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13143330144 = 253276519509
BaseRepresentation
bin11000011110110011…
…10100110101100000
31020220222111100110100
430033121310311200
5203404143031034
610012111102400
7643463314530
oct141731646540
936828440410
1013143330144
11563508151a
122669811a00
131315ca6a39
148c97d94c0
1551dd15099
hex30f674d60

13143330144 has 72 divisors (see below), whose sum is σ = 42715829520. Its totient is φ = 3755236608.

The previous prime is 13143330131. The next prime is 13143330157. The reversal of 13143330144 is 44103334131.

13143330144 is a `hidden beast` number, since 1 + 314 + 3 + 3 + 301 + 44 = 666.

13143330144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13143330131) and next prime (13143330157).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3257739 + ... + 3261770.

It is an arithmetic number, because the mean of its divisors is an integer number (593275410).

Almost surely, 213143330144 is an apocalyptic number.

13143330144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13143330144 is an abundant number, since it is smaller than the sum of its proper divisors (29572499376).

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

13143330144 is a wasteful number, since it uses less digits than its factorization.

13143330144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6519532 (or 6519521 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13143330144 its reverse (44103334131), we get a palindrome (57246664275).

The spelling of 13143330144 in words is "thirteen billion, one hundred forty-three million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 6519509 13039018 19558527 26078036 39117054 45636563 52156072 58675581 78234108 91273126 104312144 117351162 136909689 156468216 182546252 208624288 234702324 273819378 312936432 365092504 410729067 469404648 547638756 625872864 730185008 821458134 938809296 1095277512 1460370016 1642916268 1877618592 2190555024 3285832536 4381110048 6571665072 13143330144