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242044444131 = 37139920534013
BaseRepresentation
bin1110000101101011111…
…0010001110111100011
3212010202111022202002220
43201122332101313203
512431201334203011
6303105500242123
723326041554220
oct3413276216743
9763674282086
10242044444131
1193717862396
123aab0240343
1319a94b0a399
14ba01dd6947
15646969c506
hex385af91de3

242044444131 has 32 divisors (see below), whose sum is σ = 369365068800. Its totient is φ = 138110500224.

The previous prime is 242044444099. The next prime is 242044444171. The reversal of 242044444131 is 131444440242.

It is not a de Polignac number, because 242044444131 - 25 = 242044444099 is a prime.

It is a super-2 number, since 2×2420444441312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242044444092 and 242044444101.

It is not an unprimeable number, because it can be changed into a prime (242044444171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60313081 + ... + 60317093.

It is an arithmetic number, because the mean of its divisors is an integer number (11542658400).

Almost surely, 2242044444131 is an apocalyptic number.

242044444131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242044444131 is a deficient number, since it is larger than the sum of its proper divisors (127320624669).

242044444131 is a wasteful number, since it uses less digits than its factorization.

242044444131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7475.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 242044444131 its reverse (131444440242), we get a palindrome (373488884373).

The spelling of 242044444131 in words is "two hundred forty-two billion, forty-four million, four hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 21 1399 2053 4013 4197 6159 9793 12039 14371 28091 29379 43113 84273 2872147 5614187 8238689 8616441 16842561 20105029 24716067 39299309 57670823 60315087 117897927 173012469 11525925911 34577777733 80681481377 242044444131