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14377141404 = 2232773516643
BaseRepresentation
bin11010110001111000…
…11100010010011100
31101002222010110022200
431120330130102130
5213421022011104
610334344011500
71016164454103
oct153074342234
941088113280
1014377141404
11610858114a
122952a60b90
1314817a8b82
149a560b03a
155922cdb39
hex358f1c49c

14377141404 has 36 divisors (see below), whose sum is σ = 36389303496. Its totient is φ = 4786171488.

The previous prime is 14377141403. The next prime is 14377141447. The reversal of 14377141404 is 40414177341.

14377141404 is a `hidden beast` number, since 1 + 43 + 77 + 141 + 404 = 666.

14377141404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×143771414042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14377141403) by changing a digit.

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, 230494 + ... + 286149.

It is an arithmetic number, because the mean of its divisors is an integer number (1010813986).

Almost surely, 214377141404 is an apocalyptic number.

It is an amenable number.

14377141404 is an abundant number, since it is smaller than the sum of its proper divisors (22012162092).

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

14377141404 is a wasteful number, since it uses less digits than its factorization.

14377141404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517426 (or 517421 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 14377141404 in words is "fourteen billion, three hundred seventy-seven million, one hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 773 1546 2319 3092 4638 6957 9276 13914 27828 516643 1033286 1549929 2066572 3099858 4649787 6199716 9299574 18599148 399365039 798730078 1198095117 1597460156 2396190234 3594285351 4792380468 7188570702 14377141404