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12940133340 = 22351355315913
BaseRepresentation
bin11000000110100101…
…01100001111011100
31020101211010212211210
430003102230033130
5203000133231330
65540011544420
7635445214161
oct140322541734
936354125753
1012940133340
115540405782
12261175b110
1312b2b70644
148aa824068
1550b0788b0
hex3034ac3dc

12940133340 has 48 divisors (see below), whose sum is σ = 36237323808. Its totient is φ = 3450230784.

The previous prime is 12940133317. The next prime is 12940133341. The reversal of 12940133340 is 4333104921.

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 = 12940133298 and 12940133307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12940133341) 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, 805224 + ... + 821136.

It is an arithmetic number, because the mean of its divisors is an integer number (754944246).

Almost surely, 212940133340 is an apocalyptic number.

12940133340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12940133340 is an abundant number, since it is smaller than the sum of its proper divisors (23297190468).

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

12940133340 is a wasteful number, since it uses less digits than its factorization.

12940133340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29478 (or 29476 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 12940133340 in words is "twelve billion, nine hundred forty million, one hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 13553 15913 27106 31826 40659 47739 54212 63652 67765 79565 81318 95478 135530 159130 162636 190956 203295 238695 271060 318260 406590 477390 813180 954780 215668889 431337778 647006667 862675556 1078344445 1294013334 2156688890 2588026668 3235033335 4313377780 6470066670 12940133340