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3144556433312 = 257210119856009
BaseRepresentation
bin101101110000100110001…
…010110100111110100000
3102010121122112200221122122
4231300212022310332200
5403010022421331222
610404331141323412
7443121016444400
oct55604612647640
912117575627578
103144556433312
111002665145688
12429529706568
1319a6b8397088
14ac2a9720800
1556be549ea42
hex2dc262b4fa0

3144556433312 has 72 divisors (see below), whose sum is σ = 7272899054820. Its totient is φ = 1334323737600.

The previous prime is 3144556433309. The next prime is 3144556433323. The reversal of 3144556433312 is 2133346554413.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2834926508176 + 309629925136 = 1683724^2 + 556444^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9769637 + ... + 10086372.

Almost surely, 23144556433312 is an apocalyptic number.

3144556433312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3144556433312 is an abundant number, since it is smaller than the sum of its proper divisors (4128342621508).

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

3144556433312 is a wasteful number, since it uses less digits than its factorization.

3144556433312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19856134 (or 19856119 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 44.

The spelling of 3144556433312 in words is "three trillion, one hundred forty-four billion, five hundred fifty-six million, four hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 101 112 196 202 224 392 404 707 784 808 1414 1568 1616 2828 3232 4949 5656 9898 11312 19796 22624 39592 79184 158368 19856009 39712018 79424036 138992063 158848072 277984126 317696144 555968252 635392288 972944441 1111936504 1945888882 2005456909 2223873008 3891777764 4010913818 4447746016 7783555528 8021827636 14038198363 15567111056 16043655272 28076396726 31134222112 32087310544 56152793452 64174621088 98267388541 112305586904 196534777082 224611173808 393069554164 449222347616 786139108328 1572278216656 3144556433312