Search a number
-
+
129713495040 = 2103355211801
BaseRepresentation
bin111100011001110000…
…1101101110000000000
3110101210221211021201000
41320303201231300000
54111123123320130
6135331202212000
712241264341633
oct1706341556000
9411727737630
10129713495040
1150013982778
1221180954000
13c30272037c
1463c7409c1a
153592b1d260
hex1e3386dc00

129713495040 has 352 divisors, whose sum is σ = 462119584320. Its totient is φ = 34504704000.

The previous prime is 129713495033. The next prime is 129713495053. The reversal of 129713495040 is 40594317921.

129713495040 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 134 + 9 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72022140 + ... + 72023940.

Almost surely, 2129713495040 is an apocalyptic number.

129713495040 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 129713495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231059792160).

129713495040 is an abundant number, since it is smaller than the sum of its proper divisors (332406089280).

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

129713495040 is a wasteful number, since it uses less digits than its factorization.

129713495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 129713495040 in words is "one hundred twenty-nine billion, seven hundred thirteen million, four hundred ninety-five thousand, forty".