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314094114481 = 72232594
BaseRepresentation
bin1001001001000010111…
…01111101011010110001
31010000201202111020010011
410210201131331122301
520121231043130411
6400143130534521
731456354631200
oct4444135753261
91100652436104
10314094114481
1111122aa370a4
1250a59597441
1323807aa0414
14112b8d17237
158284bd2c21
hex492177d6b1

314094114481 has 45 divisors (see below), whose sum is σ = 388536703401. Its totient is φ = 253153441464.

The previous prime is 314094114463. The next prime is 314094114517. The reversal of 314094114481 is 184411490413.

The square root of 314094114481 is 560441.

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

It is not a de Polignac number, because 314094114481 - 213 = 314094106289 is a prime.

It is a super-2 number, since 2×3140941144812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314094114421) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5323629030 + ... + 5323629088.

Almost surely, 2314094114481 is an apocalyptic number.

314094114481 is the 560441-st square number.

314094114481 is the 280221-st centered octagonal number.

It is an amenable number.

314094114481 is a deficient number, since it is larger than the sum of its proper divisors (74442588920).

314094114481 is an frugal number, since it uses more digits than its factorization.

314094114481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 314094114481 in words is "three hundred fourteen billion, ninety-four million, one hundred fourteen thousand, four hundred eighty-one".

Divisors: 1 7 23 49 59 161 413 529 1127 1357 2891 3481 3703 9499 24367 25921 31211 66493 80063 170569 205379 218477 560441 1437653 1529339 1841449 3923087 4723717 10063571 12117361 12890143 33066019 84821527 90231001 108645491 231462133 278699303 593750689 760518437 1950895121 5323629059 6410083969 13656265847 44870587783 314094114481