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3131525040240 = 243513048021001
BaseRepresentation
bin101101100100011101011…
…100000000100001110000
3102002101000100211120222210
4231210131130000201300
5402301330402241430
610354334105332120
7442150052436642
oct55443534004160
912071010746883
103131525040240
11aa8088279143
12426ab1497040
131993bc6532bc
14ab7d0b42892
15566d13eb2b0
hex2d91d700870

3131525040240 has 40 divisors (see below), whose sum is σ = 9707727625488. Its totient is φ = 835073344000.

The previous prime is 3131525040181. The next prime is 3131525040317. The reversal of 3131525040240 is 420405251313.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3131525040198 and 3131525040207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6524010261 + ... + 6524010740.

Almost surely, 23131525040240 is an apocalyptic number.

3131525040240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3131525040240 is an abundant number, since it is smaller than the sum of its proper divisors (6576202585248).

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

3131525040240 is a wasteful number, since it uses less digits than its factorization.

3131525040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13048021017 (or 13048021011 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 3131525040240 in words is "three trillion, one hundred thirty-one billion, five hundred twenty-five million, forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 13048021001 26096042002 39144063003 52192084004 65240105005 78288126006 104384168008 130480210010 156576252012 195720315015 208768336016 260960420020 313152504024 391440630030 521920840040 626305008048 782881260060 1043841680080 1565762520120 3131525040240