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56434301404120 = 23523530891155449
BaseRepresentation
bin11001101010011101000100…
…11111010000001111011000
321101211001210111102001120201
430311032202133100033120
524344104422124412440
6320005320554431544
714613146412104053
oct1465164237201730
9241731714361521
1056434301404120
1116a8871a9a3502
1263b54194325b4
132564968977823
14dd1612db5a9a
1567cebba7a19a
hex3353a27d03d8

56434301404120 has 64 divisors (see below), whose sum is σ = 132500535480000. Its totient is φ = 21591829045248.

The previous prime is 56434301404079. The next prime is 56434301404141. The reversal of 56434301404120 is 2140410343465.

56434301404120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56434301404120.

It is a congruent number.

It is an unprimeable number.

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, 48264156 + ... + 49419604.

It is an arithmetic number, because the mean of its divisors is an integer number (2070320866875).

Almost surely, 256434301404120 is an apocalyptic number.

It is an amenable number.

56434301404120 is an abundant number, since it is smaller than the sum of its proper divisors (76066234075880).

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

56434301404120 is a wasteful number, since it uses less digits than its factorization.

56434301404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208572 (or 1208568 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 56434301404120 its reverse (2140410343465), we get a palindrome (58574711747585).

The spelling of 56434301404120 in words is "fifty-six trillion, four hundred thirty-four billion, three hundred one million, four hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 53089 106178 212356 265445 424712 530890 1061780 1155449 1221047 2123560 2310898 2442094 4621796 4884188 5777245 6105235 9243592 9768376 11554490 12210470 23108980 24420940 26575327 46217960 48841880 53150654 106301308 132876635 212602616 265753270 531506540 1063013080 61341631961 122683263922 245366527844 306708159805 490733055688 613416319610 1226832639220 1410857535103 2453665278440 2821715070206 5643430140412 7054287675515 11286860280824 14108575351030 28217150702060 56434301404120