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431422142120 = 235232232102857
BaseRepresentation
bin1100100011100101100…
…00110111011010101000
31112020120112212120121022
412101302300313122220
524032023032021440
6530105333432012
743112020462544
oct6216260673250
91466515776538
10431422142120
11156a686088a2
126b74249b608
13318b5535348
1416c49444a24
15b3502dccb5
hex6472c376a8

431422142120 has 64 divisors (see below), whose sum is σ = 1017446814720. Its totient is φ = 164325579264.

The previous prime is 431422142077. The next prime is 431422142131. The reversal of 431422142120 is 21241224134.

It is a super-2 number, since 2×4314221421202 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 431422142120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846269 + ... + 1256588.

It is an arithmetic number, because the mean of its divisors is an integer number (15897606480).

Almost surely, 2431422142120 is an apocalyptic number.

431422142120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431422142120 is an abundant number, since it is smaller than the sum of its proper divisors (586024672600).

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

431422142120 is a wasteful number, since it uses less digits than its factorization.

431422142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103114 (or 2103110 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 431422142120 its reverse (21241224134), we get a palindrome (452663366254).

The spelling of 431422142120 in words is "four hundred thirty-one billion, four hundred twenty-two million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 223 230 446 460 892 920 1115 1784 2230 4460 5129 8920 10258 20516 25645 41032 51290 102580 205160 2102857 4205714 8411428 10514285 16822856 21028570 42057140 48365711 84114280 96731422 193462844 241828555 386925688 468937111 483657110 937874222 967314220 1875748444 1934628440 2344685555 3751496888 4689371110 9378742220 10785553553 18757484440 21571107106 43142214212 53927767765 86284428424 107855535530 215711071060 431422142120