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3115040032 = 251363111867
BaseRepresentation
bin1011100110101011…
…1011110100100000
322001002111102121001
42321222323310200
522334422240112
61233034041344
7140123255236
oct27152736440
98032442531
103115040032
1113593a4755
1272b279254
133a8492970
142179d0956
15133719c57
hexb9abbd20

3115040032 has 48 divisors (see below), whose sum is σ = 6615508032. Its totient is φ = 1435311360.

The previous prime is 3115040023. The next prime is 3115040059. The reversal of 3115040032 is 2300405113.

It is a super-2 number, since 2×31150400322 = 19406948801925122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3115039991 and 3115040009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256563 + ... + 268429.

It is an arithmetic number, because the mean of its divisors is an integer number (137823084).

Almost surely, 23115040032 is an apocalyptic number.

3115040032 is a gapful number since it is divisible by the number (32) 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 3115040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307754016).

3115040032 is an abundant number, since it is smaller than the sum of its proper divisors (3500468000).

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

3115040032 is a wasteful number, since it uses less digits than its factorization.

3115040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12521 (or 12513 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 3115040032 is about 55812.5436797142. The cubic root of 3115040032 is about 1460.4539827965.

Adding to 3115040032 its reverse (2300405113), we get a palindrome (5415445145).

The spelling of 3115040032 in words is "three billion, one hundred fifteen million, forty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 631 1262 2524 5048 8203 10096 11867 16406 20192 23734 32812 47468 65624 94936 131248 154271 189872 262496 308542 379744 617084 1234168 2468336 4936672 7488077 14976154 29952308 59904616 97345001 119809232 194690002 239618464 389380004 778760008 1557520016 3115040032