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2012414144 = 26132672777
BaseRepresentation
bin111011111110011…
…0000000011000000
312012020201020020012
41313330300003000
513110134223034
6531405004052
7100604144426
oct16774600300
95166636205
102012414144
11942a56594
12481b53628
13260c02a00
141513ab116
15bba15cce
hex77f300c0

2012414144 has 84 divisors (see below), whose sum is σ = 4390317864. Its totient is φ = 914614272.

The previous prime is 2012414143. The next prime is 2012414153. The reversal of 2012414144 is 4414142102.

It is not an unprimeable number, because it can be changed into a prime (2012414143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 723284 + ... + 726060.

Almost surely, 22012414144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195158932).

2012414144 is an abundant number, since it is smaller than the sum of its proper divisors (2377903720).

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

2012414144 is a wasteful number, since it uses less digits than its factorization.

2012414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 2012414144 is about 44859.9391885455. The cubic root of 2012414144 is about 1262.5224817615.

Adding to 2012414144 its reverse (4414142102), we get a palindrome (6426556246).

The spelling of 2012414144 in words is "two billion, twelve million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 134 169 208 268 338 416 536 676 832 871 1072 1352 1742 2144 2704 2777 3484 4288 5408 5554 6968 10816 11108 11323 13936 22216 22646 27872 36101 44432 45292 55744 72202 88864 90584 144404 177728 181168 186059 288808 362336 372118 469313 577616 724672 744236 938626 1155232 1488472 1877252 2310464 2418767 2976944 3754504 4837534 5953888 7509008 9675068 11907776 15018016 19350136 30036032 31443971 38700272 62887942 77400544 125775884 154801088 251551768 503103536 1006207072 2012414144