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12266306114440 = 2357400871092829
BaseRepresentation
bin1011001001111111100011…
…0100011001001110001000
31121102122110222000101210011
42302133320310121032020
53101432343331130230
642031021354201304
72404132333436350
oct262377064311610
947378428011704
1012266306114440
1139aa125024194
121461361123234
136ac927a938b1
14305999c87b60
1516411c54ae2a
hexb27f8d19388

12266306114440 has 64 divisors (see below), whose sum is σ = 31542745708800. Its totient is φ = 4205481907968.

The previous prime is 12266306114437. The next prime is 12266306114459. The reversal of 12266306114440 is 4441160366221.

It is a happy number.

12266306114440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12266306114393 and 12266306114402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10677946 + ... + 11770774.

It is an arithmetic number, because the mean of its divisors is an integer number (492855401700).

Almost surely, 212266306114440 is an apocalyptic number.

12266306114440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12266306114440 is an abundant number, since it is smaller than the sum of its proper divisors (19276439594360).

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

12266306114440 is a wasteful number, since it uses less digits than its factorization.

12266306114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132934 (or 1132930 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 12266306114440 in words is "twelve trillion, two hundred sixty-six billion, three hundred six million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 40087 80174 160348 200435 280609 320696 400870 561218 801740 1092829 1122436 1403045 1603480 2185658 2244872 2806090 4371316 5464145 5612180 7649803 8742632 10928290 11224360 15299606 21856580 30599212 38249015 43713160 61198424 76498030 152996060 305992120 43808236123 87616472246 175232944492 219041180615 306657652861 350465888984 438082361230 613315305722 876164722460 1226630611444 1533288264305 1752329444920 2453261222888 3066576528610 6133153057220 12266306114440