Search a number
-
+
124135378364088 = 233271323947869849
BaseRepresentation
bin11100001110011010000101…
…001000011010011010111000
3121021112020002221202012000100
4130032122011020122122320
5112232313223330122323
61120003001111035400
735101325253252360
oct3416320510323270
9537466087665010
10124135378364088
113660a57797a503
1211b0a32706bb60
135435bba463190
142292281cab9a0
15e540a5718943
hex70e68521a6b8

124135378364088 has 384 divisors, whose sum is σ = 432231666048000. Its totient is φ = 31282461923328.

The previous prime is 124135378364057. The next prime is 124135378364117. The reversal of 124135378364088 is 880463873531421.

It is a happy number.

124135378364088 is a `hidden beast` number, since 1 + 2 + 4 + 13 + 537 + 8 + 3 + 6 + 4 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142274188 + ... + 143144036.

It is an arithmetic number, because the mean of its divisors is an integer number (1125603297000).

Almost surely, 2124135378364088 is an apocalyptic number.

124135378364088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124135378364088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216115833024000).

124135378364088 is an abundant number, since it is smaller than the sum of its proper divisors (308096287683912).

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

124135378364088 is a wasteful number, since it uses less digits than its factorization.

124135378364088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870851 (or 870844 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 124135378364088 in words is "one hundred twenty-four trillion, one hundred thirty-five billion, three hundred seventy-eight million, three hundred sixty-four thousand, eighty-eight".