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134406556401 = 3133446321959
BaseRepresentation
bin111110100101101000…
…0010100101011110001
3110211221000122111121110
41331023100110223301
54200231034301101
6141425010543533
712465501610365
oct1751320245361
9424830574543
10134406556401
1152001aa7187
1222070597ba9
13c89cac1b60
14671080d2a5
153769b44cd6
hex1f4b414af1

134406556401 has 8 divisors (see below), whose sum is σ = 192994029760. Its totient is φ = 82711726992.

The previous prime is 134406556399. The next prime is 134406556411. The reversal of 134406556401 is 104655604431.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 134406556401 - 21 = 134406556399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 3446321959 = 134406556401 / (1 + 3 + 4 + 4 + 0 + 6 + 5 + 5 + 6 + 4 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 134406556401.

It is not an unprimeable number, because it can be changed into a prime (134406556411) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1723160941 + ... + 1723161018.

It is an arithmetic number, because the mean of its divisors is an integer number (24124253720).

Almost surely, 2134406556401 is an apocalyptic number.

It is an amenable number.

134406556401 is a deficient number, since it is larger than the sum of its proper divisors (58587473359).

134406556401 is a wasteful number, since it uses less digits than its factorization.

134406556401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446321975.

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 134406556401 in words is "one hundred thirty-four billion, four hundred six million, five hundred fifty-six thousand, four hundred one".

Divisors: 1 3 13 39 3446321959 10338965877 44802185467 134406556401