Search a number
-
+
122400552434142 = 231741233125615557
BaseRepresentation
bin11011110101001010011001…
…011100101011100111011110
3121001101101012221200211002010
4123311022121130223213132
5112020402312410343032
61112154012034412050
734532101536203343
oct3365123134534736
9531341187624063
10122400552434142
1136000867967334
121188a069431026
13533b4268b2788
14223230b2067ca
15e23dbc7a0ccc
hex6f529972b9de

122400552434142 has 64 divisors (see below), whose sum is σ = 266662736069184. Its totient is φ = 37302795509760.

The previous prime is 122400552434129. The next prime is 122400552434189. The reversal of 122400552434142 is 241434255004221.

It is a self number, because there is not a number n which added to its sum of digits gives 122400552434142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61833373 + ... + 63782184.

It is an arithmetic number, because the mean of its divisors is an integer number (4166605251081).

Almost surely, 2122400552434142 is an apocalyptic number.

122400552434142 is an abundant number, since it is smaller than the sum of its proper divisors (144262183635042).

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

122400552434142 is a wasteful number, since it uses less digits than its factorization.

122400552434142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125615853.

The product of its (nonzero) digits is 307200, while the sum is 39.

The spelling of 122400552434142 in words is "one hundred twenty-two trillion, four hundred billion, five hundred fifty-two million, four hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 17 34 41 51 82 102 123 233 246 466 697 699 1394 1398 2091 3961 4182 7922 9553 11883 19106 23766 28659 57318 162401 324802 487203 974406 125615557 251231114 376846671 753693342 2135464469 4270928938 5150237837 6406393407 10300475674 12812786814 15450713511 29268424781 30901427022 58536849562 87554043229 87805274343 175108086458 175610548686 262662129687 497563221277 525324259374 995126442554 1200005416021 1492689663831 2400010832042 2985379327662 3600016248063 7200032496126 20400092072357 40800184144714 61200276217071 122400552434142