Search a number
-
+
151240232000 = 26531113731811
BaseRepresentation
bin1000110011011010011…
…1101100110001000000
3112110101012011211100002
42030312213230301000
54434214444411000
6153251231015132
713632605521664
oct2146647546100
9473335154302
10151240232000
1159160193880
122538a06a4a8
13113534bbc50
14746a3948a4
153e029158d5
hex23369ecc40

151240232000 has 448 divisors, whose sum is σ = 446300644608. Its totient is φ = 50042880000.

The previous prime is 151240231993. The next prime is 151240232051. The reversal of 151240232000 is 232042151.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 63 ways as a sum of consecutive naturals, for example, 83511095 + ... + 83512905.

It is an arithmetic number, because the mean of its divisors is an integer number (996206796).

Almost surely, 2151240232000 is an apocalyptic number.

151240232000 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 151240232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223150322304).

151240232000 is an abundant number, since it is smaller than the sum of its proper divisors (295060412608).

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

151240232000 is a wasteful number, since it uses less digits than its factorization.

151240232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 151240232000 its reverse (232042151), we get a palindrome (151472274151).

The spelling of 151240232000 in words is "one hundred fifty-one billion, two hundred forty million, two hundred thirty-two thousand".