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3115435040 = 255149130681
BaseRepresentation
bin1011100110110001…
…1100010000100000
322001010020111102222
42321230130100200
522340022410130
61233050330212
7140126521664
oct27154342040
98033214388
103115435040
111359644503
1272b429968
133a85a06b3
14217a948a4
15133796ce5
hexb9b1c420

3115435040 has 48 divisors (see below), whose sum is σ = 7409669400. Its totient is φ = 1237800960.

The previous prime is 3115435033. The next prime is 3115435069. The reversal of 3115435040 is 405345113.

It can be written as a sum of positive squares in 4 ways, for example, as 2041955344 + 1073479696 = 45188^2 + 32764^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41501 + ... + 89180.

Almost surely, 23115435040 is an apocalyptic number.

It is an amenable number.

3115435040 is an abundant number, since it is smaller than the sum of its proper divisors (4294234360).

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

3115435040 is a wasteful number, since it uses less digits than its factorization.

3115435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130845 (or 130837 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 3115435040 is about 55816.0822702561. The cubic root of 3115435040 is about 1460.5157119790.

The spelling of 3115435040 in words is "three billion, one hundred fifteen million, four hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 149 160 298 596 745 1192 1490 2384 2980 4768 5960 11920 23840 130681 261362 522724 653405 1045448 1306810 2090896 2613620 4181792 5227240 10454480 19471469 20908960 38942938 77885876 97357345 155771752 194714690 311543504 389429380 623087008 778858760 1557717520 3115435040