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12144211440 = 243550600881
BaseRepresentation
bin10110100111101100…
…11111010111110000
31011100100110212020220
423103312133113300
5144332404231230
65325020333040
7606642044154
oct132366372760
934310425226
1012144211440
1151720aa889
12242b0a4180
1311b6cb7a3a
14832c3b064
154b1259d10
hex2d3d9f5f0

12144211440 has 40 divisors (see below), whose sum is σ = 37647056208. Its totient is φ = 3238456320.

The previous prime is 12144211427. The next prime is 12144211441. The reversal of 12144211440 is 4411244121.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12144211440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144211441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25300201 + ... + 25300680.

Almost surely, 212144211440 is an apocalyptic number.

12144211440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12144211440 is an abundant number, since it is smaller than the sum of its proper divisors (25502844768).

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

12144211440 is a wasteful number, since it uses less digits than its factorization.

12144211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50600897 (or 50600891 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12144211440 its reverse (4411244121), we get a palindrome (16555455561).

The spelling of 12144211440 in words is "twelve billion, one hundred forty-four million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 50600881 101201762 151802643 202403524 253004405 303605286 404807048 506008810 607210572 759013215 809614096 1012017620 1214421144 1518026430 2024035240 2428842288 3036052860 4048070480 6072105720 12144211440