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4142443336 = 2323375910313
BaseRepresentation
bin1111011011101000…
…1010101101001000
3101200200201220222021
43312322022231020
531440431141321
61523014534224
7204440121163
oct36672125510
911620656867
104142443336
111836334a99
12977367374
135102a5c05
142b4232ada
15193a10941
hexf6e8ab48

4142443336 has 64 divisors (see below), whose sum is σ = 8465731200. Its totient is φ = 1894768128.

The previous prime is 4142443321. The next prime is 4142443337. The reversal of 4142443336 is 6333442414.

It is not an unprimeable number, because it can be changed into a prime (4142443337) 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, 396516 + ... + 406828.

It is an arithmetic number, because the mean of its divisors is an integer number (132277050).

Almost surely, 24142443336 is an apocalyptic number.

4142443336 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4142443336 is an abundant number, since it is smaller than the sum of its proper divisors (4323287864).

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

4142443336 is a wasteful number, since it uses less digits than its factorization.

4142443336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10438 (or 10434 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

The square root of 4142443336 is about 64361.8158227376. The cubic root of 4142443336 is about 1606.0245960542.

The spelling of 4142443336 in words is "four billion, one hundred forty-two million, four hundred forty-three thousand, three hundred thirty-six".

Divisors: 1 2 4 8 23 37 46 59 74 92 118 148 184 236 296 472 851 1357 1702 2183 2714 3404 4366 5428 6808 8732 10313 10856 17464 20626 41252 50209 82504 100418 200836 237199 381581 401672 474398 608467 763162 948796 1216934 1526324 1897592 2433868 3052648 4867736 8776363 13994741 17552726 22513279 27989482 35105452 45026558 55978964 70210904 90053116 111957928 180106232 517805417 1035610834 2071221668 4142443336