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4332243042 = 2341711313921
BaseRepresentation
bin1000000100011100…
…01100100001100010
3102011220212202020000
410002032030201202
532333023234132
61553515000430
7212233313121
oct40216144142
912156782200
104332243042
111923490356
12a0aa39116
135406cb42a
142d151bab8
151a550287c
hex10238c862

4332243042 has 80 divisors (see below), whose sum is σ = 10370163672. Its totient is φ = 1347010560.

The previous prime is 4332243031. The next prime is 4332243049. The reversal of 4332243042 is 2403422334.

4332243042 is a `hidden beast` number, since 4 + 332 + 24 + 304 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3246606441 + 1085636601 = 56979^2 + 32949^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4332242997 and 4332243015.

It is not an unprimeable number, because it can be changed into a prime (4332243049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 304242 + ... + 318162.

Almost surely, 24332243042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4332243042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185081836).

4332243042 is an abundant number, since it is smaller than the sum of its proper divisors (6037920630).

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

4332243042 is a wasteful number, since it uses less digits than its factorization.

4332243042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14065 (or 14056 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 4332243042 is about 65819.7769823022. The cubic root of 4332243042 is about 1630.1876710660.

Adding to 4332243042 its reverse (2403422334), we get a palindrome (6735665376).

The spelling of 4332243042 in words is "four billion, three hundred thirty-two million, two hundred forty-three thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 113 153 162 226 306 339 459 678 918 1017 1377 1921 2034 2754 3051 3842 5763 6102 9153 11526 13921 17289 18306 27842 34578 41763 51867 83526 103734 125289 155601 236657 250578 311202 375867 473314 709971 751734 1127601 1419942 1573073 2129913 2255202 3146146 4259826 4719219 6389739 9438438 12779478 14157657 19169217 26742241 28315314 38338434 42472971 53484482 80226723 84945942 127418913 160453446 240680169 254837826 481360338 722040507 1444081014 2166121521 4332243042