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413322432410142 = 232711638392364877
BaseRepresentation
bin101110111111010100010000…
…0110000101111001000011110
32000012110020102222020011211200
41131332220200300233020132
5413133333320144111032
64023021412033100330
7153026363116654143
oct13576504060571036
92005406388204750
10413322432410142
1110a774071890422
123a4347a63b76a6
13149821a4635328
14740ccabb523ca
1532bb6e951947c
hex177ea20c2f21e

413322432410142 has 96 divisors (see below), whose sum is σ = 914805945930240. Its totient is φ = 134839364627520.

The previous prime is 413322432410137. The next prime is 413322432410149. The reversal of 413322432410142 is 241014234223314.

413322432410142 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 224 + 3 + 2 + 410 + 14 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 413322432410097 and 413322432410106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413322432410149) 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, 173593008 + ... + 175957884.

It is an arithmetic number, because the mean of its divisors is an integer number (9529228603440).

Almost surely, 2413322432410142 is an apocalyptic number.

413322432410142 is an abundant number, since it is smaller than the sum of its proper divisors (501483513520098).

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

413322432410142 is a wasteful number, since it uses less digits than its factorization.

413322432410142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365958 (or 2365955 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 413322432410142 its reverse (241014234223314), we get a palindrome (654336666633456).

The spelling of 413322432410142 in words is "four hundred thirteen trillion, three hundred twenty-two billion, four hundred thirty-two million, four hundred ten thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 71 142 163 213 326 426 489 639 839 978 1278 1467 1678 2517 2934 5034 7551 11573 15102 23146 34719 59569 69438 104157 119138 136757 178707 208314 273514 357414 410271 536121 820542 1072242 1230813 2364877 2461626 4729754 7094631 9709747 14189262 19419494 21283893 29129241 42567786 58258482 87387723 167906267 174775446 335812534 385474951 503718801 770949902 1007437602 1156424853 1511156403 1984131803 2312849706 3022312806 3469274559 3968263606 5952395409 6938549118 11904790818 17857186227 27368721521 35714372454 54737443042 82106164563 140873358013 164212329126 246318493689 281746716026 323413483889 422620074039 492636987378 646826967778 845240148078 970240451667 1267860222117 1940480903334 2535720444234 2910721355001 5821442710002 22962357356119 45924714712238 68887072068357 137774144136714 206661216205071 413322432410142