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442421124244 = 22112911316091907
BaseRepresentation
bin1100111000000100101…
…10101001110010010100
31120021222002101202120121
412130002112221302110
524222034301433434
6535125004041324
743651415336041
oct6340226516224
91507862352517
10442421124244
111606a2210970
12718b1b33244
13329491945a8
14175b012c1c8
15b795c2a7b4
hex67025a9c94

442421124244 has 96 divisors (see below), whose sum is σ = 882489686400. Its totient is φ = 192227266560.

The previous prime is 442421124203. The next prime is 442421124259.

442421124244 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 231997539 + ... + 231999445.

It is an arithmetic number, because the mean of its divisors is an integer number (9192600900).

Almost surely, 2442421124244 is an apocalyptic number.

442421124244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442421124244 is a deficient number, since it is larger than the sum of its proper divisors (440068562156).

442421124244 is a wasteful number, since it uses less digits than its factorization.

442421124244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3671 counting only the distinct ones).

The product of its digits is 65536, while the sum is 34.

It can be divided in two parts, 442421 and 124244, that added together give a palindrome (566665).

The spelling of 442421124244 in words is "four hundred forty-two billion, four hundred twenty-one million, one hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 29 44 58 113 116 226 319 452 638 1243 1276 1609 1907 2486 3218 3277 3814 4972 6436 6554 7628 13108 17699 20977 35398 36047 41954 46661 55303 70796 72094 83908 93322 110606 144188 181817 186644 215491 221212 363634 430982 513271 608333 727268 861964 1026542 1216666 1999987 2053084 2370401 2433332 3068363 3999974 4740802 5272693 6136726 6249239 7999948 9481604 10545386 12273452 12498478 21090772 24996956 33751993 57999623 67503986 68741629 88982527 115999246 135007972 137483258 177965054 231998492 274966516 346725019 355930108 693450038 978807797 1386900076 1957615594 3813975209 3915231188 7627950418 10055025551 15255900836 20110051102 40220102204 110605281061 221210562122 442421124244