Search a number
-
+
134400423120 = 243519315317939
BaseRepresentation
bin111110100101011100…
…0111011010011010000
3110211220121002220022220
41331022320323103100
54200223002014440
6141424231301040
712465365514165
oct1751270732320
9424817086286
10134400423120
1151aa9598157
122206a51a780
13c89b7552b2
14670da9406c
1537693328d0
hex1f4ae3b4d0

134400423120 has 320 divisors, whose sum is σ = 461284761600. Its totient is φ = 32236738560.

The previous prime is 134400423109. The next prime is 134400423133. The reversal of 134400423120 is 21324004431.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7483111 + ... + 7501049.

It is an arithmetic number, because the mean of its divisors is an integer number (1441514880).

Almost surely, 2134400423120 is an apocalyptic number.

134400423120 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 134400423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230642380800).

134400423120 is an abundant number, since it is smaller than the sum of its proper divisors (326884338480).

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

134400423120 is a wasteful number, since it uses less digits than its factorization.

134400423120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18058 (or 18052 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 134400423120 its reverse (21324004431), we get a palindrome (155724427551).

The spelling of 134400423120 in words is "one hundred thirty-four billion, four hundred million, four hundred twenty-three thousand, one hundred twenty".