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13431733434 = 2327810113159
BaseRepresentation
bin11001000001001011…
…11111110010111010
31021200002011202101200
430200211333302322
5210002010432214
610100452355030
7653564564460
oct144045776272
937602152350
1013431733434
115772955149
12272a315a76
131360974282
14915c30830
155392d2d09
hex32097fcba

13431733434 has 48 divisors (see below), whose sum is σ = 33266163840. Its totient is φ = 3836872800.

The previous prime is 13431733429. The next prime is 13431733459. The reversal of 13431733434 is 43433713431.

13431733434 is a `hidden beast` number, since 1 + 3 + 4 + 317 + 334 + 3 + 4 = 666.

It is a super-2 number, since 2×134317334342 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1014147 + ... + 1027305.

It is an arithmetic number, because the mean of its divisors is an integer number (693045080).

Almost surely, 213431733434 is an apocalyptic number.

13431733434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13431733434 is an abundant number, since it is smaller than the sum of its proper divisors (19834430406).

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

13431733434 is a wasteful number, since it uses less digits than its factorization.

13431733434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21275 (or 21272 counting only the distinct ones).

The product of its digits is 108864, while the sum is 36.

The spelling of 13431733434 in words is "thirteen billion, four hundred thirty-one million, seven hundred thirty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 8101 13159 16202 24303 26318 39477 48606 56707 72909 78954 92113 113414 118431 145818 170121 184226 236862 276339 340242 510363 552678 829017 1020726 1658034 106601059 213202118 319803177 639606354 746207413 959409531 1492414826 1918819062 2238622239 4477244478 6715866717 13431733434