Search a number
-
+
115028898048000 = 211325349925737
BaseRepresentation
bin11010001001111001000000…
…100110110110100000000000
3120002021122200200102211221100
4122021321000212312200000
5110034113140400014000
61044351313553454400
733141364216604556
oct3211710046664000
9502248620384840
10115028898048000
1133719533172952
1210a99455271400
134c252423454c1
1420595dd645bd6
15d47273e3da00
hex689e409b6800

115028898048000 has 288 divisors, whose sum is σ = 414616279339080. Its totient is φ = 30674372198400.

The previous prime is 115028898047971. The next prime is 115028898048047. The reversal of 115028898048000 is 840898820511.

115028898048000 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 2 + 8 + 89 + 80 + 480 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11362616239104 + 103666281808896 = 3370848^2 + 10181664^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1150288980480002 (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 22658869 + ... + 27266868.

Almost surely, 2115028898048000 is an apocalyptic number.

115028898048000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115028898048000 is an abundant number, since it is smaller than the sum of its proper divisors (299587381291080).

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

115028898048000 is an equidigital number, since it uses as much as digits as its factorization.

115028898048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49925780 (or 49925747 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 115028898048000 in words is "one hundred fifteen trillion, twenty-eight billion, eight hundred ninety-eight million, forty-eight thousand".