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13144313200 = 245234919413
BaseRepresentation
bin11000011110111011…
…00100110101110000
31020221001100021221211
430033131210311300
5203404421010300
610012144125504
7643504550554
oct141735446560
936831307854
1013144313200
115635693067
12266a006894
13131625c325
148c99b3864
1551de5b4ba
hex30f764d70

13144313200 has 60 divisors (see below), whose sum is σ = 31591614168. Its totient is φ = 5255660800.

The previous prime is 13144313137. The next prime is 13144313209. The reversal of 13144313200 is 231344131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144313209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1391694 + ... + 1401106.

Almost surely, 213144313200 is an apocalyptic number.

13144313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13144313200 is an abundant number, since it is smaller than the sum of its proper divisors (18447300968).

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

13144313200 is a wasteful number, since it uses less digits than its factorization.

13144313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12922 (or 12911 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13144313200 its reverse (231344131), we get a palindrome (13375657331).

The spelling of 13144313200 in words is "thirteen billion, one hundred forty-four million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 3491 6982 9413 13964 17455 18826 27928 34910 37652 47065 55856 69820 75304 87275 94130 139640 150608 174550 188260 235325 279280 349100 376520 470650 698200 753040 941300 1396400 1882600 3765200 32860783 65721566 131443132 164303915 262886264 328607830 525772528 657215660 821519575 1314431320 1643039150 2628862640 3286078300 6572156600 13144313200