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1320034313232 = 243249433185441
BaseRepresentation
bin10011001101011000001…
…011010010010000010000
311200012020110110000101100
4103031120023102100100
5133111412241010412
62450225420304400
7164240452350015
oct23153013222020
94605213400340
101320034313232
11469906a58258
121939b89a2100
139762b92735b
1447c6624370c
152450cbbcedc
hex133582d2410

1320034313232 has 60 divisors (see below), whose sum is σ = 3694357350684. Its totient is φ = 440000163840.

The previous prime is 1320034313203. The next prime is 1320034313263. The reversal of 1320034313232 is 2323134300231.

1320034313232 is a `hidden beast` number, since 1 + 3 + 200 + 3 + 431 + 3 + 23 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 282496502016 + 1037537811216 = 531504^2 + 1018596^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1320034313196 and 1320034313205.

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, 7025632 + ... + 7211072.

Almost surely, 21320034313232 is an apocalyptic number.

1320034313232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1320034313232 is an abundant number, since it is smaller than the sum of its proper divisors (2374323037452).

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

1320034313232 is a wasteful number, since it uses less digits than its factorization.

1320034313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234888 (or 234879 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1320034313232 its reverse (2323134300231), we get a palindrome (3643168613463).

The spelling of 1320034313232 in words is "one trillion, three hundred twenty billion, thirty-four million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 49433 98866 148299 185441 197732 296598 370882 395464 444897 556323 593196 741764 790928 889794 1112646 1186392 1483528 1668969 1779588 2225292 2372784 2967056 3337938 3559176 4450584 6675876 7118352 8901168 13351752 26703504 9166904953 18333809906 27500714859 36667619812 55001429718 73335239624 82502144577 110002859436 146670479248 165004289154 220005718872 330008578308 440011437744 660017156616 1320034313232