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11144412114 = 23111910187991
BaseRepresentation
bin10100110000100001…
…00011101111010010
31001202200011210102020
422120100203233102
5140310432141424
65041503232310
7543111640263
oct123020435722
931680153366
1011144412114
1147a9803850
1221b02a8696
131087b1acc4
1477a14296a
154535b8079
hex298423bd2

11144412114 has 64 divisors (see below), whose sum is σ = 25848529920. Its totient is φ = 3167640000.

The previous prime is 11144412113. The next prime is 11144412127. The reversal of 11144412114 is 41121444111.

It is not an unprimeable number, because it can be changed into a prime (11144412113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82659 + ... + 170649.

It is an arithmetic number, because the mean of its divisors is an integer number (403883280).

Almost surely, 211144412114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11144412114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12924264960).

11144412114 is an abundant number, since it is smaller than the sum of its proper divisors (14704117806).

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

11144412114 is a wasteful number, since it uses less digits than its factorization.

11144412114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88127.

The product of its digits is 512, while the sum is 24.

Adding to 11144412114 its reverse (41121444111), we get a palindrome (52265856225).

The spelling of 11144412114 in words is "eleven billion, one hundred forty-four million, four hundred twelve thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 101 114 202 209 303 418 606 627 1111 1254 1919 2222 3333 3838 5757 6666 11514 21109 42218 63327 87991 126654 175982 263973 527946 967901 1671829 1935802 2903703 3343658 5015487 5807406 8887091 10030974 17774182 18390119 26661273 36780238 53322546 55170357 97758001 110340714 168854729 195516002 293274003 337709458 506564187 586548006 1013128374 1857402019 3714804038 5572206057 11144412114