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3115040000 = 285419469
BaseRepresentation
bin1011100110101011…
…1011110100000000
322001002111102112212
42321222323310000
522334422240000
61233034041252
7140123255162
oct27152736400
98032442485
103115040000
1113593a4726
1272b279228
133a8492947
142179d0932
15133719c35
hexb9abbd00

3115040000 has 90 divisors (see below), whose sum is σ = 7770301770. Its totient is φ = 1245952000.

The previous prime is 3115039973. The next prime is 3115040023. The reversal of 3115040000 is 405113.

3115040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 1429444864 + 1685595136 = 37808^2 + 41056^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 150266 + ... + 169734.

Almost surely, 23115040000 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 3115040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885150885).

3115040000 is an abundant number, since it is smaller than the sum of its proper divisors (4655261770).

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

3115040000 is an frugal number, since it uses more digits than its factorization.

3115040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19505 (or 19476 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 3115040000 is about 55812.5433930402. The cubic root of 3115040000 is about 1460.4539777955.

Adding to 3115040000 its reverse (405113), we get a palindrome (3115445113).

The spelling of 3115040000 in words is "three billion, one hundred fifteen million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 19469 20000 32000 38938 40000 77876 80000 97345 155752 160000 194690 311504 389380 486725 623008 778760 973450 1246016 1557520 1946900 2433625 2492032 3115040 3893800 4867250 4984064 6230080 7787600 9734500 12168125 12460160 15575200 19469000 24336250 24920320 31150400 38938000 48672500 62300800 77876000 97345000 124601600 155752000 194690000 311504000 389380000 623008000 778760000 1557520000 3115040000