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3121140240 = 243254334917
BaseRepresentation
bin1011101000001000…
…1101001000010000
322001111222100111200
42322002031020100
522343002441430
61233412511200
7140226153141
oct27202151020
98044870450
103121140240
111361890949
1273131b500
133a981a45a
1421873bac8
15134022460
hexba08d210

3121140240 has 60 divisors (see below), whose sum is σ = 10481831724. Its totient is φ = 832303872.

The previous prime is 3121140163. The next prime is 3121140257. The reversal of 3121140240 is 420411213.

3121140240 is a `hidden beast` number, since 312 + 114 + 0 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2415919104 + 705221136 = 49152^2 + 26556^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 2166739 + ... + 2168178.

Almost surely, 23121140240 is an apocalyptic number.

3121140240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3121140240 is an abundant number, since it is smaller than the sum of its proper divisors (7360691484).

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

3121140240 is a wasteful number, since it uses less digits than its factorization.

3121140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334936 (or 4334927 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3121140240 is about 55867.1660279990. The cubic root of 3121140240 is about 1461.4067007634.

Adding to 3121140240 its reverse (420411213), we get a palindrome (3541551453).

The spelling of 3121140240 in words is "three billion, one hundred twenty-one million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4334917 8669834 13004751 17339668 21674585 26009502 34679336 39014253 43349170 52019004 65023755 69358672 78028506 86698340 104038008 130047510 156057012 173396680 195071265 208076016 260095020 312114024 346793360 390142530 520190040 624228048 780285060 1040380080 1560570120 3121140240