Search a number
-
+
3140359675236 = 223272421932
BaseRepresentation
bin101101101100101100000…
…001011101110101100100
3102010012211001202112212100
4231230230001131311210
5402422424034101421
610402354502252100
7442612016545200
oct55545401356544
912105731675770
103140359675236
111000901193183
12428758127030
1319a199a84b84
14abdcc1cdb00
1556a4bd10c26
hex2db2c05dd64

3140359675236 has 81 divisors (see below), whose sum is σ = 9234371714841. Its totient is φ = 897224356224.

The previous prime is 3140359675177. The next prime is 3140359675237. The reversal of 3140359675236 is 6325769530413.

The square root of 3140359675236 is 1772106.

It is a perfect power (a square), and thus also a powerful number.

3140359675236 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 3 + 59 + 67 + 523 + 6 = 666.

3140359675236 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1754220780900 + 1386138894336 = 1324470^2 + 1177344^2 .

It is not an unprimeable number, because it can be changed into a prime (3140359675237) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74407356 + ... + 74449548.

Almost surely, 23140359675236 is an apocalyptic number.

3140359675236 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3140359675236 is the 1772106-th square number.

It is an amenable number.

3140359675236 is an abundant number, since it is smaller than the sum of its proper divisors (6094012039605).

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

3140359675236 is an frugal number, since it uses more digits than its factorization.

3140359675236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84410 (or 42205 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 3140359675236 in words is "three trillion, one hundred forty billion, three hundred fifty-nine million, six hundred seventy-five thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 42193 84386 126579 168772 253158 295351 379737 506316 590702 759474 886053 1181404 1518948 1772106 2067457 2658159 3544212 4134914 5316318 6202371 8269828 10632636 12404742 18607113 24809484 37214226 74428452 1780249249 3560498498 5340747747 7120996996 10681495494 12461744743 16022243241 21362990988 24923489486 32044486482 37385234229 49846978972 64088972964 74770468458 87232213201 112155702687 149540936916 174464426402 224311405374 261696639603 348928852804 448622810748 523393279206 785089918809 1046786558412 1570179837618 3140359675236