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42331432110 = 235111515691493
BaseRepresentation
bin100111011011001001…
…100110010010101110
311001021011001120002220
4213123021212102232
51143143321311420
631240301300210
73026004143652
oct473311462256
9131234046086
1042331432110
1116a52a98540
128254864666
133cb80b14a6
14209809ca62
15117b516840
hex9db2664ae

42331432110 has 128 divisors (see below), whose sum is σ = 111836298240. Its totient is φ = 10169472000.

The previous prime is 42331432069. The next prime is 42331432133. The reversal of 42331432110 is 1123413324.

It is a happy number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 28352524 + ... + 28354016.

It is an arithmetic number, because the mean of its divisors is an integer number (873721080).

Almost surely, 242331432110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42331432110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55918149120).

42331432110 is an abundant number, since it is smaller than the sum of its proper divisors (69504866130).

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

42331432110 is a wasteful number, since it uses less digits than its factorization.

42331432110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 42331432110 its reverse (1123413324), we get a palindrome (43454845434).

The spelling of 42331432110 in words is "forty-two billion, three hundred thirty-one million, four hundred thirty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 151 165 302 330 453 569 755 906 1138 1493 1510 1661 1707 2265 2845 2986 3322 3414 4479 4530 4983 5690 6259 7465 8305 8535 8958 9966 12518 14930 16423 16610 17070 18777 22395 24915 31295 32846 37554 44790 49269 49830 62590 82115 85919 93885 98538 164230 171838 187770 225443 246345 257757 429595 450886 492690 515514 676329 849517 859190 945109 1127215 1288785 1352658 1699034 1890218 2254430 2479873 2548551 2577570 2835327 3381645 4247585 4725545 4959746 5097102 5670654 6763290 7439619 8495170 9344687 9451090 12399365 12742755 14176635 14879238 18689374 24798730 25485510 28034061 28353270 37198095 46723435 56068122 74396190 93446870 128277067 140170305 256554134 280340610 384831201 641385335 769662402 1282770670 1411047737 1924156005 2822095474 3848312010 4233143211 7055238685 8466286422 14110477370 21165716055 42331432110