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14042410404 = 223115910091787
BaseRepresentation
bin11010001001111111…
…00010110110100100
31100020122021100201020
431010333202312210
5212224324113104
610241225331140
71004661343011
oct150477426644
940218240636
1014042410404
115a56635860
12287a936ab0
13142a33a8a9
14972d96708
15572c0e2d9
hex344fe2da4

14042410404 has 96 divisors (see below), whose sum is σ = 36406540800. Its totient is φ = 4176668160.

The previous prime is 14042410373. The next prime is 14042410423. The reversal of 14042410404 is 40401424041.

It is a happy 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, 7857199 + ... + 7858985.

It is an arithmetic number, because the mean of its divisors is an integer number (379234800).

Almost surely, 214042410404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14042410404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18203270400).

14042410404 is an abundant number, since it is smaller than the sum of its proper divisors (22364130396).

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

14042410404 is a wasteful number, since it uses less digits than its factorization.

14042410404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14042410404 its reverse (40401424041), we get a palindrome (54443834445).

The spelling of 14042410404 in words is "fourteen billion, forty-two million, four hundred ten thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1009 1298 1787 1947 2018 2596 3027 3574 3894 4036 5361 6054 7148 7788 10722 11099 12108 19657 21444 22198 33297 39314 44396 58971 59531 66594 78628 105433 117942 119062 133188 178593 210866 235884 238124 316299 357186 421732 632598 654841 714372 1159763 1265196 1309682 1803083 1964523 2319526 2619364 3479289 3606166 3929046 4639052 5409249 6958578 7212332 7858092 10818498 13917156 19833913 21636996 39667826 59501739 79335652 106381897 119003478 212763794 238006956 319145691 425527588 638291382 1170200867 1276582764 2340401734 3510602601 4680803468 7021205202 14042410404