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134102669940 = 2232519213071579
BaseRepresentation
bin111110011100100100…
…1000101101001110100
3110211010211211110202100
41330321021011221310
54144120240414230
6141334513342100
712455121613131
oct1747111055164
9424124743670
10134102669940
1151966508848
1221ba6867930
13c851b63095
1466c2307588
15374d119660
hex1f39245a74

134102669940 has 216 divisors, whose sum is σ = 429914852640. Its totient is φ = 33831209088.

The previous prime is 134102669917. The next prime is 134102669969. The reversal of 134102669940 is 49966201431.

134102669940 is a `hidden beast` number, since 1 + 341 + 0 + 266 + 9 + 9 + 40 = 666.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 84928071 + ... + 84929649.

It is an arithmetic number, because the mean of its divisors is an integer number (1990346540).

Almost surely, 2134102669940 is an apocalyptic number.

134102669940 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 134102669940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214957426320).

134102669940 is an abundant number, since it is smaller than the sum of its proper divisors (295812182700).

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

134102669940 is a wasteful number, since it uses less digits than its factorization.

134102669940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 134102669940 in words is "one hundred thirty-four billion, one hundred two million, six hundred sixty-nine thousand, nine hundred forty".