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1399114327680 = 27325242901793
BaseRepresentation
bin10100010111000001101…
…101100110011010000000
311221202100200102222110100
4110113001231212122000
5140410341231441210
62550424431402400
7203040233364006
oct24270155463200
94852320388410
101399114327680
1149a3a76215a3
121a71a8683400
13a1c22288b04
144ba08b3ca76
15265da5135c0
hex145c1b66680

1399114327680 has 96 divisors (see below), whose sum is σ = 4831316682660. Its totient is φ = 373097152512.

The previous prime is 1399114327669. The next prime is 1399114327691. The reversal of 1399114327680 is 867234119931.

1399114327680 is a `hidden beast` number, since 139 + 9 + 1 + 1 + 432 + 76 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1399114327669) and next prime (1399114327691).

It can be written as a sum of positive squares in 2 ways, for example, as 1318326497856 + 80787829824 = 1148184^2 + 284232^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 121445137 + ... + 121456656.

Almost surely, 21399114327680 is an apocalyptic number.

1399114327680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1399114327680 is an abundant number, since it is smaller than the sum of its proper divisors (3432202354980).

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

1399114327680 is a wasteful number, since it uses less digits than its factorization.

1399114327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242901818 (or 242901803 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1399114327680 in words is "one trillion, three hundred ninety-nine billion, one hundred fourteen million, three hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 242901793 485803586 728705379 971607172 1214508965 1457410758 1943214344 2186116137 2429017930 2914821516 3643526895 3886428688 4372232274 4858035860 5829643032 7287053790 7772857376 8744464548 9716071720 10930580685 11659286064 14574107580 15545714752 17488929096 19432143440 21861161370 23318572128 29148215160 31091429504 34977858192 38864286880 43722322740 46637144256 58296430320 69955716384 77728573760 87444645480 93274288512 116592860640 139911432768 155457147520 174889290960 233185721280 279822865536 349778581920 466371442560 699557163840 1399114327680