Search a number
-
+
423314232000 = 26353117920297
BaseRepresentation
bin1100010100011110111…
…11101001001011000000
31111110122111102001211220
412022033133221023000
523413421420411000
6522245021035040
742404056413612
oct6121737511300
91443574361756
10423314232000
11153587936a30
126a05b0b5a80
1330bc283c1aa
14166ba6cadb2
15b0285c91a0
hex628f7e92c0

423314232000 has 448 divisors, whose sum is σ = 1544232867840. Its totient is φ = 101317632000.

The previous prime is 423314231939. The next prime is 423314232023. The reversal of 423314232000 is 232413324.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 20845852 + ... + 20866148.

Almost surely, 2423314232000 is an apocalyptic number.

423314232000 is a gapful number since it is divisible by the number (40) 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 423314232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772116433920).

423314232000 is an abundant number, since it is smaller than the sum of its proper divisors (1120918635840).

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

423314232000 is a wasteful number, since it uses less digits than its factorization.

423314232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20417 (or 20397 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 423314232000 its reverse (232413324), we get a palindrome (423546645324).

The spelling of 423314232000 in words is "four hundred twenty-three billion, three hundred fourteen million, two hundred thirty-two thousand".