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42231527712 = 2533114443553
BaseRepresentation
bin100111010101001100…
…011111100100100000
311001000012001220001000
4213111030133210200
51142442232341322
631222332112000
73023352030333
oct472514374440
9131005056030
1042231527712
1116a01661920
128227305600
133ca04a236a
142088ad461a
1511728803ac
hex9d531f920

42231527712 has 96 divisors (see below), whose sum is σ = 134373072960. Its totient is φ = 12797429760.

The previous prime is 42231527711. The next prime is 42231527719. The reversal of 42231527712 is 21772513224.

42231527712 is a `hidden beast` number, since 42 + 23 + 1 + 527 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42231527711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2212273 + ... + 2231280.

It is an arithmetic number, because the mean of its divisors is an integer number (1399719510).

Almost surely, 242231527712 is an apocalyptic number.

It is an amenable number.

42231527712 is an abundant number, since it is smaller than the sum of its proper divisors (92141545248).

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

42231527712 is a wasteful number, since it uses less digits than its factorization.

42231527712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443583 (or 4443569 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The spelling of 42231527712 in words is "forty-two billion, two hundred thirty-one million, five hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 4443553 8887106 13330659 17774212 26661318 35548424 39991977 48879083 53322636 71096848 79983954 97758166 106645272 119975931 142193696 146637249 159967908 195516332 213290544 239951862 293274498 319935816 391032664 426581088 439911747 479903724 586548996 639871632 782065328 879823494 959807448 1173097992 1279743264 1319735241 1564130656 1759646988 1919614896 2346195984 2639470482 3519293976 3839229792 4692391968 5278940964 7038587952 10557881928 14077175904 21115763856 42231527712