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1334091990841 = 192312372532
BaseRepresentation
bin10011011010011110000…
…101000100011100111001
311201112112011110000202121
4103122132011010130321
5133324210022201331
62500512353201241
7165246020550601
oct23323605043471
94645464400677
101334091990841
11474870170535
12196680860221
1398a5c17c09c
14487db251c01
1524a81de5c11
hex1369e144739

1334091990841 has 81 divisors (see below), whose sum is σ = 1524016502253. Its totient is φ = 1167595715520.

The previous prime is 1334091990839. The next prime is 1334091990851. The reversal of 1334091990841 is 1480991904331.

The square root of 1334091990841 is 1155029.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 532565712441 + 801526278400 = 729771^2 + 895280^2 .

It is not a de Polignac number, because 1334091990841 - 21 = 1334091990839 is a prime.

It is a super-2 number, since 2×13340919908412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1334091990851) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 25171546971 + ... + 25171547023.

Almost surely, 21334091990841 is an apocalyptic number.

1334091990841 is the 1155029-th square number.

1334091990841 is the 577515-th centered octagonal number.

It is an amenable number.

1334091990841 is a deficient number, since it is larger than the sum of its proper divisors (189924511412).

1334091990841 is an frugal number, since it uses more digits than its factorization.

1334091990841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 52.

The spelling of 1334091990841 in words is "one trillion, three hundred thirty-four billion, ninety-one million, nine hundred ninety thousand, eight hundred forty-one".

Divisors: 1 19 31 37 53 361 589 703 961 1007 1147 1369 1643 1961 2809 11191 13357 18259 19133 21793 26011 31217 35557 37259 42439 50933 53371 60791 72557 87079 103933 346921 414067 494209 593123 675583 707921 806341 967727 1014049 1155029 1315609 1378583 1654501 1884521 1974727 2249267 2699449 3221923 3845521 12836077 15320479 18386813 21945551 24996571 26193077 31435519 35805899 37519813 42736073 51289531 61216537 69727277 73064899 99879613 119211151 474934849 680312081 811985387 974501089 1163114203 1324818263 1388233081 1897712647 2265011869 3695545681 25171546997 36056540293 43035225511 70215367939 1334091990841