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10404044403312 = 2437197315694079
BaseRepresentation
bin1001011101100110000101…
…0111101111001001110000
31100211121122202001121011110
42113121201113233021300
52330424440331401222
634043315122513320
72122444630166520
oct227314127571160
940747582047143
1010404044403312
11335136a91849a
121200459505840
135a6135664101
1427d7b64c3680
1513097693330c
hex976615ef270

10404044403312 has 80 divisors (see below), whose sum is σ = 30732273008640. Its totient is φ = 2971077294336.

The previous prime is 10404044403293. The next prime is 10404044403317. The reversal of 10404044403312 is 21330444040401.

It is a self number, because there is not a number n which added to its sum of digits gives 10404044403312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10404044403317) by changing a digit.

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, 7184112 + ... + 8509967.

It is an arithmetic number, because the mean of its divisors is an integer number (384153412608).

Almost surely, 210404044403312 is an apocalyptic number.

10404044403312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10404044403312 is an abundant number, since it is smaller than the sum of its proper divisors (20328228605328).

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

10404044403312 is a wasteful number, since it uses less digits than its factorization.

10404044403312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15696070 (or 15696064 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 10404044403312 its reverse (21330444040401), we get a palindrome (31734488443713).

The spelling of 10404044403312 in words is "ten trillion, four hundred four billion, forty-four million, four hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1973 3946 5919 7892 11838 13811 15784 23676 27622 31568 41433 47352 55244 82866 94704 110488 165732 220976 331464 662928 15694079 31388158 47082237 62776316 94164474 109858553 125552632 188328948 219717106 251105264 329575659 376657896 439434212 659151318 753315792 878868424 1318302636 1757736848 2636605272 5273210544 30964417867 61928835734 92893253601 123857671468 185786507202 216750925069 247715342936 371573014404 433501850138 495430685872 650252775207 743146028808 867003700276 1300505550414 1486292057616 1734007400552 2601011100828 3468014801104 5202022201656 10404044403312