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3113865140 = 225296018933
BaseRepresentation
bin1011100110011001…
…1100111110110100
322001000021201221112
42321212130332310
522334122141030
61232552534152
7140110263011
oct27146347664
98030251845
103113865140
111358771a71
1272a9b1358
133a8170c69
142177a6708
15133586a95
hexb999cfb4

3113865140 has 48 divisors (see below), whose sum is σ = 6776617680. Its totient is φ = 1200460800.

The previous prime is 3113865113. The next prime is 3113865149. The reversal of 3113865140 is 415683113.

It can be written as a sum of positive squares in 8 ways, for example, as 1936 + 3113863204 = 44^2 + 55802^2 .

It is a super-2 number, since 2×31138651402 = 19392312220214439200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3113865097 and 3113865106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113865149) 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 15 ways as a sum of consecutive naturals, for example, 344114 + ... + 353046.

It is an arithmetic number, because the mean of its divisors is an integer number (141179535).

Almost surely, 23113865140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113865140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388308840).

3113865140 is an abundant number, since it is smaller than the sum of its proper divisors (3662752540).

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

3113865140 is a wasteful number, since it uses less digits than its factorization.

3113865140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9572 (or 9570 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 3113865140 is about 55802.0173470458. The cubic root of 3113865140 is about 1460.2703477599.

The spelling of 3113865140 in words is "three billion, one hundred thirteen million, eight hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 601 1202 2404 3005 6010 8933 12020 17429 17866 34858 35732 44665 69716 87145 89330 174290 178660 259057 348580 518114 1036228 1295285 2590570 5181140 5368733 10737466 21474932 26843665 53687330 107374660 155693257 311386514 622773028 778466285 1556932570 3113865140