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313733294161 = 76232712
BaseRepresentation
bin1001001000010111111…
…01100010100001010001
31002222210121112122200121
410210023331202201101
520120011210403121
6400043241150241
731444414000000
oct4441375424121
91088717478617
10313733294161
111110652a1491
125097878b381
132377b0c9181
1411283030c37
1582631ad141
hex490bf62851

313733294161 has 63 divisors (see below), whose sum is σ = 388092657673. Its totient is φ = 253599478440.

The previous prime is 313733294153. The next prime is 313733294191. The reversal of 313733294161 is 161492337313.

The square root of 313733294161 is 560119.

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

It is not a de Polignac number, because 313733294161 - 23 = 313733294153 is a prime.

It is a super-2 number, since 2×3137332941612 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313733294111) 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 62 ways as a sum of consecutive naturals, for example, 4418778756 + ... + 4418778826.

Almost surely, 2313733294161 is an apocalyptic number.

313733294161 is the 560119-th square number.

313733294161 is the 280060-th centered octagonal number.

It is an amenable number.

313733294161 is a deficient number, since it is larger than the sum of its proper divisors (74359363512).

313733294161 is an frugal number, since it uses more digits than its factorization.

313733294161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 101 counting only the distinct ones).

The product of its digits is 244944, while the sum is 43.

The spelling of 313733294161 in words is "three hundred thirteen billion, seven hundred thirty-three million, two hundred ninety-four thousand, one hundred sixty-one".

Divisors: 1 7 23 49 71 161 343 497 529 1127 1633 2401 3479 3703 5041 7889 11431 16807 24353 25921 35287 37559 55223 80017 115943 117649 170471 181447 247009 262913 386561 560119 811601 1193297 1270129 1729063 1840391 2666689 2705927 3920833 5681207 8353079 8890903 12103441 12882737 18666823 27445831 39768449 62236321 84724087 90179159 130667761 192120817 278379143 593068609 631254113 914674327 1948654001 4418778791 6402720289 13640578007 44819042023 313733294161