Search a number
-
+
152308282230000 = 243354131072831433
BaseRepresentation
bin100010101000011000001001…
…000011110000010011110000
3201222021112022001201112211000
4202220120021003300103300
5124430404330222330000
61255533243043122000
744036624135033211
oct4250301103602360
9658245261645730
10152308282230000
1144591641717326
12150ba447673300
1366ca7bca8a6a0
142987a8dd81408
151291d4bc65000
hex8a86090f04f0

152308282230000 has 1600 divisors, whose sum is σ = 596337336967680. Its totient is φ = 36983817216000.

The previous prime is 152308282229989. The next prime is 152308282230017. The reversal of 152308282230000 is 32282803251.

It is a happy number.

152308282230000 is a `hidden beast` number, since 1 + 5 + 2 + 308 + 28 + 22 + 300 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 106286309284 + ... + 106286310716.

Almost surely, 2152308282230000 is an apocalyptic number.

152308282230000 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 152308282230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298168668483840).

152308282230000 is an abundant number, since it is smaller than the sum of its proper divisors (444029054737680).

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

152308282230000 is a wasteful number, since it uses less digits than its factorization.

152308282230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 152308282230000 in words is "one hundred fifty-two trillion, three hundred eight billion, two hundred eighty-two million, two hundred thirty thousand".