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305505442404 = 223250916672421
BaseRepresentation
bin1000111001000011000…
…10110001101001100100
31002012120012101110221100
410130201202301221210
520001133343124104
6352203001520100
731033465262001
oct4344142615144
91065505343840
10305505442404
111086229486a8
124b2611a3030
1322a695c9836
1410b023b48a8
157e30ba6139
hex47218b1a64

305505442404 has 36 divisors (see below), whose sum is σ = 773767105020. Its totient is φ = 101635072320.

The previous prime is 305505442391. The next prime is 305505442427. The reversal of 305505442404 is 404244505503.

305505442404 is a `hidden beast` number, since 30 + 550 + 54 + 4 + 24 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96473602404 + 209031840000 = 310602^2 + 457200^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3055054424042 (a number of 24 digits) contains 22 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 11 ways as a sum of consecutive naturals, for example, 8317887 + ... + 8354534.

It is an arithmetic number, because the mean of its divisors is an integer number (21493530695).

Almost surely, 2305505442404 is an apocalyptic number.

It is an amenable number.

305505442404 is an abundant number, since it is smaller than the sum of its proper divisors (468261662616).

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

305505442404 is a wasteful number, since it uses less digits than its factorization.

305505442404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16672940 (or 16672935 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 305505442404 its reverse (404244505503), we get a palindrome (709749947907).

The spelling of 305505442404 in words is "three hundred five billion, five hundred five million, four hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 509 1018 1527 2036 3054 4581 6108 9162 18324 16672421 33344842 50017263 66689684 100034526 150051789 200069052 300103578 600207156 8486262289 16972524578 25458786867 33945049156 50917573734 76376360601 101835147468 152752721202 305505442404