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1040153525432 = 2372171394912287
BaseRepresentation
bin11110010001011011111…
…10110011110010111000
310200102211002100212021122
433020231332303302320
5114020213300303212
62113501231524412
7135101655041600
oct17105576636270
93612732325248
101040153525432
1137114360395a
12149709389708
13771170b2848
14384b5179c00
151c0cb977272
hexf22dfb3cb8

1040153525432 has 192 divisors, whose sum is σ = 2425424601600. Its totient is φ = 415509212160.

The previous prime is 1040153525423. The next prime is 1040153525491. The reversal of 1040153525432 is 2345253510401.

It is a junction number, because it is equal to n+sod(n) for n = 1040153525392 and 1040153525401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454810193 + ... + 454812479.

It is an arithmetic number, because the mean of its divisors is an integer number (12632419800).

Almost surely, 21040153525432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040153525432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212712300800).

1040153525432 is an abundant number, since it is smaller than the sum of its proper divisors (1385271076168).

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

1040153525432 is a wasteful number, since it uses less digits than its factorization.

1040153525432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 1040153525432 in words is "one trillion, forty billion, one hundred fifty-three million, five hundred twenty-five thousand, four hundred thirty-two".