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14814741400740 = 2232582304118893
BaseRepresentation
bin1101011110010101001101…
…1001100000110010100100
31221110021102210121102221100
43113211103121200302210
53420211042244310430
651301444230520100
73056221050113241
oct327452331406244
957407383542840
1014814741400740
1147a19953349a6
1217b3242b06030
13836040cb5b48
143930745405c8
151aa573472960
hexd7953660ca4

14814741400740 has 36 divisors (see below), whose sum is σ = 44938048916124. Its totient is φ = 3950597706816.

The previous prime is 14814741400729. The next prime is 14814741400741. The reversal of 14814741400740 is 4700414741841.

It can be written as a sum of positive squares in 2 ways, for example, as 6157623879936 + 8657117520804 = 2481456^2 + 2942298^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14814741400741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41152059267 + ... + 41152059626.

It is an arithmetic number, because the mean of its divisors is an integer number (1248279136559).

Almost surely, 214814741400740 is an apocalyptic number.

14814741400740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14814741400740 is an abundant number, since it is smaller than the sum of its proper divisors (30123307515384).

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

14814741400740 is a wasteful number, since it uses less digits than its factorization.

14814741400740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82304118908 (or 82304118903 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 14814741400740 in words is "fourteen trillion, eight hundred fourteen billion, seven hundred forty-one million, four hundred thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 82304118893 164608237786 246912356679 329216475572 411520594465 493824713358 740737070037 823041188930 987649426716 1234561783395 1481474140074 1646082377860 2469123566790 2962948280148 3703685350185 4938247133580 7407370700370 14814741400740