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342443123332401 = 37213659271920749
BaseRepresentation
bin100110111011100110100000…
…0101110001101010100110001
31122220111020120001110002012210
41031313031000232031110301
5324341042004033114101
63212152111000242333
7132062461554320100
oct11567150056152461
91586436501402183
10342443123332401
119a127349713663
12324a79311703a9
131191032ba2b6c0
14607c49ac80037
15298cae8c407d6
hex1377340b8d531

342443123332401 has 48 divisors (see below), whose sum is σ = 572860882440000. Its totient is φ = 180355243001472.

The previous prime is 342443123332357. The next prime is 342443123332487. The reversal of 342443123332401 is 104233321344243.

It is not a de Polignac number, because 342443123332401 - 29 = 342443123331889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 342443123332401.

It is not an unprimeable number, because it can be changed into a prime (342443123332501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134701026 + ... + 137219723.

It is an arithmetic number, because the mean of its divisors is an integer number (11934601717500).

Almost surely, 2342443123332401 is an apocalyptic number.

It is an amenable number.

342443123332401 is a deficient number, since it is larger than the sum of its proper divisors (230417759107599).

342443123332401 is a wasteful number, since it uses less digits than its factorization.

342443123332401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271921438 (or 271921431 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 39.

Adding to 342443123332401 its reverse (104233321344243), we get a palindrome (446676444676644).

The spelling of 342443123332401 in words is "three hundred forty-two trillion, four hundred forty-three billion, one hundred twenty-three million, three hundred thirty-two thousand, four hundred one".

Divisors: 1 3 7 13 21 39 49 91 147 273 637 659 1911 1977 4613 8567 13839 25701 32291 59969 96873 179907 419783 1259349 271920749 815762247 1903445243 3534969737 5710335729 10604909211 13324116701 24744788159 39972350103 74234364477 173213517113 179195773591 519640551339 537587320773 1254370415137 2329545056683 3763111245411 6988635170049 8780592905959 16306815396781 26341778717877 48920446190343 114147707777467 342443123332401