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133314311424 = 283724798049
BaseRepresentation
bin111110000101000100…
…1101111010100000000
3110202002220101201011210
41330022021233110000
54141011430431144
6141124352210120
712426436643610
oct1741211572400
9422086351153
10133314311424
11515a14a9388
1221a06839940
13c757727c58
14664972ca40
153703ce1ab9
hex1f0a26f500

133314311424 has 72 divisors (see below), whose sum is σ = 405497713600. Its totient is φ = 38089801728.

The previous prime is 133314311399. The next prime is 133314311441. The reversal of 133314311424 is 424113413331.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133314311391 and 133314311400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12393649 + ... + 12404400.

Almost surely, 2133314311424 is an apocalyptic number.

133314311424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133314311424 is an abundant number, since it is smaller than the sum of its proper divisors (272183402176).

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

133314311424 is an equidigital number, since it uses as much as digits as its factorization.

133314311424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24798075 (or 24798061 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 133314311424 its reverse (424113413331), we get a palindrome (557427724755).

The spelling of 133314311424 in words is "one hundred thirty-three billion, three hundred fourteen million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 24798049 49596098 74394147 99192196 148788294 173586343 198384392 297576588 347172686 396768784 520759029 595153176 694345372 793537568 1041518058 1190306352 1388690744 1587075136 2083036116 2380612704 2777381488 3174150272 4166072232 4761225408 5554762976 6348300544 8332144464 9522450816 11109525952 16664288928 19044901632 22219051904 33328577856 44438103808 66657155712 133314311424