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12144411114 = 2311218192419
BaseRepresentation
bin10110100111101110…
…10000000111101010
31011100100212000011020
423103313100013222
5144332432123424
65325024513310
7606643535253
oct132367200752
934310760136
1012144411114
115172226900
12242b17b836
1311b70578a4
14832c8db2a
154b1299079
hex2d3dd01ea

12144411114 has 48 divisors (see below), whose sum is σ = 26845422240. Its totient is φ = 3659752800.

The previous prime is 12144411077. The next prime is 12144411119. The reversal of 12144411114 is 41111444121.

It is not an unprimeable number, because it can be changed into a prime (12144411119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85197 + ... + 177615.

It is an arithmetic number, because the mean of its divisors is an integer number (559279630).

Almost surely, 212144411114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12144411114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13422711120).

12144411114 is an abundant number, since it is smaller than the sum of its proper divisors (14701011126).

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

12144411114 is a wasteful number, since it uses less digits than its factorization.

12144411114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92627 (or 92616 counting only the distinct ones).

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

Adding to 12144411114 its reverse (41111444121), we get a palindrome (53255855235).

The spelling of 12144411114 in words is "twelve billion, one hundred forty-four million, four hundred eleven thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 181 242 362 363 543 726 1086 1991 3982 5973 11946 21901 43802 65703 92419 131406 184838 277257 554514 1016609 2033218 3049827 6099654 11182699 16727839 22365398 33455678 33548097 50183517 67096194 100367034 184006229 368012458 552018687 1104037374 2024068519 4048137038 6072205557 12144411114