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42364114635321 = 32291075632694421
BaseRepresentation
bin10011010000111101010100…
…00000010000101000111001
312112222222011222200211022200
421220132222000100220321
521023043201321312241
6230033450001340413
711631464152634253
oct1150365200205071
9175888158624280
1042364114635321
111255357a310676
124902548337709
131a83bc39a546b
14a666111d4cd3
154d6ec3e774b6
hex2687aa010a39

42364114635321 has 48 divisors (see below), whose sum is σ = 64007826816960. Its totient is φ = 26966014024320.

The previous prime is 42364114635313. The next prime is 42364114635361. The reversal of 42364114635321 is 12353641146324.

42364114635321 is a `hidden beast` number, since 4 + 2 + 3 + 6 + 4 + 1 + 1 + 4 + 635 + 3 + 2 + 1 = 666.

It is not a de Polignac number, because 42364114635321 - 23 = 42364114635313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42364114635361) 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, 14375691 + ... + 17070111.

It is an arithmetic number, because the mean of its divisors is an integer number (1333496392020).

Almost surely, 242364114635321 is an apocalyptic number.

It is an amenable number.

42364114635321 is a deficient number, since it is larger than the sum of its proper divisors (21643712181639).

42364114635321 is a wasteful number, since it uses less digits than its factorization.

42364114635321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695126 (or 2695123 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 42364114635321 in words is "forty-two trillion, three hundred sixty-four billion, one hundred fourteen million, six hundred thirty-five thousand, three hundred twenty-one".

Divisors: 1 3 9 29 87 107 261 321 563 963 1689 3103 5067 9309 16327 27927 48981 60241 146943 180723 542169 1746989 2694421 5240967 8083263 15722901 24249789 78138209 234414627 288303047 703243881 864909141 1516959023 2594727423 4550877069 8360788363 13652631207 25082365089 43991811667 75247095267 131975435001 162314615461 395926305003 486943846383 1460831539149 4707123848369 14121371545107 42364114635321