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44342444304 = 2434103332183
BaseRepresentation
bin101001010011000001…
…000000000100010000
311020110022010120020000
4221103001000010100
51211303131204204
632212020250000
73126563362164
oct512301000420
9136408116200
1044342444304
1117895176794
128716240900
134248913032
1422091c2ca4
151247d52039
hexa53040110

44342444304 has 100 divisors (see below), whose sum is σ = 129586307136. Its totient is φ = 14637267648.

The previous prime is 44342444261. The next prime is 44342444339. The reversal of 44342444304 is 40344424344.

44342444304 is a `hidden beast` number, since 4 + 4 + 342 + 4 + 4 + 4 + 304 = 666.

It is a super-3 number, since 3×443424443043 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32604 + ... + 299579.

Almost surely, 244342444304 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 44342444304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64793153568).

44342444304 is an abundant number, since it is smaller than the sum of its proper divisors (85243862832).

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

44342444304 is a wasteful number, since it uses less digits than its factorization.

44342444304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332306 (or 332291 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 44342444304 its reverse (40344424344), we get a palindrome (84686868648).

The spelling of 44342444304 in words is "forty-four billion, three hundred forty-two million, four hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 103 108 144 162 206 216 309 324 412 432 618 648 824 927 1236 1296 1648 1854 2472 2781 3708 4944 5562 7416 8343 11124 14832 16686 22248 33372 44496 66744 133488 332183 664366 996549 1328732 1993098 2657464 2989647 3986196 5314928 5979294 7972392 8968941 11958588 15944784 17937882 23917176 26906823 34214849 35875764 47834352 53813646 68429698 71751528 102644547 107627292 136859396 143503056 205289094 215254584 273718792 307933641 410578188 430509168 547437584 615867282 821156376 923800923 1231734564 1642312752 1847601846 2463469128 2771402769 3695203692 4926938256 5542805538 7390407384 11085611076 14780814768 22171222152 44342444304