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455312614220431 = 114177972295259
BaseRepresentation
bin110011110000110101011101…
…0101000011110001010001111
32012201010110102221100022211021
41213201222322220132022033
5434134320213220023211
64252211421040335011
7164622152014222162
oct14741527250361217
92181113387308737
10455312614220431
11122092aa4830000
1243096775314467
1316709a45332836
148061368b63ad9
153798ad52ba771
hex19e1abaa1e28f

455312614220431 has 40 divisors (see below), whose sum is σ = 530967591277200. Its totient is φ = 389083322369280.

The previous prime is 455312614220419. The next prime is 455312614220449. The reversal of 455312614220431 is 134022416213554.

It is a happy number.

It is not a de Polignac number, because 455312614220431 - 223 = 455312605831823 is a prime.

It is a super-2 number, since 2×4553126142204312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455312614220411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 197223280 + ... + 199518538.

It is an arithmetic number, because the mean of its divisors is an integer number (13274189781930).

Almost surely, 2455312614220431 is an apocalyptic number.

455312614220431 is a deficient number, since it is larger than the sum of its proper divisors (75654977056769).

455312614220431 is an equidigital number, since it uses as much as digits as its factorization.

455312614220431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296117 (or 2296084 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 455312614220431 in words is "four hundred fifty-five trillion, three hundred twelve billion, six hundred fourteen million, two hundred twenty thousand, four hundred thirty-one".

Divisors: 1 11 17 121 187 797 1331 2057 8767 13549 14641 22627 96437 149039 248897 1060807 1639429 2295259 11668877 18033719 25247849 39019403 198370909 277726339 429213433 1829321423 3054989729 4721347763 20122535653 31098464191 33604887019 51934825393 221347892183 342083106101 571283079323 2434826814013 3762914167111 26783094954143 41392055838221 455312614220431