Search a number
-
+
3144343244340 = 2235197863308249
BaseRepresentation
bin101101110000011001011…
…101100100111000110100
3102010121002200112211100210
4231300121131210320310
5403004103332304330
610404254044105420
7443112520406244
oct55603135447064
912117080484323
103144343244340
111002565874651
1242948a235270
1319a68317285c
14ac2892a7b24
1556bd18dc8b0
hex2dc19764e34

3144343244340 has 96 divisors (see below), whose sum is σ = 8859134592000. Its totient is φ = 833265857536.

The previous prime is 3144343244333. The next prime is 3144343244377. The reversal of 3144343244340 is 434423434413.

3144343244340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×31443432443403 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10046536 + ... + 10354784.

It is an arithmetic number, because the mean of its divisors is an integer number (92282652000).

Almost surely, 23144343244340 is an apocalyptic number.

3144343244340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3144343244340 is an abundant number, since it is smaller than the sum of its proper divisors (5714791347660).

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

3144343244340 is a wasteful number, since it uses less digits than its factorization.

3144343244340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309321 (or 309319 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 39.

Adding to 3144343244340 its reverse (434423434413), we get a palindrome (3578766678753).

The spelling of 3144343244340 in words is "three trillion, one hundred forty-four billion, three hundred forty-three million, two hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 197 394 591 788 863 985 1182 1726 1970 2364 2589 2955 3452 3940 4315 5178 5910 8630 10356 11820 12945 17260 25890 51780 170011 308249 340022 510033 616498 680044 850055 924747 1020066 1232996 1541245 1700110 1849494 2040132 2550165 3082490 3400220 3698988 4623735 5100330 6164980 9247470 10200660 18494940 60725053 121450106 182175159 242900212 266018887 303625265 364350318 532037774 607250530 728700636 798056661 910875795 1064075548 1214501060 1330094435 1596113322 1821751590 2660188870 3192226644 3643503180 3990283305 5320377740 7980566610 15961133220 52405720739 104811441478 157217162217 209622882956 262028603695 314434324434 524057207390 628868648868 786085811085 1048114414780 1572171622170 3144343244340