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442283025413142 = 232433821149548573
BaseRepresentation
bin110010010010000010000101…
…0100111101011010000010110
32010222222211210111021122112100
41210210010022213223100112
5430432331114001210032
64204354003353102530
7162105615450561264
oct14444041247532026
92128884714248470
10442283025413142
11118a1a1a5607471
12417314b63b7a46
1315ca3158542334
147b3088116d434
15361ebe317e97c
hex192410a9eb416

442283025413142 has 48 divisors (see below), whose sum is σ = 980822099104848. Its totient is φ = 143961437350080.

The previous prime is 442283025413137. The next prime is 442283025413149. The reversal of 442283025413142 is 241314520382244.

442283025413142 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 8 + 30 + 2 + 541 + 31 + 42 = 666.

It is a super-2 number, since 2×4422830254131422 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442283025413149) 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, 71816833 + ... + 77731740.

It is an arithmetic number, because the mean of its divisors is an integer number (20433793731351).

Almost surely, 2442283025413142 is an apocalyptic number.

442283025413142 is an abundant number, since it is smaller than the sum of its proper divisors (538539073691706).

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

442283025413142 is a wasteful number, since it uses less digits than its factorization.

442283025413142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149552445 (or 149552442 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

Adding to 442283025413142 its reverse (241314520382244), we get a palindrome (683597545795386).

The spelling of 442283025413142 in words is "four hundred forty-two trillion, two hundred eighty-three billion, twenty-five million, four hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 774 3821 7642 11463 22926 34389 68778 164303 328606 492909 985818 1478727 2957454 149548573 299097146 448645719 897291438 1345937157 2691874314 6430588639 12861177278 19291765917 38583531834 57875297751 115750595502 571425097433 1142850194866 1714275292299 3428550584598 5142825876897 10285651753794 24571279189619 49142558379238 73713837568857 147427675137714 221141512706571 442283025413142