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13449493340 = 22523374211877
BaseRepresentation
bin11001000011010011…
…01111101101011100
31021201022121001101222
430201221233231130
5210021032241330
610102325152512
7654201543563
oct144151575534
937638531358
1013449493340
115781985458
12273425b738
131364551baa
14918334bda
1553ab400e5
hex321a6fb5c

13449493340 has 96 divisors (see below), whose sum is σ = 30356532864. Its totient is φ = 4992261120.

The previous prime is 13449493307. The next prime is 13449493361. The reversal of 13449493340 is 4339494431.

It is a super-2 number, since 2×134494933402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13449493291 and 13449493300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7164482 + ... + 7166358.

It is an arithmetic number, because the mean of its divisors is an integer number (316213884).

Almost surely, 213449493340 is an apocalyptic number.

13449493340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13449493340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178266432).

13449493340 is an abundant number, since it is smaller than the sum of its proper divisors (16907039524).

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

13449493340 is a wasteful number, since it uses less digits than its factorization.

13449493340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 44.

The spelling of 13449493340 in words is "thirteen billion, four hundred forty-nine million, four hundred ninety-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 421 460 740 842 851 1684 1702 1877 2105 3404 3754 4210 4255 7508 8420 8510 9385 9683 15577 17020 18770 19366 31154 37540 38732 43171 48415 62308 69449 77885 86342 96830 138898 155770 172684 193660 215855 277796 311540 347245 358271 431710 694490 716542 790217 863420 1388980 1433084 1580434 1597327 1791355 3160868 3194654 3582710 3951085 6389308 7165420 7902170 7986635 15804340 15973270 18174991 29238029 31946540 36349982 58476058 72699964 90874955 116952116 146190145 181749910 292380290 363499820 584760580 672474667 1344949334 2689898668 3362373335 6724746670 13449493340