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42240332556 = 22321737199433
BaseRepresentation
bin100111010101101110…
…000101001100001100
311001000210122020000100
4213111232011030030
51143002011120211
631223244531100
73023516621412
oct472556051414
9131023566010
1042240332556
1116a06626054
12822a250a90
133ca2265c26
142089d472b2
15117351e156
hex9d5b8530c

42240332556 has 72 divisors (see below), whose sum is σ = 107552128320. Its totient is φ = 13977771264.

The previous prime is 42240332549. The next prime is 42240332557. The reversal of 42240332556 is 65523304224.

42240332556 is a `hidden beast` number, since 42 + 240 + 3 + 325 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42240332556.

It is not an unprimeable number, because it can be changed into a prime (42240332557) 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 23 ways as a sum of consecutive naturals, for example, 4473216 + ... + 4482648.

It is an arithmetic number, because the mean of its divisors is an integer number (1493779560).

Almost surely, 242240332556 is an apocalyptic number.

It is an amenable number.

42240332556 is an abundant number, since it is smaller than the sum of its proper divisors (65311795764).

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

42240332556 is a wasteful number, since it uses less digits than its factorization.

42240332556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335 (or 10330 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 42240332556 in words is "forty-two billion, two hundred forty million, three hundred thirty-two thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 719 1038 1438 1557 2076 2157 2876 3114 4314 6228 6471 8628 9433 12942 18866 25884 28299 37732 56598 84897 113196 124387 169794 248774 339588 373161 497548 746322 1119483 1492644 1631909 2238966 3263818 4477932 4895727 6527636 6782327 9791454 13564654 14687181 19582908 20346981 27129308 29374362 40693962 58748724 61040943 81387924 122081886 244163772 1173342571 2346685142 3520027713 4693370284 7040055426 10560083139 14080110852 21120166278 42240332556