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331204344444 = 22341699601669
BaseRepresentation
bin1001101000111010101…
…00010011101001111100
31011122220012101222010000
410310131110103221330
520411301303010234
6412053030314300
732633360322441
oct4643524235174
91148805358100
10331204344444
11118510244116
12542337b8990
132530387974c
141205d4cb9c8
158936dd0899
hex4d1d513a7c

331204344444 has 60 divisors (see below), whose sum is σ = 866344633000. Its totient is φ = 110336284512.

The previous prime is 331204344397. The next prime is 331204344461. The reversal of 331204344444 is 444443402133.

331204344444 is a `hidden beast` number, since 3 + 3 + 1 + 204 + 3 + 4 + 4 + 444 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 331204344399 and 331204344408.

It is a congruent number.

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, 249642 + ... + 851310.

Almost surely, 2331204344444 is an apocalyptic number.

It is an amenable number.

331204344444 is an abundant number, since it is smaller than the sum of its proper divisors (535140288556).

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

331204344444 is a wasteful number, since it uses less digits than its factorization.

331204344444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603384 (or 603373 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 331204344444 its reverse (444443402133), we get a palindrome (775647746577).

The spelling of 331204344444 in words is "three hundred thirty-one billion, two hundred four million, three hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1699 3398 5097 6796 10194 15291 20388 30582 45873 61164 91746 137619 183492 275238 550476 601669 1203338 1805007 2406676 3610014 5415021 7220028 10830042 16245063 21660084 32490126 48735189 64980252 97470378 194940756 1022235631 2044471262 3066706893 4088942524 6133413786 9200120679 12266827572 18400241358 27600362037 36800482716 55200724074 82801086111 110401448148 165602172222 331204344444