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134421650640 = 243251747233663
BaseRepresentation
bin111110100110000100…
…1111001110011010000
3110211222002001101000100
41331030021321303100
54200243420310030
6141430310252400
712466044115044
oct1751411716320
9424862041010
10134421650640
115200a576762
1222075657100
13c8a2c78364
14671281c024
15376b127360
hex1f4c279cd0

134421650640 has 240 divisors, whose sum is σ = 488159612928. Its totient is φ = 33019244544.

The previous prime is 134421650617. The next prime is 134421650641. The reversal of 134421650640 is 46056124431.

134421650640 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 2 + 1 + 6 + 5 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 134421650595 and 134421650604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134421650641) 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, 458449 + ... + 692111.

Almost surely, 2134421650640 is an apocalyptic number.

134421650640 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 134421650640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244079806464).

134421650640 is an abundant number, since it is smaller than the sum of its proper divisors (353737962288).

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

134421650640 is a wasteful number, since it uses less digits than its factorization.

134421650640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233746 (or 233737 counting only the distinct ones).

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

The spelling of 134421650640 in words is "one hundred thirty-four billion, four hundred twenty-one million, six hundred fifty thousand, six hundred forty".