Search a number
-
+
1152438239232 = 218327312251
BaseRepresentation
bin10000110001010010101…
…011000000000000000000
311002011122101212022210100
4100301102223000000000
5122340143142123412
62241231155002400
7146155331256330
oct20612253000000
94064571768710
101152438239232
11404823384295
12167425299400
138489ca31bb7
143dac796d0c0
151ee9e421edc
hex10c52ac0000

1152438239232 has 456 divisors, whose sum is σ = 3929350710272. Its totient is φ = 318504960000.

The previous prime is 1152438239209. The next prime is 1152438239311. The reversal of 1152438239232 is 2329328342511.

1152438239232 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 4 + 382 + 39 + 232 = 666.

It is a super-2 number, since 2×11524382392322 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511966107 + ... + 511968357.

Almost surely, 21152438239232 is an apocalyptic number.

1152438239232 is a gapful number since it is divisible by the number (12) 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 1152438239232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964675355136).

1152438239232 is an abundant number, since it is smaller than the sum of its proper divisors (2776912471040).

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

1152438239232 is an frugal number, since it uses more digits than its factorization.

1152438239232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2294 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 1152438239232 in words is "one trillion, one hundred fifty-two billion, four hundred thirty-eight million, two hundred thirty-nine thousand, two hundred thirty-two".