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309113459640 = 2332547118715391
BaseRepresentation
bin1000111111110001001…
…10010001001110111000
31002112212122111202010100
410133320212101032320
520031031021202030
6354001010115400
731222056024456
oct4377046211670
91075778452110
10309113459640
1110a104542427
124baa957bb60
13231c2c55b8b
1410d6564d9d6
1580927ed360
hex47f89913b8

309113459640 has 192 divisors, whose sum is σ = 1026924687360. Its totient is φ = 80603216640.

The previous prime is 309113459639. The next prime is 309113459653. The reversal of 309113459640 is 46954311903.

309113459640 is a `hidden beast` number, since 3 + 0 + 9 + 1 + 13 + 4 + 596 + 40 = 666.

309113459640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3091134596402 (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20076345 + ... + 20091735.

It is an arithmetic number, because the mean of its divisors is an integer number (5348566080).

Almost surely, 2309113459640 is an apocalyptic number.

309113459640 is a gapful number since it is divisible by the number (30) 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 309113459640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513462343680).

309113459640 is an abundant number, since it is smaller than the sum of its proper divisors (717811227720).

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

309113459640 is a wasteful number, since it uses less digits than its factorization.

309113459640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16642 (or 16635 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 309113459640 in words is "three hundred nine billion, one hundred thirteen million, four hundred fifty-nine thousand, six hundred forty".