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134404717392 = 24331153210069
BaseRepresentation
bin111110100101100100…
…1010011101101010000
3110211220220012001222000
41331023021103231100
54200230101424032
6141424503314000
712465450151011
oct1751311235520
9424826161860
10134404717392
1152000a60540
122206ba4b900
13c89c5c9a9a
146710491008
1537698cee7c
hex1f4b253b50

134404717392 has 240 divisors, whose sum is σ = 428996500800. Its totient is φ = 39956267520.

The previous prime is 134404717387. The next prime is 134404717393. The reversal of 134404717392 is 293717404431.

134404717392 is a `hidden beast` number, since 13 + 440 + 47 + 1 + 73 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134404717393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13343334 + ... + 13353402.

It is an arithmetic number, because the mean of its divisors is an integer number (1787485420).

Almost surely, 2134404717392 is an apocalyptic number.

134404717392 is a gapful number since it is divisible by the number (12) 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 134404717392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214498250400).

134404717392 is an abundant number, since it is smaller than the sum of its proper divisors (294591783408).

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

134404717392 is a wasteful number, since it uses less digits than its factorization.

134404717392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10203 (or 10138 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 134404717392 in words is "one hundred thirty-four billion, four hundred four million, seven hundred seventeen thousand, three hundred ninety-two".