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232540121223432 = 233211293611264171
BaseRepresentation
bin110100110111111001110111…
…010100100101000100001000
31010111100121200212112201001100
4310313321313110211010020
5220434414132013122212
62142323242410021400
766660316661120361
oct6467716724450410
91114317625481040
10232540121223432
1168104791138680
12220b7a00117860
139c9a5932c7549
14415d0053a8b68
151bd3d7ee08bdc
hexd37e77525108

232540121223432 has 48 divisors (see below), whose sum is σ = 687050358162480. Its totient is φ = 70466703400800.

The previous prime is 232540121223427. The next prime is 232540121223433. The reversal of 232540121223432 is 234322121045232.

232540121223432 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 4 + 0 + 1 + 212 + 2 + 3 + 432 = 666.

232540121223432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (232540121223433) 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, 146805631294 + ... + 146805632877.

It is an arithmetic number, because the mean of its divisors is an integer number (14313549128385).

Almost surely, 2232540121223432 is an apocalyptic number.

232540121223432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232540121223432 is an abundant number, since it is smaller than the sum of its proper divisors (454510236939048).

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

232540121223432 is a wasteful number, since it uses less digits than its factorization.

232540121223432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293611264194 (or 293611264187 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 232540121223432 its reverse (234322121045232), we get a palindrome (466862242268664).

The spelling of 232540121223432 in words is "two hundred thirty-two trillion, five hundred forty billion, one hundred twenty-one million, two hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 293611264171 587222528342 880833792513 1174445056684 1761667585026 2348890113368 2642501377539 3229723905881 3523335170052 5285002755078 6459447811762 7046670340104 9689171717643 10570005510156 12918895623524 19378343435286 21140011020312 25837791247048 29067515152929 38756686870572 58135030305858 77513373741144 116270060611716 232540121223432