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3114304433044 = 2272931590320959
BaseRepresentation
bin101101010100011011000…
…000100110101110010100
3102000201120020020002220021
4231110123000212232110
5402011043413324134
610342405224114524
7441000236623030
oct55243300465624
912021506202807
103114304433044
11aa0850732072
124236a6305a44
131978a6a3bcbc
14aaa39a391c0
15560246990b4
hex2d51b026b94

3114304433044 has 96 divisors (see below), whose sum is σ = 6652683878400. Its totient is φ = 1246836689280.

The previous prime is 3114304433017. The next prime is 3114304433047. The reversal of 3114304433044 is 4403344034113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114304433047) 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, 148579837 + ... + 148600795.

It is an arithmetic number, because the mean of its divisors is an integer number (69298790400).

Almost surely, 23114304433044 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 3114304433044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326341939200).

3114304433044 is an abundant number, since it is smaller than the sum of its proper divisors (3538379445356).

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

3114304433044 is a wasteful number, since it uses less digits than its factorization.

3114304433044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26933 (or 26931 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 3114304433044 its reverse (4403344034113), we get a palindrome (7517648467157).

It can be divided in two parts, 311430 and 4433044, that added together give a palindrome (4744474).

The spelling of 3114304433044 in words is "three trillion, one hundred fourteen billion, three hundred four million, four hundred thirty-three thousand, forty-four".

Divisors: 1 2 4 7 14 28 29 31 58 62 116 124 203 217 406 434 812 868 899 1798 3596 5903 6293 11806 12586 20959 23612 25172 41321 41918 82642 83836 146713 165284 171187 182993 293426 342374 365986 586852 607811 649729 684748 731972 1198309 1215622 1280951 1299458 2396618 2431244 2561902 2598916 4254677 4548103 4793236 5123804 5306797 8509354 9096206 10613594 17018708 18192412 18842141 21227188 37147579 37684282 74295158 75368564 123720977 131894987 148590316 247441954 263789974 494883908 527579948 866046839 1732093678 3464187356 3587908333 3835350287 7175816666 7670700574 14351633332 15341401148 25115358331 26847452009 50230716662 53694904018 100461433324 107389808036 111225158323 222450316646 444900633292 778576108261 1557152216522 3114304433044