Search a number
-
+
14288724271614 = 2313895094043813
BaseRepresentation
bin1100111111101101101001…
…0101011010000111111110
31212120222200202120122000210
43033323122111122013332
53333101301403142424
650220052130133250
73003216623230302
oct317733225320776
955528622518023
1014288724271614
1146098a53882a1
121729300a21226
137c85619a7c10
14375813c47d02
1519ba38705729
hexcfeda55a1fe

14288724271614 has 64 divisors (see below), whose sum is σ = 31182658516800. Its totient is φ = 4338589719552.

The previous prime is 14288724271597. The next prime is 14288724271637. The reversal of 14288724271614 is 41617242788241.

It is a super-2 number, since 2×142887242716142 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1511572 + ... + 5555384.

It is an arithmetic number, because the mean of its divisors is an integer number (487229039325).

Almost surely, 214288724271614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14288724271614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15591329258400).

14288724271614 is an abundant number, since it is smaller than the sum of its proper divisors (16893934245186).

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

14288724271614 is a wasteful number, since it uses less digits than its factorization.

14288724271614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044429.

The product of its digits is 9633792, while the sum is 57.

The spelling of 14288724271614 in words is "fourteen trillion, two hundred eighty-eight billion, seven hundred twenty-four million, two hundred seventy-one thousand, six hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 89 178 267 509 534 1018 1157 1527 2314 3054 3471 6617 6942 13234 19851 39702 45301 90602 135903 271806 588913 1177826 1766739 3533478 4043813 8087626 12131439 24262878 52569569 105139138 157708707 315417414 359899357 719798714 1079698071 2058300817 2159396142 4116601634 4678691641 6174902451 9357383282 12349804902 14036074923 26757910621 28072149846 53515821242 80273731863 160547463726 183188772713 366377545426 549566318139 1099132636278 2381454045269 4762908090538 7144362135807 14288724271614