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2442276722442 = 232340181154419
BaseRepresentation
bin100011100010100011000…
…010010101011100001010
322122110221110112020111210
4203202203002111130022
5310003240320104232
65105544430033550
7341306615421444
oct43424302253412
98573843466453
102442276722442
118618445a3517
123353b56488b6
131493c8839bbb
14862c774d494
15437e11d25cc
hex238a309570a

2442276722442 has 64 divisors (see below), whose sum is σ = 5116030295040. Its totient is φ = 775783008000.

The previous prime is 2442276722437. The next prime is 2442276722447.

2442276722442 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2442276722437) and next prime (2442276722447).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 2442276722391 and 2442276722400.

It is not an unprimeable number, because it can be changed into a prime (2442276722447) 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 31 ways as a sum of consecutive naturals, for example, 44851909 + ... + 44906327.

It is an arithmetic number, because the mean of its divisors is an integer number (79937973360).

Almost surely, 22442276722442 is an apocalyptic number.

2442276722442 is an abundant number, since it is smaller than the sum of its proper divisors (2673753572598).

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

2442276722442 is a wasteful number, since it uses less digits than its factorization.

2442276722442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55659.

The product of its digits is 4816896, while the sum is 48.

The spelling of 2442276722442 in words is "two trillion, four hundred forty-two billion, two hundred seventy-six million, seven hundred twenty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 23 46 69 138 401 802 811 1203 1622 2406 2433 4866 9223 18446 18653 27669 37306 54419 55338 55959 108838 111918 163257 325211 326514 650422 975633 1251637 1951266 2503274 3754911 7479853 7509822 14959706 21822019 22439559 43644038 44133809 44879118 65466057 88267618 130932114 132401427 264802854 501906437 1003812874 1015077607 1505719311 2030155214 3011438622 3045232821 6090465642 17697657409 35395314818 53092972227 106185944454 407046120407 814092240814 1221138361221 2442276722442