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13442315481 = 327255212
BaseRepresentation
bin11001000010011100…
…10111010011011001
31021200211002101020100
430201032113103121
5210012213043411
610101511250013
7654053540100
oct144116272331
937624071210
1013442315481
115778922641
122731979909
131362c0aa3a
149173c7037
1553a1c3456
hex3213974d9

13442315481 has 27 divisors (see below), whose sum is σ = 22590839583. Its totient is φ = 7679931840.

The previous prime is 13442315461. The next prime is 13442315483. The reversal of 13442315481 is 18451324431.

The square root of 13442315481 is 115941.

It is a perfect power (a square), and thus also a powerful number.

13442315481 is a `hidden beast` number, since 1 + 3 + 4 + 423 + 154 + 81 = 666.

13442315481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3783357081 + 9658958400 = 61509^2 + 98280^2 .

It is not a de Polignac number, because 13442315481 - 211 = 13442313433 is a prime.

It is a super-2 number, since 2×134423154812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13442315483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2432001 + ... + 2437521.

Almost surely, 213442315481 is an apocalyptic number.

13442315481 is the 115941-st square number.

13442315481 is the 57971-st centered octagonal number.

It is an amenable number.

13442315481 is a deficient number, since it is larger than the sum of its proper divisors (9148524102).

13442315481 is an frugal number, since it uses more digits than its factorization.

13442315481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11062 (or 5531 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Multiplying 13442315481 by its sum of digits (36), we get a square (483923357316 = 6956462).

The spelling of 13442315481 in words is "thirteen billion, four hundred forty-two million, three hundred fifteen thousand, four hundred eighty-one".

Divisors: 1 3 7 9 21 49 63 147 441 5521 16563 38647 49689 115941 270529 347823 811587 2434761 30481441 91444323 213370087 274332969 640110261 1493590609 1920330783 4480771827 13442315481