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842234432248 = 231173131107477
BaseRepresentation
bin11000100000110010001…
…01011000101011111000
32222111221202200012022001
430100121011120223320
5102244344003312443
61442530034510344
7114564232360366
oct14203105305370
92874852605261
10842234432248
112a520a41a860
121172927353b4
1361564c27aa1
142ca9b5b4636
1516d96047d4d
hexc419158af8

842234432248 has 32 divisors (see below), whose sum is σ = 1746351606960. Its totient is φ = 377589530880.

The previous prime is 842234432233. The next prime is 842234432251.

It is a happy number.

842234432248 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8422344322482 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 842234432198 and 842234432207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65547315 + ... + 65560162.

Almost surely, 2842234432248 is an apocalyptic number.

842234432248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

842234432248 is an abundant number, since it is smaller than the sum of its proper divisors (904117174712).

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

842234432248 is a wasteful number, since it uses less digits than its factorization.

842234432248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131107567 (or 131107563 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 46.

The spelling of 842234432248 in words is "eight hundred forty-two billion, two hundred thirty-four million, four hundred thirty-two thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 73 88 146 292 584 803 1606 3212 6424 131107477 262214954 524429908 1048859816 1442182247 2884364494 5768728988 9570845821 11537457976 19141691642 38283383284 76566766568 105279304031 210558608062 421117216124 842234432248