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152400322240 = 265503994513
BaseRepresentation
bin1000110111101111000…
…1000101111011000000
3112120101001002111222021
42031323301011323000
54444103440302430
6154002311451224
714003423236165
oct2157361057300
9476331074867
10152400322240
11596a6010841
1225652686b14
13114a994b98a
14753a49606c
153e6e6bb07a
hex237bc45ec0

152400322240 has 56 divisors (see below), whose sum is σ = 362979126720. Its totient is φ = 60947386368.

The previous prime is 152400322213. The next prime is 152400322289. The reversal of 152400322240 is 42223004251.

152400322240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1565224 + ... + 1659736.

It is an arithmetic number, because the mean of its divisors is an integer number (6481770120).

Almost surely, 2152400322240 is an apocalyptic number.

152400322240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152400322240 is an abundant number, since it is smaller than the sum of its proper divisors (210578804480).

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

152400322240 is an equidigital number, since it uses as much as digits as its factorization.

152400322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99569 (or 99559 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 152400322240 its reverse (42223004251), we get a palindrome (194623326491).

The spelling of 152400322240 in words is "one hundred fifty-two billion, four hundred million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 5039 10078 20156 25195 40312 50390 80624 94513 100780 161248 189026 201560 322496 378052 403120 472565 756104 806240 945130 1512208 1612480 1890260 3024416 3780520 6048832 7561040 15122080 30244160 476251007 952502014 1905004028 2381255035 3810008056 4762510070 7620016112 9525020140 15240032224 19050040280 30480064448 38100080560 76200161120 152400322240