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2012144344 = 237172279311
BaseRepresentation
bin111011111101110…
…1110001011011000
312012020012112010121
41313323232023120
513110102104334
6531355123024
7100601642020
oct16773561330
95166175117
102012144344
11942891911
12481a43474
13260b39c72
1415133aa80
15bb9b0db4
hex77eee2d8

2012144344 has 64 divisors (see below), whose sum is σ = 4585973760. Its totient is φ = 807959040.

The previous prime is 2012144341. The next prime is 2012144347. The reversal of 2012144344 is 4434412102.

It is an interprime number because it is at equal distance from previous prime (2012144341) and next prime (2012144347).

It is a super-2 number, since 2×20121443442 = 8097449722182380672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012144341) 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, 211449 + ... + 220759.

It is an arithmetic number, because the mean of its divisors is an integer number (71655840).

Almost surely, 22012144344 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 2012144344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292986880).

2012144344 is an abundant number, since it is smaller than the sum of its proper divisors (2573829416).

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

2012144344 is a wasteful number, since it uses less digits than its factorization.

2012144344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9568 (or 9564 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2012144344 is about 44856.9319503686. The cubic root of 2012144344 is about 1262.4660580229.

Adding to 2012144344 its reverse (4434412102), we get a palindrome (6446556446).

The spelling of 2012144344 in words is "two billion, twelve million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 227 238 454 476 908 952 1589 1816 3178 3859 6356 7718 9311 12712 15436 18622 27013 30872 37244 54026 65177 74488 108052 130354 158287 216104 260708 316574 521416 633148 1108009 1266296 2113597 2216018 4227194 4432036 8454388 8864072 14795179 16908776 29590358 35931149 59180716 71862298 118361432 143724596 251518043 287449192 503036086 1006072172 2012144344