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14061442662 = 232171393111063
BaseRepresentation
bin11010001100010000…
…01001011001100110
31100021222002022001200
431012020021121212
5212244212131122
610243145303330
71005312201441
oct150610113146
940258068050
1014061442662
115a66354aa3
122885194b46
131431272697
1497570c658
1557471d5ac
hex346209666

14061442662 has 96 divisors (see below), whose sum is σ = 32625815040. Its totient is φ = 4361506560.

The previous prime is 14061442643. The next prime is 14061442663. The reversal of 14061442662 is 26624416041.

14061442662 is a `hidden beast` number, since 14 + 0 + 614 + 4 + 26 + 6 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14061442663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13227543 + ... + 13228605.

It is an arithmetic number, because the mean of its divisors is an integer number (339852240).

Almost surely, 214061442662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14061442662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16312907520).

14061442662 is an abundant number, since it is smaller than the sum of its proper divisors (18564372378).

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

14061442662 is a wasteful number, since it uses less digits than its factorization.

14061442662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 14061442662 in words is "fourteen billion, sixty-one million, four hundred forty-two thousand, six hundred sixty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 139 153 278 306 311 417 622 834 933 1063 1251 1866 2126 2363 2502 2799 3189 4726 5287 5598 6378 7089 9567 10574 14178 15861 18071 19134 21267 31722 36142 42534 43229 47583 54213 86458 95166 108426 129687 147757 162639 259374 295514 325278 330593 389061 443271 661186 734893 778122 886542 991779 1329813 1469786 1983558 2204679 2511869 2659626 2975337 4409358 5023738 5620081 5950674 6614037 7535607 11240162 13228074 15071214 16860243 22606821 33720486 45213642 45952427 50580729 91904854 101161458 137857281 275714562 413571843 781191259 827143686 1562382518 2343573777 4687147554 7030721331 14061442662