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134374331040 = 25353147271709
BaseRepresentation
bin111110100100101010…
…1011001001010100000
3110211211210000021201120
41331021111121022200
54200144312043130
6141421500132240
712464630653035
oct1751125311240
9424753007646
10134374331040
1151a95896854
1222061837080
13c89621acb1
14670a42138c
153766dcb910
hex1f495592a0

134374331040 has 384 divisors, whose sum is σ = 448508067840. Its totient is φ = 33766502400.

The previous prime is 134374330997. The next prime is 134374331041. The reversal of 134374331040 is 40133473431.

It is a junction number, because it is equal to n+sod(n) for n = 134374330992 and 134374331010.

It is not an unprimeable number, because it can be changed into a prime (134374331041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189526206 + ... + 189526914.

It is an arithmetic number, because the mean of its divisors is an integer number (1167989760).

Almost surely, 2134374331040 is an apocalyptic number.

134374331040 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 134374331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224254033920).

134374331040 is an abundant number, since it is smaller than the sum of its proper divisors (314133736800).

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

134374331040 is a wasteful number, since it uses less digits than its factorization.

134374331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The spelling of 134374331040 in words is "one hundred thirty-four billion, three hundred seventy-four million, three hundred thirty-one thousand, forty".