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3999936312 = 2332144738393
BaseRepresentation
bin1110111001101010…
…0010111100111000
3101022202120211002100
43232122202330320
531142440430222
61500524303400
7201056616621
oct35632427470
911282524070
103999936312
111772950399
129376a1b60
134b98cb728
1429d338a48
151862614ac
hexee6a2f38

3999936312 has 48 divisors (see below), whose sum is σ = 10840929840. Its totient is φ = 1332355968.

The previous prime is 3999936277. The next prime is 3999936313. The reversal of 3999936312 is 2136399993.

It is a happy number.

It is a super-3 number, since 3×39999363123 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3999936313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84988 + ... + 123380.

It is an arithmetic number, because the mean of its divisors is an integer number (225852705).

Almost surely, 23999936312 is an apocalyptic number.

It is an amenable number.

3999936312 is an abundant number, since it is smaller than the sum of its proper divisors (6840993528).

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

3999936312 is a wasteful number, since it uses less digits than its factorization.

3999936312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39852 (or 39845 counting only the distinct ones).

The product of its digits is 2125764, while the sum is 54.

The square root of 3999936312 is about 63245.0497035143. The cubic root of 3999936312 is about 1587.3926270570.

The spelling of 3999936312 in words is "three billion, nine hundred ninety-nine million, nine hundred thirty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1447 2894 4341 5788 8682 11576 13023 17364 26046 34728 38393 52092 76786 104184 115179 153572 230358 307144 345537 460716 691074 921432 1382148 2764296 55554671 111109342 166664013 222218684 333328026 444437368 499992039 666656052 999984078 1333312104 1999968156 3999936312