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1330334400341 = 37243714753789
BaseRepresentation
bin10011010110111110000…
…110111111111101010101
311201011211021212122122002
4103112332012333331111
5133244011101302331
62455051443045045
7165053632553342
oct23267606777525
94634737778562
101330334400341
114732120a6141
121959b2370785
13985b084315b
144856219d7c9
15249120a59cb
hex135be1bff55

1330334400341 has 8 divisors (see below), whose sum is σ = 1366850120760. Its totient is φ = 1293848192448.

The previous prime is 1330334400337. The next prime is 1330334400371. The reversal of 1330334400341 is 1430044330331.

It can be written as a sum of positive squares in 4 ways, for example, as 992603727025 + 337730673316 = 996295^2 + 581146^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1330334400341 - 22 = 1330334400337 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330334400301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7286726 + ... + 7467063.

It is an arithmetic number, because the mean of its divisors is an integer number (170856265095).

Almost surely, 21330334400341 is an apocalyptic number.

It is an amenable number.

1330334400341 is a deficient number, since it is larger than the sum of its proper divisors (36515720419).

1330334400341 is a wasteful number, since it uses less digits than its factorization.

1330334400341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14756263.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 1330334400341 its reverse (1430044330331), we get a palindrome (2760378730672).

The spelling of 1330334400341 in words is "one trillion, three hundred thirty billion, three hundred thirty-four million, four hundred thousand, three hundred forty-one".

Divisors: 1 37 2437 90169 14753789 545890193 35954983793 1330334400341