Search a number
-
+
13340354880 = 263566121023
BaseRepresentation
bin11000110110010010…
…11010100101000000
31021102201020020120210
430123021122211000
5204310112324010
610043430034120
7651405100626
oct143311324500
937381206523
1013340354880
115726312086
1227037a8940
131347a5ba18
14907a45516
15531282b20
hex31b25a940

13340354880 has 112 divisors (see below), whose sum is σ = 42421722624. Its totient is φ = 3551877120.

The previous prime is 13340354849. The next prime is 13340354891. The reversal of 13340354880 is 8845304331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624049 + ... + 645071.

Almost surely, 213340354880 is an apocalyptic number.

13340354880 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 13340354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21210861312).

13340354880 is an abundant number, since it is smaller than the sum of its proper divisors (29081367744).

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

13340354880 is a wasteful number, since it uses less digits than its factorization.

13340354880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21704 (or 21694 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 13340354880 in words is "thirteen billion, three hundred forty million, three hundred fifty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 661 960 1322 1983 2644 3305 3966 5288 6610 7932 9915 10576 13220 15864 19830 21023 21152 26440 31728 39660 42046 42304 52880 63069 63456 79320 84092 105115 105760 126138 126912 158640 168184 210230 211520 252276 315345 317280 336368 420460 504552 630690 634560 672736 840920 1009104 1261380 1345472 1681840 2018208 2522760 3363680 4036416 5045520 6727360 10091040 13896203 20182080 27792406 41688609 55584812 69481015 83377218 111169624 138962030 166754436 208443045 222339248 277924060 333508872 416886090 444678496 555848120 667017744 833772180 889356992 1111696240 1334035488 1667544360 2223392480 2668070976 3335088720 4446784960 6670177440 13340354880