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42031430415 = 33513127188579
BaseRepresentation
bin100111001001010001…
…001011101100001111
311000111020112220011000
4213021101023230033
51142040021233130
631150423231343
73015402156312
oct471121135417
9130436486130
1042031430415
1116909712857
1281902a8553
133c6abb29b0
14206a2c8979
151160007260
hex9c944bb0f

42031430415 has 64 divisors (see below), whose sum is σ = 81104486400. Its totient is φ = 20529355392.

The previous prime is 42031430381. The next prime is 42031430443. The reversal of 42031430415 is 51403413024.

It is a happy number.

42031430415 is a `hidden beast` number, since 4 + 203 + 1 + 43 + 0 + 415 = 666.

42031430415 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42031430415 - 26 = 42031430351 is a prime.

It is a super-2 number, since 2×420314304152 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128596 + ... + 317174.

It is an arithmetic number, because the mean of its divisors is an integer number (1267257600).

Almost surely, 242031430415 is an apocalyptic number.

42031430415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42031430415 is a deficient number, since it is larger than the sum of its proper divisors (39073055985).

42031430415 is a wasteful number, since it uses less digits than its factorization.

42031430415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188733 (or 188727 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 42031430415 its reverse (51403413024), we get a palindrome (93434843439).

The spelling of 42031430415 in words is "forty-two billion, thirty-one million, four hundred thirty thousand, four hundred fifteen".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 127 135 195 351 381 585 635 1143 1651 1755 1905 3429 4953 5715 8255 14859 17145 24765 44577 74295 188579 222885 565737 942895 1697211 2451527 2828685 5091633 7354581 8486055 12257635 22063743 23949533 25458165 36772905 66191229 71848599 110318715 119747665 215545797 311343929 330956145 359242995 646637391 934031787 1077728985 1556719645 2802095361 3233186955 4670158935 8406286083 14010476805 42031430415