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3058053115441 = 29247212832
BaseRepresentation
bin101100100000000010001…
…010110110111000110001
3101211100100222110002122211
4230200002022312320301
5400100343044143231
610300503351132121
7433636256411362
oct54400212667061
911740328402584
103058053115441
11a79a05295635
12414807974041
131924b0b1c19c
14a8020d99b69
15548310c6eb1
hex2c8022b6e31

3058053115441 has 27 divisors (see below), whose sum is σ = 3238483269931. Its totient is φ = 2887529304464.

The previous prime is 3058053115393. The next prime is 3058053115451. The reversal of 3058053115441 is 1445113508503.

It is a happy number.

The square root of 3058053115441 is 1748729.

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

It can be written as a sum of positive squares in only one way, i.e., 1603568875041 + 1454484240400 = 1266321^2 + 1206020^2 .

It is not a de Polignac number, because 3058053115441 - 29 = 3058053114929 is a prime.

It is a super-3 number, since 3×30580531154413 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3058053115394 and 3058053115403.

It is not an unprimeable number, because it can be changed into a prime (3058053115451) 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 26 ways as a sum of consecutive naturals, for example, 2383516986 + ... + 2383518268.

Almost surely, 23058053115441 is an apocalyptic number.

3058053115441 is the 1748729-th square number.

3058053115441 is the 874365-th centered octagonal number.

It is an amenable number.

3058053115441 is a deficient number, since it is larger than the sum of its proper divisors (180430154490).

3058053115441 is an frugal number, since it uses more digits than its factorization.

3058053115441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 3058053115441 in words is "three trillion, fifty-eight billion, fifty-three million, one hundred fifteen thousand, four hundred forty-one".

Divisors: 1 29 47 841 1283 1363 2209 37207 39527 60301 64061 1079003 1646089 1748729 1857769 2834147 47736581 50713141 77366183 82190263 1384360849 2243619307 2383517627 3636210601 65064959903 105450107429 3058053115441