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442051150244 = 2211233143327689
BaseRepresentation
bin1100110111011000100…
…11010100000110100100
31120021000022020010122212
412123230103110012210
524220310043301434
6535024150142552
743636303531454
oct6335423240644
91507008203585
10442051150244
11160522393a30
127180a051a58
13328ba636a72
1417576d41d64
15b7734e88ce
hex66ec4d41a4

442051150244 has 96 divisors (see below), whose sum is σ = 930157240320. Its totient is φ = 181670227200.

The previous prime is 442051150223. The next prime is 442051150271.

442051150244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4420511502442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442051150244.

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, 1185152 + ... + 1512840.

It is an arithmetic number, because the mean of its divisors is an integer number (9689137920).

Almost surely, 2442051150244 is an apocalyptic number.

442051150244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442051150244 is an abundant number, since it is smaller than the sum of its proper divisors (488106090076).

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

442051150244 is a wasteful number, since it uses less digits than its factorization.

442051150244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327801 (or 327799 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

It can be divided in two parts, 442051 and 150244, that added together give a palindrome (592295).

The spelling of 442051150244 in words is "four hundred forty-two billion, fifty-one million, one hundred fifty thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 23 31 43 44 46 62 86 92 124 172 253 341 473 506 682 713 946 989 1012 1333 1364 1426 1892 1978 2666 2852 3956 5332 7843 10879 14663 15686 21758 29326 30659 31372 43516 58652 61318 122636 327689 337249 655378 674498 1310756 1348996 3604579 7209158 7536847 10158359 14090627 14418316 15073694 20316718 28181254 30147388 40633436 56362508 82905317 111741949 154996897 165810634 223483898 233642257 309993794 324084421 331621268 436809437 446967796 467284514 619987588 648168842 873618874 934569028 1296337684 1747237748 2570064827 3564928631 4804903807 5140129654 7129857262 9609807614 10046617051 10280259308 14259714524 19219615228 20093234102 40186468204 110512787561 221025575122 442051150244