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134406514561 = 1122137519793
BaseRepresentation
bin111110100101101000…
…0001010011110000001
3110211221000120101012211
41331023100022132001
54200231031431221
6141425010022121
712465501344404
oct1751320123601
9424830511184
10134406514561
1152001a78800
1222070577941
13c89caa8ab7
1467107dbd3b
153769b376e1
hex1f4b40a781

134406514561 has 12 divisors (see below), whose sum is σ = 147805503076. Its totient is φ = 122130328320.

The previous prime is 134406514547. The next prime is 134406514601. The reversal of 134406514561 is 165415604431.

It can be written as a sum of positive squares in 2 ways, for example, as 2677441536 + 131729073025 = 51744^2 + 362945^2 .

It is not a de Polignac number, because 134406514561 - 219 = 134405990273 is a prime.

It is a super-2 number, since 2×1344065145612 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134406514531) 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 11 ways as a sum of consecutive naturals, for example, 1320 + ... + 518473.

Almost surely, 2134406514561 is an apocalyptic number.

134406514561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

134406514561 is a deficient number, since it is larger than the sum of its proper divisors (13398988515).

134406514561 is a wasteful number, since it uses less digits than its factorization.

134406514561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521952 (or 521941 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 134406514561 in words is "one hundred thirty-four billion, four hundred six million, five hundred fourteen thousand, five hundred sixty-one".

Divisors: 1 11 121 2137 23507 258577 519793 5717723 62894953 1110797641 12218774051 134406514561