714038048 116201571057072 232403142114144