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14419916115408 = 2432313230267947
BaseRepresentation
bin1101000111010110010111…
…1110100100110111010000
31220001112022202011210222100
43101311211332210313100
53342223442011143113
650400230142440400
73015542651423016
oct321654576446720
956045282153870
1014419916115408
11465a4a77a22a1
12174a814893100
13807a3b77965b
1437bcdb71c8b6
151a0165ee2d73
hexd1d65fa4dd0

14419916115408 has 60 divisors (see below), whose sum is σ = 41657535457408. Its totient is φ = 4651585842240.

The previous prime is 14419916115391. The next prime is 14419916115419. The reversal of 14419916115408 is 80451161991441.

14419916115408 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 9 + 91 + 6 + 1 + 1 + 540 + 8 = 666.

It is a super-4 number, since 4×144199161154084 (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1615129510 + ... + 1615138437.

Almost surely, 214419916115408 is an apocalyptic number.

14419916115408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14419916115408 is an abundant number, since it is smaller than the sum of its proper divisors (27237619342000).

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

14419916115408 is a wasteful number, since it uses less digits than its factorization.

14419916115408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230267992 (or 3230267983 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 14419916115408 in words is "fourteen trillion, four hundred nineteen billion, nine hundred sixteen million, one hundred fifteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 3230267947 6460535894 9690803841 12921071788 19381607682 25842143576 29072411523 38763215364 51684287152 58144823046 77526430728 100138306357 116289646092 155052861456 200276612714 232579292184 300414919071 400553225428 465158584368 600829838142 801106450856 901244757213 1201659676284 1602212901712 1802489514426 2403319352568 3604979028852 4806638705136 7209958057704 14419916115408