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13271446314 = 2327257940841
BaseRepresentation
bin11000101110000101…
…00011001100101010
31021020220120022210200
430113002203030222
5204134442240224
610032525053030
7646610301210
oct142702431452
937226508720
1013271446314
1156a0427055
1226a46b7176
1313366b2c19
148dc828cb0
1552a1c05c9
hex3170a332a

13271446314 has 48 divisors (see below), whose sum is σ = 32876176320. Its totient is φ = 3790278720.

The previous prime is 13271446313. The next prime is 13271446319. The reversal of 13271446314 is 41364417231.

13271446314 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 14 + 4 + 631 + 4 = 666.

It is a super-2 number, since 2×132714463142 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13271446313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304534 + ... + 345374.

It is an arithmetic number, because the mean of its divisors is an integer number (684920340).

Almost surely, 213271446314 is an apocalyptic number.

13271446314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13271446314 is an abundant number, since it is smaller than the sum of its proper divisors (19604730006).

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

13271446314 is a wasteful number, since it uses less digits than its factorization.

13271446314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43435 (or 43432 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 13271446314 in words is "thirteen billion, two hundred seventy-one million, four hundred forty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 2579 5158 7737 15474 18053 23211 36106 40841 46422 54159 81682 108318 122523 162477 245046 285887 324954 367569 571774 735138 857661 1715322 2572983 5145966 105328939 210657878 315986817 631973634 737302573 947960451 1474605146 1895920902 2211907719 4423815438 6635723157 13271446314