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12240114432144 = 2431032519863551
BaseRepresentation
bin1011001000011101111110…
…1011000011100010010000
31121100010212121202002011220
42302013133223003202100
53101020223243312034
642011010403405040
72402214306011514
oct262073753034220
947303777662156
1012240114432144
11399a004552665
121458271683780
136aa3126b8b31
143045d3538144
151635d7e32749
hexb21dfac3890

12240114432144 has 80 divisors (see below), whose sum is σ = 32054492381184. Its totient is φ = 4024328400000.

The previous prime is 12240114432097. The next prime is 12240114432149. The reversal of 12240114432144 is 44123441104221.

It is not an unprimeable number, because it can be changed into a prime (12240114432149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3690832 + ... + 6172719.

Almost surely, 212240114432144 is an apocalyptic number.

It is an amenable number.

12240114432144 is an abundant number, since it is smaller than the sum of its proper divisors (19814377949040).

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

12240114432144 is a wasteful number, since it uses less digits than its factorization.

12240114432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9863916 (or 9863910 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 12240114432144 its reverse (44123441104221), we get a palindrome (56363555536365).

The spelling of 12240114432144 in words is "twelve trillion, two hundred forty billion, one hundred fourteen million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 251 309 412 502 618 753 824 1004 1236 1506 1648 2008 2472 3012 4016 4944 6024 12048 25853 51706 77559 103412 155118 206824 310236 413648 620472 1240944 9863551 19727102 29590653 39454204 59181306 78908408 118362612 157816816 236725224 473450448 1015945753 2031891506 2475751301 3047837259 4063783012 4951502602 6095674518 7427253903 8127566024 9903005204 12191349036 14854507806 16255132048 19806010408 24382698072 29709015612 39612020816 48765396144 59418031224 118836062448 255002384003 510004768006 765007152009 1020009536012 1530014304018 2040019072024 3060028608036 4080038144048 6120057216072 12240114432144