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714856658417 = 112331181150329
BaseRepresentation
bin10100110011100001100…
…01101111010111110001
32112100011120220211201222
422121300301233113301
543203011301032132
61304222311034425
7102434546224316
oct12316061572761
92470146824658
10714856658417
11256194a46aa0
12b666406ba15
13525453a8995
1426856494d0d
15138dd505412
hexa670c6f5f1

714856658417 has 32 divisors (see below), whose sum is σ = 840480399360. Its totient is φ = 601218288000.

The previous prime is 714856658413. The next prime is 714856658423.

714856658417 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 714856658417 - 22 = 714856658413 is a prime.

It is a super-2 number, since 2×7148566584172 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 714856658417.

It is not an unprimeable number, because it can be changed into a prime (714856658413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14178509 + ... + 14228837.

It is an arithmetic number, because the mean of its divisors is an integer number (26265012480).

Almost surely, 2714856658417 is an apocalyptic number.

It is an amenable number.

714856658417 is a deficient number, since it is larger than the sum of its proper divisors (125623740943).

714856658417 is a wasteful number, since it uses less digits than its factorization.

714856658417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52205.

The product of its digits is 45158400, while the sum is 62.

The spelling of 714856658417 in words is "seven hundred fourteen billion, eight hundred fifty-six million, six hundred fifty-eight thousand, four hundred seventeen".

Divisors: 1 11 23 31 253 341 713 1811 7843 19921 41653 50329 56141 458183 553619 617551 1157567 1291243 1560199 12733237 14203673 17162189 35884577 91145819 394730347 1002604009 2096353837 2825520389 23059892207 31080724279 64986968947 714856658417