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14042101524 = 22311177338537
BaseRepresentation
bin11010001001111100…
…10111011100010100
31100020121200200000020
431010332113130110
5212224234222044
610241214545140
71004655615333
oct150476273424
940217620006
1014042101524
115a56444790
12287a8081b0
13142a260119
14972d15d1a
15572b9ca19
hex344f97714

14042101524 has 96 divisors (see below), whose sum is σ = 37902162816. Its totient is φ = 3998945280.

The previous prime is 14042101511. The next prime is 14042101547. The reversal of 14042101524 is 42510124041.

It is a junction number, because it is equal to n+sod(n) for n = 14042101494 and 14042101503.

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, 1640584 + ... + 1649120.

It is an arithmetic number, because the mean of its divisors is an integer number (394814196).

Almost surely, 214042101524 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 14042101524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18951081408).

14042101524 is an abundant number, since it is smaller than the sum of its proper divisors (23860061292).

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

14042101524 is a wasteful number, since it uses less digits than its factorization.

14042101524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9305 (or 9303 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 14042101524 its reverse (42510124041), we get a palindrome (56552225565).

The spelling of 14042101524 in words is "fourteen billion, forty-two million, one hundred one thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 733 748 1122 1466 2199 2244 2932 4398 8063 8537 8796 12461 16126 17074 24189 24922 25611 32252 34148 37383 48378 49844 51222 74766 93907 96756 102444 137071 145129 149532 187814 274142 281721 290258 375628 411213 435387 548284 563442 580516 822426 870774 1126884 1596419 1644852 1741548 3192838 4789257 6257621 6385676 9578514 12515242 18772863 19157028 25030484 37545726 68833831 75091452 106379557 137667662 206501493 212759114 275335324 319138671 413002986 425518228 638277342 826005972 1170175127 1276554684 2340350254 3510525381 4680700508 7021050762 14042101524