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13142213344 = 251325994057
BaseRepresentation
bin11000011110101011…
…00100001011100000
31020220220101121111101
430033111210023200
5203403401311334
610012031124144
7643450653541
oct141725441340
936826347441
1013142213344
115634489447
122669373654
1313159a5600
148c95c84c8
1551db94214
hex30f5642e0

13142213344 has 72 divisors (see below), whose sum is σ = 28070809200. Its totient is φ = 6054018048.

The previous prime is 13142213339. The next prime is 13142213389. The reversal of 13142213344 is 44331224131.

It is a happy number.

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, 3237364 + ... + 3241420.

It is an arithmetic number, because the mean of its divisors is an integer number (389872350).

Almost surely, 213142213344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13142213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14035404600).

13142213344 is an abundant number, since it is smaller than the sum of its proper divisors (14928595856).

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

13142213344 is a wasteful number, since it uses less digits than its factorization.

13142213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4692 (or 4671 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

Adding to 13142213344 its reverse (44331224131), we get a palindrome (57473437475).

The spelling of 13142213344 in words is "thirteen billion, one hundred forty-two million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 599 676 1198 1352 2396 2704 4057 4792 5408 7787 8114 9584 15574 16228 19168 31148 32456 52741 62296 64912 101231 105482 124592 129824 202462 210964 249184 404924 421928 685633 809848 843856 1371266 1619696 1687712 2430143 2742532 3239392 4860286 5485064 9720572 10970128 19441144 21940256 31591859 38882288 63183718 77764576 126367436 252734872 410694167 505469744 821388334 1010939488 1642776668 3285553336 6571106672 13142213344