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13243114016 = 2511291737499
BaseRepresentation
bin11000101010101100…
…11110001000100000
31021011221020220012022
430111112132020200
5204110214122031
610030033521012
7646114416566
oct142526361040
937157226168
1013243114016
115686435630
122697113168
131330873052
148d8b71a36
1552797597b
hex31559e220

13243114016 has 96 divisors (see below), whose sum is σ = 29597400000. Its totient is φ = 5777658880.

The previous prime is 13243114007. The next prime is 13243114039. The reversal of 13243114016 is 61041134231.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1762235 + ... + 1769733.

It is an arithmetic number, because the mean of its divisors is an integer number (308306250).

Almost surely, 213243114016 is an apocalyptic number.

13243114016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13243114016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798700000).

13243114016 is an abundant number, since it is smaller than the sum of its proper divisors (16354285984).

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

13243114016 is a wasteful number, since it uses less digits than its factorization.

13243114016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7722 (or 7714 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 13243114016 its reverse (61041134231), we get a palindrome (74284248247).

The spelling of 13243114016 in words is "thirteen billion, two hundred forty-three million, one hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 173 176 232 319 346 352 464 638 692 928 1276 1384 1903 2552 2768 3806 5017 5104 5536 7499 7612 10034 10208 14998 15224 20068 29996 30448 40136 55187 59992 60896 80272 82489 110374 119984 160544 164978 217471 220748 239968 329956 434942 441496 659912 869884 882992 1297327 1319824 1739768 1765984 2392181 2594654 2639648 3479536 4784362 5189308 6959072 9568724 10378616 14270597 19137448 20757232 28541194 37622483 38274896 41514464 57082388 75244966 76549792 114164776 150489932 228329552 300979864 413847313 456659104 601959728 827694626 1203919456 1655389252 3310778504 6621557008 13243114016