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12144332144 = 2471913941057
BaseRepresentation
bin10110100111101101…
…11100110101110000
31011100100200222211102
423103312330311300
5144332422112034
65325023103532
7606643056110
oct132366746560
934310628742
1012144332144
11517218253a
12242b141ba8
1311b702a969
14832c6d040
154b128097e
hex2d3dbcd70

12144332144 has 80 divisors (see below), whose sum is σ = 28510675200. Its totient is φ = 4895188992.

The previous prime is 12144332129. The next prime is 12144332171. The reversal of 12144332144 is 44123344121.

It is a congruent 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, 275264 + ... + 316320.

It is an arithmetic number, because the mean of its divisors is an integer number (356383440).

Almost surely, 212144332144 is an apocalyptic number.

12144332144 is a gapful number since it is divisible by the number (14) 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 12144332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14255337600).

12144332144 is an abundant number, since it is smaller than the sum of its proper divisors (16366343056).

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

12144332144 is a wasteful number, since it uses less digits than its factorization.

12144332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41230 (or 41224 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

Adding to 12144332144 its reverse (44123344121), we get a palindrome (56267676265).

The spelling of 12144332144 in words is "twelve billion, one hundred forty-four million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 139 152 266 278 304 532 556 973 1064 1112 1946 2128 2224 2641 3892 5282 7784 10564 15568 18487 21128 36974 41057 42256 73948 82114 147896 164228 287399 295792 328456 574798 656912 780083 1149596 1560166 2299192 3120332 4598384 5460581 5706923 6240664 10921162 11413846 12481328 21842324 22827692 39948461 43684648 45655384 79896922 87369296 91310768 108431537 159793844 216863074 319587688 433726148 639175376 759020759 867452296 1518041518 1734904592 3036083036 6072166072 12144332144