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122434140422214 = 23223378989807057
BaseRepresentation
bin11011110101101001101011…
…011100101100000001000110
3121001111120220202102101210100
4123311221223130230001012
5112021430104422002324
61112221245001504530
734534401064324665
oct3365515334540106
9531446822371710
10122434140422214
1136014033464965
1211894681aa2146
13534164a41042a
142233bb5d94ddc
15e24bd63b74c9
hex6f5a6b72c046

122434140422214 has 96 divisors (see below), whose sum is σ = 287483169504960. Its totient is φ = 37555155449856.

The previous prime is 122434140422213. The next prime is 122434140422281. The reversal of 122434140422214 is 412224041434221.

122434140422214 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 3 + 4 + 14 + 0 + 422 + 214 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122434140422213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43540227 + ... + 46266830.

It is an arithmetic number, because the mean of its divisors is an integer number (2994616349010).

Almost surely, 2122434140422214 is an apocalyptic number.

122434140422214 is an abundant number, since it is smaller than the sum of its proper divisors (165049029082746).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122434140422214 is a wasteful number, since it uses less digits than its factorization.

122434140422214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89807214 (or 89807211 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 122434140422214 its reverse (412224041434221), we get a palindrome (534658181856435).

The spelling of 122434140422214 in words is "one hundred twenty-two trillion, four hundred thirty-four billion, one hundred forty million, four hundred twenty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 89 111 138 178 207 222 267 333 414 534 666 801 851 1602 1702 2047 2553 3293 4094 5106 6141 6586 7659 9879 12282 15318 18423 19758 29637 36846 59274 75739 151478 227217 454434 681651 1363302 89807057 179614114 269421171 538842342 808263513 1616527026 2065562311 3322861109 4131124622 6196686933 6645722218 7992828073 9968583327 12393373866 15985656146 18590060799 19937166654 23978484219 29905749981 37180121598 47956968438 59811499962 71935452657 76425805507 143870905314 152851611014 183835045679 229277416521 295734638701 367670091358 458554833042 551505137037 591469277402 687832249563 887203916103 1103010274074 1375664499126 1654515411111 1774407832206 2661611748309 3309030822222 5323223496618 6801896690123 13603793380246 20405690070369 40811380140738 61217070211107 122434140422214