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132400441024401 = 3114012134576497
BaseRepresentation
bin11110000110101011100001…
…010000010101111110010001
3122100210100200101021212110210
4132012223201100111332101
5114323222100400240101
61145331531203514333
736613421232565134
oct3606534120257621
9570710611255423
10132400441024401
1139206791316590
1212a241139889a9
1358b5400931074
14249a30361421b
15104908ca387d6
hex786ae1415f91

132400441024401 has 8 divisors (see below), whose sum is σ = 192582459671904. Its totient is φ = 80242691529920.

The previous prime is 132400441024339. The next prime is 132400441024403. The reversal of 132400441024401 is 104420144004231.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 132400441024401 - 27 = 132400441024273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132400441024403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2006067288216 + ... + 2006067288281.

It is an arithmetic number, because the mean of its divisors is an integer number (24072807458988).

Almost surely, 2132400441024401 is an apocalyptic number.

132400441024401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132400441024401 is a deficient number, since it is larger than the sum of its proper divisors (60182018647503).

132400441024401 is a wasteful number, since it uses less digits than its factorization.

132400441024401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012134576511.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 132400441024401 its reverse (104420144004231), we get a palindrome (236820585028632).

The spelling of 132400441024401 in words is "one hundred thirty-two trillion, four hundred billion, four hundred forty-one million, twenty-four thousand, four hundred one".

Divisors: 1 3 11 33 4012134576497 12036403729491 44133480341467 132400441024401