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134420044320 = 2534524143037
BaseRepresentation
bin111110100110000001…
…1110001101000100000
3110211221222000202120000
41331030003301220200
54200243012404240
6141430212020000
712466024344642
oct1751403615040
9424858022500
10134420044320
1152009679921
1222075001600
13c8a2835183
146712520892
15376ae0b430
hex1f4c0f1a20

134420044320 has 240 divisors, whose sum is σ = 476370234648. Its totient is φ = 35695779840.

The previous prime is 134420044277. The next prime is 134420044357. The reversal of 134420044320 is 23440024431.

It is a happy number.

134420044320 is a `hidden beast` number, since 13 + 4 + 4 + 200 + 443 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82178542224 + 52241502096 = 286668^2 + 228564^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3101842 + ... + 3144878.

Almost surely, 2134420044320 is an apocalyptic number.

134420044320 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 134420044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238185117324).

134420044320 is an abundant number, since it is smaller than the sum of its proper divisors (341950190328).

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

134420044320 is a wasteful number, since it uses less digits than its factorization.

134420044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43305 (or 43288 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 134420044320 its reverse (23440024431), we get a palindrome (157860068751).

The spelling of 134420044320 in words is "one hundred thirty-four billion, four hundred twenty million, forty-four thousand, three hundred twenty".