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129424450320 = 243451117292127
BaseRepresentation
bin111100010001001001…
…1000110001100010000
3110101001210221021220000
41320202103012030100
54110030124402240
6135242355050000
712231154450644
oct1704223061420
9411053837800
10129424450320
114a985801140
12210bbba0900
13c287889ba9
14639ac88c24
153577575430
hex1e224c6310

129424450320 has 1200 divisors, whose sum is σ = 541976168448. Its totient is φ = 28287221760.

The previous prime is 129424450313. The next prime is 129424450321. The reversal of 129424450320 is 23054424921.

It is a happy number.

129424450320 is a `hidden beast` number, since 1 + 2 + 94 + 2 + 44 + 503 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (129424450321) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1019090097 + ... + 1019090223.

Almost surely, 2129424450320 is an apocalyptic number.

129424450320 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 129424450320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270988084224).

129424450320 is an abundant number, since it is smaller than the sum of its proper divisors (412551718128).

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

129424450320 is a wasteful number, since it uses less digits than its factorization.

129424450320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 129424450320 in words is "one hundred twenty-nine billion, four hundred twenty-four million, four hundred fifty thousand, three hundred twenty".