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130192323408 = 243374314049
BaseRepresentation
bin111100101000000010…
…0010011001101010000
3110110001022211021202000
41321100010103031100
54113113213322113
6135450505154000
712256200330000
oct1712004231520
9413038737660
10130192323408
115023a1995a4
122129518b900
13c37a9a1974
146430c50000
1535beba3373
hex1e50113350

130192323408 has 400 divisors, whose sum is σ = 450131904000. Its totient is φ = 35988986880.

The previous prime is 130192323383. The next prime is 130192323421. The reversal of 130192323408 is 804323291031.

130192323408 is a `hidden beast` number, since 1 + 3 + 0 + 19 + 232 + 3 + 408 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32152168 + ... + 32156216.

It is an arithmetic number, because the mean of its divisors is an integer number (1125329760).

Almost surely, 2130192323408 is an apocalyptic number.

130192323408 is a gapful number since it is divisible by the number (18) 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 130192323408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225065952000).

130192323408 is an abundant number, since it is smaller than the sum of its proper divisors (319939580592).

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

130192323408 is an equidigital number, since it uses as much as digits as its factorization.

130192323408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 130192323408 in words is "one hundred thirty billion, one hundred ninety-two million, three hundred twenty-three thousand, four hundred eight".