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444331102432 = 2572386244391
BaseRepresentation
bin1100111011101000011…
…00101001000011100000
31120110220012100201002111
412131310030221003200
524234442230234212
6540042313325104
744046640024420
oct6356414510340
91513805321074
10444331102432
11161492361838
1272145706794
1332b91aacab9
1417711a72480
15b858759ea7
hex67743290e0

444331102432 has 48 divisors (see below), whose sum is σ = 1043212165632. Its totient is φ = 182148151680.

The previous prime is 444331102427. The next prime is 444331102451. The reversal of 444331102432 is 234201133444.

It is a junction number, because it is equal to n+sod(n) for n = 444331102394 and 444331102403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43117044 + ... + 43127347.

It is an arithmetic number, because the mean of its divisors is an integer number (21733586784).

Almost surely, 2444331102432 is an apocalyptic number.

It is an amenable number.

444331102432 is an abundant number, since it is smaller than the sum of its proper divisors (598881063200).

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

444331102432 is a wasteful number, since it uses less digits than its factorization.

444331102432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86244431 (or 86244423 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 444331102432 its reverse (234201133444), we get a palindrome (678532235876).

The spelling of 444331102432 in words is "four hundred forty-four billion, three hundred thirty-one million, one hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 86244391 172488782 344977564 603710737 689955128 1207421474 1379910256 1983620993 2414842948 2759820512 3967241986 4829685896 7934483972 9659371792 13885346951 15868967944 19318743584 27770693902 31737935888 55541387804 63475871776 111082775608 222165551216 444331102432