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332421420434144 = 251941104331278181
BaseRepresentation
bin100101110010101011110010…
…0101011100100001011100000
31121121000011210100101100212212
41023211113210223210023200
5322032343032112343034
63135000143050541252
7130006440455232566
oct11345274453441340
91547004710340785
10332421420434144
1196a13150698998
12313495b9137828
1311364289475a62
145c133d562ba36
15286709d8092ce
hex12e55e4ae42e0

332421420434144 has 96 divisors (see below), whose sum is σ = 705770278284960. Its totient is φ = 153607377715200.

The previous prime is 332421420434143. The next prime is 332421420434149. The reversal of 332421420434144 is 441434024124233.

It is a super-2 number, since 2×3324214204341442 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332421420434143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259434734 + ... + 260712914.

It is an arithmetic number, because the mean of its divisors is an integer number (7351773732135).

Almost surely, 2332421420434144 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 332421420434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352885139142480).

332421420434144 is an abundant number, since it is smaller than the sum of its proper divisors (373348857850816).

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

332421420434144 is a wasteful number, since it uses less digits than its factorization.

332421420434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288684 (or 1288676 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 41.

Adding to 332421420434144 its reverse (441434024124233), we get a palindrome (773855444558377).

The spelling of 332421420434144 in words is "three hundred thirty-two trillion, four hundred twenty-one billion, four hundred twenty million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 41 76 82 152 164 304 328 608 656 779 1312 1558 3116 6232 10433 12464 20866 24928 41732 83464 166928 198227 333856 396454 427753 792908 855506 1278181 1585816 1711012 2556362 3171632 3422024 5112724 6343264 6844048 8127307 10225448 13688096 16254614 20450896 24285439 32509228 40901792 48570878 52405421 65018456 97141756 104810842 130036912 194283512 209621684 260073824 388567024 419243368 777134048 838486736 995702999 1676973472 1991405998 3982811996 7965623992 13335262373 15931247984 26670524746 31862495968 53341049492 106682098984 213364197968 253369985087 426728395936 506739970174 546745757293 1013479940348 1093491514586 2026959880696 2186983029172 4053919761392 4373966058344 8107839522784 8747932116688 10388169388567 17495864233376 20776338777134 41552677554268 83105355108536 166210710217072 332421420434144