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3133142440 = 23567217449
BaseRepresentation
bin1011101010111111…
…1111010110101000
322002100120010102121
42322233333112220
522404041024230
61234522041024
7140433162031
oct27257772650
98070503377
103133142440
11136863931a
12735349174
133ac16044c
1421a183a88
151350e377a
hexbabff5a8

3133142440 has 48 divisors (see below), whose sum is σ = 7156768500. Its totient is φ = 1234480896.

The previous prime is 3133142423. The next prime is 3133142459. The reversal of 3133142440 is 442413313.

It can be written as a sum of positive squares in 2 ways, for example, as 2887342756 + 245799684 = 53734^2 + 15678^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170836 + ... + 188284.

Almost surely, 23133142440 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 3133142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578384250).

3133142440 is an abundant number, since it is smaller than the sum of its proper divisors (4023626060).

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

3133142440 is a wasteful number, since it uses less digits than its factorization.

3133142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17594 (or 17523 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 3133142440 is about 55974.4802566312. The cubic root of 3133142440 is about 1463.2775619293.

Adding to 3133142440 its reverse (442413313), we get a palindrome (3575555753).

The spelling of 3133142440 in words is "three billion, one hundred thirty-three million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 4489 8978 17449 17956 22445 34898 35912 44890 69796 87245 89780 139592 174490 179560 348980 697960 1169083 2338166 4676332 5845415 9352664 11690830 23381660 46763320 78328561 156657122 313314244 391642805 626628488 783285610 1566571220 3133142440