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13342314240 = 283251158187
BaseRepresentation
bin11000110110100001…
…11000111100000000
31021102211220210022200
430123100320330000
5204311113023430
610043540033200
7651430541223
oct143320707400
937384823280
1013342314240
115727430192
122704392800
1313482967c8
14907dd55ba
1553151d460
hex31b438f00

13342314240 has 108 divisors (see below), whose sum is σ = 46163057304. Its totient is φ = 3557947392.

The previous prime is 13342314233. The next prime is 13342314253. The reversal of 13342314240 is 4241324331.

13342314240 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 231 + 424 + 0 = 666.

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, 567574 + ... + 590613.

Almost surely, 213342314240 is an apocalyptic number.

13342314240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13342314240 is an abundant number, since it is smaller than the sum of its proper divisors (32820743064).

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

13342314240 is a wasteful number, since it uses less digits than its factorization.

13342314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158214 (or 1158197 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13342314240 its reverse (4241324331), we get a palindrome (17583638571).

The spelling of 13342314240 in words is "thirteen billion, three hundred forty-two million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 1158187 2316374 3474561 4632748 5790935 6949122 9265496 10423683 11581870 13898244 17372805 18530992 20847366 23163740 27796488 34745610 37061984 41694732 46327480 52118415 55592976 69491220 74123968 83389464 92654960 104236830 111185952 138982440 148247936 166778928 185309920 208473660 222371904 277964880 296495872 333557856 370619840 416947320 444743808 555929760 667115712 741239680 833894640 889487616 1111859520 1334231424 1482479360 1667789280 2223719040 2668462848 3335578560 4447438080 6671157120 13342314240