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134093421840 = 243572272411459
BaseRepresentation
bin111110011100010010…
…1110011110100010000
3110211010012102121202010
41330320211303310100
54144110403444330
6141333543222520
712454650164550
oct1747045636420
9424105377663
10134093421840
1151961271594
1221ba3747a40
13c84cc75831
1466c0dbb160
15374c3de3b0
hex1f38973d10

134093421840 has 320 divisors, whose sum is σ = 479475025920. Its totient is φ = 30367457280.

The previous prime is 134093421751. The next prime is 134093421877. The reversal of 134093421840 is 48124390431.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 91907031 + ... + 91908489.

It is an arithmetic number, because the mean of its divisors is an integer number (1498359456).

Almost surely, 2134093421840 is an apocalyptic number.

134093421840 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 134093421840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239737512960).

134093421840 is an abundant number, since it is smaller than the sum of its proper divisors (345381604080).

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

134093421840 is a wasteful number, since it uses less digits than its factorization.

134093421840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 134093421840 in words is "one hundred thirty-four billion, ninety-three million, four hundred twenty-one thousand, eight hundred forty".