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14884373312144 = 247218985170041
BaseRepresentation
bin1101100010011000100111…
…0010001011001010010000
31221200221011120100001011222
43120212021302023022100
53422331144031442034
651353441532224212
73064234434440300
oct330461162131220
957627146301158
1014884373312144
114819477777616
12180483660b068
1383c78a0b2b9b
1439659c2db600
151ac29b5c512e
hexd8989c8b290

14884373312144 has 30 divisors (see below), whose sum is σ = 33546795464214. Its totient is φ = 6379017133440.

The previous prime is 14884373312111. The next prime is 14884373312161. The reversal of 14884373312144 is 44121337348841.

It can be written as a sum of positive squares in only one way, i.e., 7781935110544 + 7102438201600 = 2789612^2 + 2665040^2 .

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9492584237 + ... + 9492585804.

Almost surely, 214884373312144 is an apocalyptic number.

14884373312144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14884373312144 is an abundant number, since it is smaller than the sum of its proper divisors (18662422152070).

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

14884373312144 is a wasteful number, since it uses less digits than its factorization.

14884373312144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18985170063 (or 18985170050 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 53.

The spelling of 14884373312144 in words is "fourteen trillion, eight hundred eighty-four billion, three hundred seventy-three million, three hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 18985170041 37970340082 75940680164 132896190287 151881360328 265792380574 303762720656 531584761148 930273332009 1063169522296 1860546664018 2126339044592 3721093328036 7442186656072 14884373312144