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14210204144331 = 3132353349856459
BaseRepresentation
bin1100111011001001001000…
…1010111001001011001011
31212022111000120002212202110
43032302102022321023023
53330304444230104311
650120024435233403
72664440051164356
oct316622212711313
955274016085673
1014210204144331
114589571864518
121716048748863
137c102a339040
14371ac585329d
151999901078a6
hexcec922b92cb

14210204144331 has 64 divisors (see below), whose sum is σ = 21755454336000. Its totient is φ = 8183188975104.

The previous prime is 14210204144309. The next prime is 14210204144371. The reversal of 14210204144331 is 13344140201241.

It is a happy number.

14210204144331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14210204144331 - 25 = 14210204144299 is a prime.

It is a super-2 number, since 2×142102041443312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14210204144371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16163580 + ... + 17020038.

It is an arithmetic number, because the mean of its divisors is an integer number (339928974000).

Almost surely, 214210204144331 is an apocalyptic number.

14210204144331 is a deficient number, since it is larger than the sum of its proper divisors (7545250191669).

14210204144331 is a wasteful number, since it uses less digits than its factorization.

14210204144331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856900.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 14210204144331 its reverse (13344140201241), we get a palindrome (27554344345572).

The spelling of 14210204144331 in words is "fourteen trillion, two hundred ten billion, two hundred four million, one hundred forty-four thousand, three hundred thirty-one".

Divisors: 1 3 13 23 39 53 69 159 299 349 689 897 1047 1219 2067 3657 4537 8027 13611 15847 18497 24081 47541 55491 104351 240461 313053 425431 721383 856459 1276293 2569377 5530603 11133967 16591809 19698557 33401901 45392327 59095671 136176981 256081241 298904191 590100251 768243723 896712573 1044023521 1770300753 3132070563 3885754483 6874796393 11657263449 13572305773 15841922123 20624389179 40716917319 47525766369 89372353109 205944987599 268117059327 364364208829 617834962797 1093092626487 4736734714777 14210204144331