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4013344412 = 2272117923563
BaseRepresentation
bin1110111100110110…
…1100011010011100
3101100200211000112122
43233031230122130
531204404010122
61502123522112
7201311602400
oct35715543234
911320730478
104013344412
11177a479070
12940089338
134bc61460c
142a1029100
1518750e142
hexef36c69c

4013344412 has 72 divisors (see below), whose sum is σ = 9025954560. Its totient is φ = 1543782240.

The previous prime is 4013344403. The next prime is 4013344441. The reversal of 4013344412 is 2144433104.

It is a super-2 number, since 2×40133444122 = 32213866738663251488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158543 + ... + 182105.

It is an arithmetic number, because the mean of its divisors is an integer number (125360480).

Almost surely, 24013344412 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 4013344412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512977280).

4013344412 is an abundant number, since it is smaller than the sum of its proper divisors (5012610148).

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

4013344412 is a wasteful number, since it uses less digits than its factorization.

4013344412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23671 (or 23662 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 4013344412 is about 63350.9622026375. The cubic root of 4013344412 is about 1589.1643370565.

Adding to 4013344412 its reverse (2144433104), we get a palindrome (6157777516).

The spelling of 4013344412 in words is "four billion, thirteen million, three hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 79 98 154 158 196 308 316 539 553 869 1078 1106 1738 2156 2212 3476 3871 6083 7742 12166 15484 23563 24332 42581 47126 85162 94252 164941 170324 259193 329882 518386 659764 1036772 1154587 1814351 1861477 2309174 3628702 3722954 4618348 7257404 7445908 12700457 13030339 20476247 25400914 26060678 40952494 50801828 52121356 81904988 91212373 143333729 182424746 286667458 364849492 573334916 1003336103 2006672206 4013344412