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129841367040 = 21134571119107
BaseRepresentation
bin111100011101100100…
…1100000100000000000
3110102010212102212010000
41320323021200200000
54111403342221130
6135352011040000
712244406260410
oct1707311404000
9412125385100
10129841367040
115007a080910
12211b7740000
13c323072388
1463da3b4640
15359de7b260
hex1e3b260800

129841367040 has 1920 divisors, whose sum is σ = 616475059200. Its totient is φ = 25321144320.

The previous prime is 129841366987. The next prime is 129841367057. The reversal of 129841367040 is 40763148921.

129841367040 is a `hidden beast` number, since 129 + 8 + 413 + 6 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1213470667 + ... + 1213470773.

It is an arithmetic number, because the mean of its divisors is an integer number (321080760).

Almost surely, 2129841367040 is an apocalyptic number.

129841367040 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 129841367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308237529600).

129841367040 is an abundant number, since it is smaller than the sum of its proper divisors (486633692160).

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

129841367040 is a wasteful number, since it uses less digits than its factorization.

129841367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 129841367040 in words is "one hundred twenty-nine billion, eight hundred forty-one million, three hundred sixty-seven thousand, forty".