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3135255040 = 2951224709
BaseRepresentation
bin1011101011100000…
…0011001000000000
322002111112110101001
42322320003020000
522410111130130
61235035221344
7140460141151
oct27270031000
98074473331
103135255040
111369851575
12735ba7854
133ac71cbc8
1421a573928
151353ae6ca
hexbae03200

3135255040 has 40 divisors (see below), whose sum is σ = 7517269980. Its totient is φ = 1254100992.

The previous prime is 3135255023. The next prime is 3135255077. The reversal of 3135255040 is 405525313.

It can be written as a sum of positive squares in 2 ways, for example, as 2957619456 + 177635584 = 54384^2 + 13328^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 609795 + ... + 614914.

Almost surely, 23135255040 is an apocalyptic number.

It is an amenable number.

3135255040 is an abundant number, since it is smaller than the sum of its proper divisors (4382014940).

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

3135255040 is an equidigital number, since it uses as much as digits as its factorization.

3135255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224732 (or 1224716 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 3135255040 is about 55993.3481763682. The cubic root of 3135255040 is about 1463.6063719230.

The spelling of 3135255040 in words is "three billion, one hundred thirty-five million, two hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 1224709 2449418 4898836 6123545 9797672 12247090 19595344 24494180 39190688 48988360 78381376 97976720 156762752 195953440 313525504 391906880 627051008 783813760 1567627520 3135255040