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13343022144 = 263248132
BaseRepresentation
bin11000110110100111…
…00101110001000000
31021102220020202101100
430123103211301000
5204311303202034
610044003134400
7651436550124
oct143323456100
937386222340
1013343022144
115727874031
122704674400
131348483a9a
1490813b584
1553160d099
hex31b4e5c40

13343022144 has 63 divisors (see below), whose sum is σ = 38253311733. Its totient is φ = 4446749952.

The previous prime is 13343022127. The next prime is 13343022179. The reversal of 13343022144 is 44122034331.

The square root of 13343022144 is 115512.

It is a perfect power (a square), and thus also a powerful number.

13343022144 is a `hidden beast` number, since 1 + 3 + 3 + 430 + 221 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9992001600 + 3351020544 = 99960^2 + 57888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2769882 + ... + 2774694.

Almost surely, 213343022144 is an apocalyptic number.

13343022144 is the 115512-nd square number.

It is an amenable number.

13343022144 is an abundant number, since it is smaller than the sum of its proper divisors (24910289589).

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

13343022144 is an frugal number, since it uses more digits than its factorization.

13343022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9644 (or 4818 counting only the distinct ones).

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

Adding to 13343022144 its reverse (44122034331), we get a palindrome (57465056475).

The spelling of 13343022144 in words is "thirteen billion, three hundred forty-three million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4813 9626 14439 19252 28878 38504 43317 57756 77008 86634 115512 154016 173268 231024 308032 346536 462048 693072 924096 1386144 2772288 23164969 46329938 69494907 92659876 138989814 185319752 208484721 277979628 370639504 416969442 555959256 741279008 833938884 1111918512 1482558016 1667877768 2223837024 3335755536 4447674048 6671511072 13343022144