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4144212204 = 22311431017229
BaseRepresentation
bin1111011100000011…
…1010100011101100
3101200211001210101220
43313000322203230
531441404242304
61523120503340
7204461136216
oct36700724354
911624053356
104144212204
111837332a70
12977a7ab50
13510775092
142b45735b6
15193c5ead9
hexf703a8ec

4144212204 has 96 divisors (see below), whose sum is σ = 10902608640. Its totient is φ = 1214304000.

The previous prime is 4144212167. The next prime is 4144212209. The reversal of 4144212204 is 4022124414.

It is not an unprimeable number, because it can be changed into a prime (4144212209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569662 + ... + 576890.

It is an arithmetic number, because the mean of its divisors is an integer number (113568840).

Almost surely, 24144212204 is an apocalyptic number.

4144212204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144212204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5451304320).

4144212204 is an abundant number, since it is smaller than the sum of its proper divisors (6758396436).

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

4144212204 is a wasteful number, since it uses less digits than its factorization.

4144212204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7391 (or 7389 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4144212204 is about 64375.5559509974. Note that the first 3 decimals coincide. The cubic root of 4144212204 is about 1606.2531601345.

Adding to 4144212204 its reverse (4022124414), we get a palindrome (8166336618).

The spelling of 4144212204 in words is "four billion, one hundred forty-four million, two hundred twelve thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 101 129 132 172 202 258 303 404 473 516 606 946 1111 1212 1419 1892 2222 2838 3333 4343 4444 5676 6666 7229 8686 13029 13332 14458 17372 21687 26058 28916 43374 47773 52116 79519 86748 95546 143319 159038 191092 238557 286638 310847 318076 477114 573276 621694 730129 932541 954228 1243388 1460258 1865082 2190387 2920516 3419317 3730164 4380774 6838634 8031419 8761548 10257951 13677268 16062838 20515902 24094257 31395547 32125676 41031804 48188514 62791094 94186641 96377028 125582188 188373282 345351017 376746564 690702034 1036053051 1381404068 2072106102 4144212204