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232540121223440 = 2459413089002673
BaseRepresentation
bin110100110111111001110111…
…010100100101000100010000
31010111100121200212112201001122
4310313321313110211010100
5220434414132013122230
62142323242410021412
766660316661120402
oct6467716724450420
91114317625481048
10232540121223440
1168104791138688
12220b7a00117868
139c9a5932c7554
14415d0053a8b72
151bd3d7ee08be5
hexd37e77525110

232540121223440 has 40 divisors (see below), whose sum is σ = 541230336516888. Its totient is φ = 92917200373760.

The previous prime is 232540121223433. The next prime is 232540121223467. The reversal of 232540121223440 is 44322121045232.

232540121223440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3727787839504 + 228812333383936 = 1930748^2 + 15126544^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2325401212234402 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 232540121223440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1544426057 + ... + 1544576616.

Almost surely, 2232540121223440 is an apocalyptic number.

232540121223440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232540121223440 is an abundant number, since it is smaller than the sum of its proper divisors (308690215293448).

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

232540121223440 is a wasteful number, since it uses less digits than its factorization.

232540121223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089003627 (or 3089003621 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 232540121223440 its reverse (44322121045232), we get a palindrome (276862242268672).

The spelling of 232540121223440 in words is "two hundred thirty-two trillion, five hundred forty billion, one hundred twenty-one million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 941 1882 3764 4705 7528 9410 15056 18820 37640 75280 3089002673 6178005346 12356010692 15445013365 24712021384 30890026730 49424042768 61780053460 123560106920 247120213840 2906751515293 5813503030586 11627006061172 14533757576465 23254012122344 29067515152930 46508024244688 58135030305860 116270060611720 232540121223440