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14072839641 = 34742692
BaseRepresentation
bin11010001101100111…
…00111110111011001
31100022202112022210000
431012303213313121
5212310121332031
610244233443213
71005511110000
oct150663476731
940282468700
1014072839641
115a71829793
122888b70509
131433733063
14977037c37
155757203e6
hex346ce7dd9

14072839641 has 75 divisors (see below), whose sum is σ = 24616171151. Its totient is φ = 8011728144.

The previous prime is 14072839619. The next prime is 14072839679. The reversal of 14072839641 is 14693827041.

The square root of 14072839641 is 118629.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 925924041 + 13146915600 = 30429^2 + 114660^2 .

It is a de Polignac number, because none of the positive numbers 2k-14072839641 is a prime.

It is a super-2 number, since 2×140728396412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14072839601) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 52315255 + ... + 52315523.

Almost surely, 214072839641 is an apocalyptic number.

14072839641 is the 118629-th square number.

14072839641 is the 59315-th centered octagonal number.

It is an amenable number.

14072839641 is a deficient number, since it is larger than the sum of its proper divisors (10543331510).

14072839641 is an frugal number, since it uses more digits than its factorization.

14072839641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 14072839641 in words is "fourteen billion, seventy-two million, eight hundred thirty-nine thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 269 343 441 567 807 1029 1323 1883 2401 2421 3087 3969 5649 7203 7263 9261 13181 16947 21609 21789 27783 39543 50841 64827 72361 92267 118629 152523 194481 217083 276801 355887 506527 645869 651249 830403 1067661 1519581 1937607 1953747 2491209 3545689 4558743 5812821 5861241 7473627 10637067 13676229 17438463 24819823 31911201 41028687 52315389 74459469 95733603 173738761 223378407 287200809 521216283 670135221 1563648849 2010405663 4690946547 14072839641