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42342010410132 = 22321816498159977
BaseRepresentation
bin10011010000010100001000…
…11111010101010010010100
312112220212010111200211202200
421220022010133111102110
521022212414131111012
6230015352343204500
711630052330055116
oct1150120437252224
9175825114624680
1042342010410132
1112545167028074
1248ba1b9746730
131a81ab0390784
14a655156833b6
154d662d60c3dc
hex2682847d5494

42342010410132 has 36 divisors (see below), whose sum is σ = 107622525555636. Its totient is φ = 14036025548160.

The previous prime is 42342010410101. The next prime is 42342010410149. The reversal of 42342010410132 is 23101401024324.

42342010410132 is a `hidden beast` number, since 4 + 2 + 3 + 420 + 104 + 1 + 0 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10982503208196 + 31359507201936 = 3313986^2 + 5599956^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 42342010410096 and 42342010410105.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3249073473 + ... + 3249086504.

Almost surely, 242342010410132 is an apocalyptic number.

It is an amenable number.

42342010410132 is an abundant number, since it is smaller than the sum of its proper divisors (65280515145504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42342010410132 is a wasteful number, since it uses less digits than its factorization.

42342010410132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498160168 (or 6498160163 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42342010410132 its reverse (23101401024324), we get a palindrome (65443411434456).

The spelling of 42342010410132 in words is "forty-two trillion, three hundred forty-two billion, ten million, four hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1086 1629 2172 3258 6516 6498159977 12996319954 19494479931 25992639908 38988959862 58483439793 77977919724 116966879586 233933759172 1176166955837 2352333911674 3528500867511 4704667823348 7057001735022 10585502602533 14114003470044 21171005205066 42342010410132