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12014275440 = 2435291726189
BaseRepresentation
bin10110011000001101…
…10100101101110000
31011000021222102120110
423030012310231300
5144101123303230
65304055341320
7603503441046
oct131406645560
934007872513
1012014275440
115105821a62
1223b3681840
1311960c242b
1481d896396
154a4b404b0
hex2cc1b4b70

12014275440 has 80 divisors (see below), whose sum is σ = 38528560800. Its totient is φ = 3093328896.

The previous prime is 12014275421. The next prime is 12014275457. The reversal of 12014275440 is 4457241021.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 12014275398 and 12014275407.

It is a congruent number.

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, 856135 + ... + 870054.

It is an arithmetic number, because the mean of its divisors is an integer number (481607010).

Almost surely, 212014275440 is an apocalyptic number.

12014275440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12014275440 is an abundant number, since it is smaller than the sum of its proper divisors (26514285360).

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

12014275440 is a wasteful number, since it uses less digits than its factorization.

12014275440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726234 (or 1726228 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The spelling of 12014275440 in words is "twelve billion, fourteen million, two hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 1726189 3452378 5178567 6904756 8630945 10357134 13809512 17261890 20714268 25892835 27619024 34523780 41428536 50059481 51785670 69047560 82857072 100118962 103571340 138095120 150178443 200237924 207142680 250297405 300356886 400475848 414285360 500594810 600713772 750892215 800951696 1001189620 1201427544 1501784430 2002379240 2402855088 3003568860 4004758480 6007137720 12014275440