Search a number
-
+
6141072133735 = 57111131409100183
BaseRepresentation
bin101100101011101010001…
…1011000100111001100111
3210202002011212122110122021
41121113110123010321213
51301103403431234420
621021100344244011
71202451330602620
oct131272433047147
923662155573567
106141072133735
111a58461138530
12832220770607
13357140096a46
1417332d984a47
15a9b23d887aa
hex595d46c4e67

6141072133735 has 64 divisors (see below), whose sum is σ = 9275659868160. Its totient is φ = 3791592161280.

The previous prime is 6141072133723. The next prime is 6141072133799. The reversal of 6141072133735 is 5373312701416.

It is not a de Polignac number, because 6141072133735 - 235 = 6106712395367 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6141072133691 and 6141072133700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61248454 + ... + 61348636.

It is an arithmetic number, because the mean of its divisors is an integer number (144932185440).

Almost surely, 26141072133735 is an apocalyptic number.

6141072133735 is a deficient number, since it is larger than the sum of its proper divisors (3134587734425).

6141072133735 is a wasteful number, since it uses less digits than its factorization.

6141072133735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101728.

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 6141072133735 in words is "six trillion, one hundred forty-one billion, seventy-two million, one hundred thirty-three thousand, seven hundred thirty-five".

Divisors: 1 5 7 11 35 55 77 113 385 565 791 1243 1409 3955 6215 7045 8701 9863 15499 43505 49315 77495 100183 108493 159217 500915 542465 701281 796085 1102013 1114519 1751387 3506405 5510065 5572595 7714091 8756935 11320679 12259709 38570455 56603395 61298545 79244753 124527469 141157847 396223765 622637345 705789235 871692283 988104929 1552736317 4358461415 4940524645 7763681585 10869154219 15950836711 54345771095 79754183555 111655856977 175459203821 558279284885 877296019105 1228214426747 6141072133735