Search a number
-
+
1321389904608 = 253232171426223
BaseRepresentation
bin10011001110101000111…
…110011101001011100000
311200022201221020012011100
4103032220332131023200
5133122201303421413
62451012123314400
7164316162603324
oct23165076351340
94608657205140
101321389904608
1146a442175104
1219411697ba00
13977b6727727
1447d542b5984
152458bbdea73
hex133a8f9d2e0

1321389904608 has 72 divisors (see below), whose sum is σ = 3758873253408. Its totient is φ = 440326075392.

The previous prime is 1321389904579. The next prime is 1321389904619. The reversal of 1321389904608 is 8064099831231.

1321389904608 is a `hidden beast` number, since 1 + 3 + 2 + 13 + 89 + 90 + 460 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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, 213385 + ... + 1639607.

It is an arithmetic number, because the mean of its divisors is an integer number (52206572964).

Almost surely, 21321389904608 is an apocalyptic number.

1321389904608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1321389904608 is an abundant number, since it is smaller than the sum of its proper divisors (2437483348800).

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

1321389904608 is a wasteful number, since it uses less digits than its factorization.

1321389904608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429456 (or 1429445 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1321389904608 in words is "one trillion, three hundred twenty-one billion, three hundred eighty-nine million, nine hundred four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3217 6434 9651 12868 19302 25736 28953 38604 51472 57906 77208 102944 115812 154416 231624 308832 463248 926496 1426223 2852446 4278669 5704892 8557338 11409784 12836007 17114676 22819568 25672014 34229352 45639136 51344028 68458704 102688056 136917408 205376112 410752224 4588159391 9176318782 13764478173 18352637564 27528956346 36705275128 41293434519 55057912692 73410550256 82586869038 110115825384 146821100512 165173738076 220231650768 330347476152 440463301536 660694952304 1321389904608