Search a number
-
+
119882125440 = 273657114771
BaseRepresentation
bin110111110100110001…
…0000001000010000000
3102110102210100222000000
41233221202001002000
53431004311003230
6131023442000000
711442535152540
oct1575142010200
9373383328000
10119882125440
1146929375230
121b298346000
13b3c69559cc
145b33821320
1531b996eb60
hex1be9881080

119882125440 has 1792 divisors, whose sum is σ = 554825687040. Its totient is φ = 24037171200.

The previous prime is 119882125421. The next prime is 119882125453. The reversal of 119882125440 is 44521288911.

119882125440 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 82 + 125 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1688480605 + ... + 1688480675.

Almost surely, 2119882125440 is an apocalyptic number.

119882125440 is a gapful number since it is divisible by the number (10) 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 119882125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277412843520).

119882125440 is an abundant number, since it is smaller than the sum of its proper divisors (434943561600).

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

119882125440 is an equidigital number, since it uses as much as digits as its factorization.

119882125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 119882125440 in words is "one hundred nineteen billion, eight hundred eighty-two million, one hundred twenty-five thousand, four hundred forty".