Search a number
-
+
381222415119240 = 233352326197112771
BaseRepresentation
bin101011010101110000100001…
…0101000100011001110001000
31211222210111200120111202111000
41112223201002220203032020
5344431422001232303430
63430443054303135000
7143204260554644352
oct12653410250431610
91758714616452430
10381222415119240
11100518577983592
123690b55b5a4460
13134941726a9ca6
146a1d3988740d2
152e1170ac5ee60
hex15ab842a23388

381222415119240 has 768 divisors, whose sum is σ = 1364101479417600. Its totient is φ = 94658380185600.

The previous prime is 381222415119223. The next prime is 381222415119277. The reversal of 381222415119240 is 42911514222183.

381222415119240 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 2 + 2 + 4 + 1 + 511 + 92 + 40 = 666.

It is a super-2 number, since 2×3812224151192402 (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3380444055 + ... + 3380556825.

It is an arithmetic number, because the mean of its divisors is an integer number (1776173801325).

Almost surely, 2381222415119240 is an apocalyptic number.

381222415119240 is a gapful number since it is divisible by the number (30) 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 381222415119240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682050739708800).

381222415119240 is an abundant number, since it is smaller than the sum of its proper divisors (982879064298360).

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

381222415119240 is a wasteful number, since it uses less digits than its factorization.

381222415119240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112995 (or 112962 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 381222415119240 in words is "three hundred eighty-one trillion, two hundred twenty-two billion, four hundred fifteen million, one hundred nineteen thousand, two hundred forty".