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14052544101405 = 3253494561196181
BaseRepresentation
bin1100110001111101110011…
…1001100011110000011101
31211202102001221220212102100
43030133130321203300131
53320214102242221110
645515352153315313
72650156100011425
oct314373471436035
954672057825370
1014052544101405
114528717883787
1216ab588705b39
137ac1c2ac4704
1436820aa0d485
15195813cd0bc0
hexcc7dce63c1d

14052544101405 has 48 divisors (see below), whose sum is σ = 24433016353200. Its totient is φ = 7471538841600.

The previous prime is 14052544101391. The next prime is 14052544101419. The reversal of 14052544101405 is 50410144525041.

14052544101405 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 2 + 544 + 101 + 4 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (14052544101391) and next prime (14052544101419).

It can be written as a sum of positive squares in 8 ways, for example, as 16828835076 + 14035715266329 = 129726^2 + 3746427^2 .

It is not a de Polignac number, because 14052544101405 - 210 = 14052544100381 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14052544101405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71532415 + ... + 71728595.

It is an arithmetic number, because the mean of its divisors is an integer number (509021174025).

Almost surely, 214052544101405 is an apocalyptic number.

14052544101405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14052544101405 is a deficient number, since it is larger than the sum of its proper divisors (10380472251795).

14052544101405 is a wasteful number, since it uses less digits than its factorization.

14052544101405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201102 (or 201099 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 14052544101405 its reverse (50410144525041), we get a palindrome (64462688626446).

The spelling of 14052544101405 in words is "fourteen trillion, fifty-two billion, five hundred forty-four million, one hundred one thousand, four hundred five".

Divisors: 1 3 5 9 15 45 349 1047 1745 3141 4561 5235 13683 15705 22805 41049 68415 196181 205245 588543 980905 1591789 1765629 2942715 4775367 7958945 8828145 14326101 23876835 68467169 71630505 205401507 342335845 616204521 894781541 1027007535 2684344623 3081022605 4473907705 8053033869 13421723115 40265169345 312278757809 936836273427 1561393789045 2810508820281 4684181367135 14052544101405