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3144344412 = 22311177917737
BaseRepresentation
bin1011101101101010…
…1110001101011100
322010010122020122110
42323122232031130
522414423010122
61240002114020
7140630325606
oct27332561534
98103566573
103144344412
11137399a550
1273904b910
133b1583131
1421b85c176
151360a790c
hexbb6ae35c

3144344412 has 96 divisors (see below), whose sum is σ = 8582353920. Its totient is φ = 885381120.

The previous prime is 3144344393. The next prime is 3144344417. The reversal of 3144344412 is 2144434413.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3144344412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144344417) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 168408 + ... + 186144.

It is an arithmetic number, because the mean of its divisors is an integer number (89399520).

Almost surely, 23144344412 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 3144344412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291176960).

3144344412 is an abundant number, since it is smaller than the sum of its proper divisors (5438009508).

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

3144344412 is a wasteful number, since it uses less digits than its factorization.

3144344412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17851 (or 17849 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 3144344412 is about 56074.4541837012. The cubic root of 3144344412 is about 1465.0193805945.

Adding to 3144344412 its reverse (2144434413), we get a palindrome (5288778825).

Subtracting from 3144344412 its reverse (2144434413), we obtain a palindrome (999909999).

It can be divided in two parts, 31443 and 44412, that added together give a triangular number (75855 = T389).

The spelling of 3144344412 in words is "three billion, one hundred forty-four million, three hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 79 102 132 158 187 204 237 316 374 474 561 748 869 948 1122 1343 1738 2244 2607 2686 3476 4029 5214 5372 8058 10428 14773 16116 17737 29546 35474 44319 53211 59092 70948 88638 106422 177276 195107 212844 301529 390214 585321 603058 780428 904587 1170642 1206116 1401223 1809174 2341284 2802446 3316819 3618348 4203669 5604892 6633638 8407338 9950457 13267276 15413453 16814676 19900914 23820791 30826906 39801828 46240359 47641582 61653812 71462373 92480718 95283164 142924746 184961436 262028701 285849492 524057402 786086103 1048114804 1572172206 3144344412