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42057145546110 = 23254111397600419
BaseRepresentation
bin10011001000000001100010…
…01110000111010101111110
312111220121211210012101102100
421210000301032013111332
521003031013224433420
6225240441432405530
711600346162503352
oct1144006116072576
9174817753171370
1042057145546110
1112445376262512
124872b58b468a6
131a60c830a4336
14a558106a1462
154ce009a58190
hex26403138757e

42057145546110 has 48 divisors (see below), whose sum is σ = 112015616927760. Its totient is φ = 10941696401280.

The previous prime is 42057145546099. The next prime is 42057145546133. The reversal of 42057145546110 is 1164554175024.

42057145546110 is a `hidden beast` number, since 4 + 2 + 0 + 57 + 1 + 45 + 546 + 1 + 10 = 666.

It is a super-2 number, since 2×420571455461102 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5698796520 + ... + 5698803899.

It is an arithmetic number, because the mean of its divisors is an integer number (2333658685995).

Almost surely, 242057145546110 is an apocalyptic number.

42057145546110 is an abundant number, since it is smaller than the sum of its proper divisors (69958471381650).

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

42057145546110 is a wasteful number, since it uses less digits than its factorization.

42057145546110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11397600473 (or 11397600470 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 42057145546110 in words is "forty-two trillion, fifty-seven billion, one hundred forty-five million, five hundred forty-six thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 11397600419 22795200838 34192801257 56988002095 68385602514 102578403771 113976004190 170964006285 205156807542 341928012570 467301617179 512892018855 934603234358 1025784037710 1401904851537 2336508085895 2803809703074 4205714554611 4673016171790 7009524257685 8411429109222 14019048515370 21028572773055 42057145546110