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442023031220031 = 321879160971623793
BaseRepresentation
bin110010010000001001000000…
…1110000100010011100111111
32010222001222201001100011211200
41210200102001300202130333
5430414101131443020111
64204034324403150543
7162051052530443262
oct14440220160423477
92128058631304750
10442023031220031
11118929a07674a98
12416ab036975453
1315c84792a4a111
147b220592aacd9
153618077c53256
hex1920481c2273f

442023031220031 has 24 divisors (see below), whose sum is σ = 638857587245280. Its totient is φ = 294506713368576.

The previous prime is 442023031219963. The next prime is 442023031220039. The reversal of 442023031220031 is 130022130320244.

442023031220031 is a `hidden beast` number, since 4 + 4 + 202 + 303 + 122 + 0 + 0 + 31 = 666.

It is not a de Polignac number, because 442023031220031 - 211 = 442023031217983 is a prime.

It is a super-2 number, since 2×4420230312200312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442023031219977 and 442023031220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442023031220039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271404471 + ... + 273028263.

It is an arithmetic number, because the mean of its divisors is an integer number (26619066135220).

Almost surely, 2442023031220031 is an apocalyptic number.

442023031220031 is a deficient number, since it is larger than the sum of its proper divisors (196834556025249).

442023031220031 is a wasteful number, since it uses less digits than its factorization.

442023031220031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641775 (or 1641772 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 442023031220031 its reverse (130022130320244), we get a palindrome (572045161540275).

The spelling of 442023031220031 in words is "four hundred forty-two trillion, twenty-three billion, thirty-one million, two hundred twenty thousand, thirty-one".

Divisors: 1 3 9 1879 5637 16097 16911 48291 144873 1623793 4871379 14614137 30246263 90738789 272216367 3051107047 9153321141 26138195921 27459963423 78414587763 235243763289 49113670135559 147341010406677 442023031220031