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4032144412304 = 241015095638707
BaseRepresentation
bin111010101011001110100…
…010010000111010010000
3112021110200002002000222012
4322223032202100322100
51012030312432143204
612324201440202052
7564212204001641
oct72531642207220
915243602060865
104032144412304
111315028448378
12551559009328
132332ca52b648
14dd22a4b56c8
156ed42ec076e
hex3aace890e90

4032144412304 has 80 divisors (see below), whose sum is σ = 7920079957440. Its totient is φ = 1988422540800.

The previous prime is 4032144412301. The next prime is 4032144412337.

4032144412304 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4032144412301) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 463087919 + ... + 463096625.

It is an arithmetic number, because the mean of its divisors is an integer number (99000999468).

Almost surely, 24032144412304 is an apocalyptic number.

It is an amenable number.

4032144412304 is a deficient number, since it is larger than the sum of its proper divisors (3887935545136).

4032144412304 is a wasteful number, since it uses less digits than its factorization.

4032144412304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9888 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 4032144412304 in words is "four trillion, thirty-two billion, one hundred forty-four million, four hundred twelve thousand, three hundred four".

Divisors: 1 2 4 8 16 101 202 404 509 563 808 1018 1126 1616 2036 2252 4072 4504 8144 8707 9008 17414 34828 51409 56863 69656 102818 113726 139312 205636 227452 286567 411272 454904 573134 822544 879407 909808 1146268 1758814 2292536 3517628 4431863 4585072 4902041 7035256 8863726 9804082 14070512 17727452 19608164 28943267 35454904 39216328 57886534 70909808 78432656 115773068 231546136 447618163 463092272 495106141 895236326 990212282 1790472652 1980424564 2495138869 3580945304 3960849128 4990277738 7161890608 7921698256 9980555476 19961110952 39922221904 252009025769 504018051538 1008036103076 2016072206152 4032144412304