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14131413400144 = 241108217969729
BaseRepresentation
bin1100110110100011100111…
…1000000011101001010000
31212000221122111102100212211
43031220321320003221100
53323012113312301034
650015514240201504
72655650412001045
oct315507170035120
955027574370784
1014131413400144
11455910a506207
121702919909294
137b67818b9611
1436bd6d5371cc
151978ccda1d64
hexcda39e03a50

14131413400144 has 20 divisors (see below), whose sum is σ = 27379863959860. Its totient is φ = 7065642055680.

The previous prime is 14131413400129. The next prime is 14131413400201. The reversal of 14131413400144 is 44100431413141.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8192990275600 + 5938423124544 = 2862340^2 + 2436888^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2211729 + ... + 5758000.

It is an arithmetic number, because the mean of its divisors is an integer number (1368993197993).

Almost surely, 214131413400144 is an apocalyptic number.

It is an amenable number.

14131413400144 is a deficient number, since it is larger than the sum of its proper divisors (13248450559716).

14131413400144 is a wasteful number, since it uses less digits than its factorization.

14131413400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8080558 (or 8080552 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 14131413400144 its reverse (44100431413141), we get a palindrome (58231844813285).

The spelling of 14131413400144 in words is "fourteen trillion, one hundred thirty-one billion, four hundred thirteen million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 110821 221642 443284 886568 1773136 7969729 15939458 31878916 63757832 127515664 883213337509 1766426675018 3532853350036 7065706700072 14131413400144