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342200150032 = 24134347814049
BaseRepresentation
bin1001111101011001011…
…01111110100000010000
31012201021111221202200211
410332230231332200100
521101311214300112
6421112104453504
733503016165616
oct4765455764020
91181244852624
10342200150032
11122143077654
12563a217a294
1326366965ba0
14127c39c96b6
158d7c3e20a7
hex4facb7e810

342200150032 has 80 divisors (see below), whose sum is σ = 746164742400. Its totient is φ = 150983110656.

The previous prime is 342200150029. The next prime is 342200150053. The reversal of 342200150032 is 230051002243.

It is a junction number, because it is equal to n+sod(n) for n = 342200149985 and 342200150012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13344 + ... + 827392.

It is an arithmetic number, because the mean of its divisors is an integer number (9327059280).

Almost surely, 2342200150032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342200150032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373082371200).

342200150032 is an abundant number, since it is smaller than the sum of its proper divisors (403964592368).

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

342200150032 is a wasteful number, since it uses less digits than its factorization.

342200150032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814160 (or 814154 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 342200150032 its reverse (230051002243), we get a palindrome (572251152275).

The spelling of 342200150032 in words is "three hundred forty-two billion, two hundred million, one hundred fifty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 43 47 52 86 94 104 172 188 208 344 376 559 611 688 752 1118 1222 2021 2236 2444 4042 4472 4888 8084 8944 9776 16168 26273 32336 52546 105092 210184 420368 814049 1628098 3256196 6512392 10582637 13024784 21165274 35004107 38260303 42330548 70008214 76520606 84661096 140016428 153041212 169322192 280032856 306082424 455053391 497383939 560065712 612164848 910106782 994767878 1645193029 1820213564 1989535756 3290386058 3640427128 3979071512 6580772116 7280854256 7958143024 13161544232 21387509377 26323088464 42775018754 85550037508 171100075016 342200150032