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3135296140 = 225295879209
BaseRepresentation
bin1011101011100000…
…1101001010001100
322002111121112202021
42322320031022030
522410113434030
61235040135524
7140460402034
oct27270151214
98074545667
103135296140
11136987a439
127360075a4
133ac735822
1421a5848c4
151353bb97a
hexbae0d28c

3135296140 has 48 divisors (see below), whose sum is σ = 6823504800. Its totient is φ = 1208678912.

The previous prime is 3135296113. The next prime is 3135296141. The reversal of 3135296140 is 416925313.

It is a junction number, because it is equal to n+sod(n) for n = 3135296096 and 3135296105.

It is not an unprimeable number, because it can be changed into a prime (3135296141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335856 + ... + 345064.

It is an arithmetic number, because the mean of its divisors is an integer number (142156350).

Almost surely, 23135296140 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 3135296140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411752400).

3135296140 is an abundant number, since it is smaller than the sum of its proper divisors (3688208660).

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

3135296140 is a wasteful number, since it uses less digits than its factorization.

3135296140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9834 (or 9832 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 3135296140 is about 55993.7151830453. The cubic root of 3135296140 is about 1463.6127673579.

The spelling of 3135296140 in words is "three billion, one hundred thirty-five million, two hundred ninety-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 587 1174 2348 2935 5870 9209 11740 17023 18418 34046 36836 46045 68092 85115 92090 170230 184180 267061 340460 534122 1068244 1335305 2670610 5341220 5405683 10811366 21622732 27028415 54056830 108113660 156764807 313529614 627059228 783824035 1567648070 3135296140