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442404242420 = 225715120927353
BaseRepresentation
bin1100111000000010101…
…10010000001111110100
31120021220220122002001212
412130001112100033310
524222020441224140
6535123202140552
743651122004640
oct6340126201764
91507826562055
10442404242420
11160693730348
12718a8351758
133294583354a
14175abbb5c20
15b7944e3765
hex67015903f4

442404242420 has 48 divisors (see below), whose sum is σ = 1068801823488. Its totient is φ = 150676934400.

The previous prime is 442404242419. The next prime is 442404242437. The reversal of 442404242420 is 24242404244.

It is a super-2 number, since 2×4424042424202 (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 10442537 + ... + 10484816.

It is an arithmetic number, because the mean of its divisors is an integer number (22266704656).

Almost surely, 2442404242420 is an apocalyptic number.

It is an amenable number.

442404242420 is an abundant number, since it is smaller than the sum of its proper divisors (626397581068).

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

442404242420 is a wasteful number, since it uses less digits than its factorization.

442404242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20927520 (or 20927518 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 442404242420 its reverse (24242404244), we get a palindrome (466646646664).

The spelling of 442404242420 in words is "four hundred forty-two billion, four hundred four million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 604 755 1057 1510 2114 3020 4228 5285 10570 21140 20927353 41854706 83709412 104636765 146491471 209273530 292982942 418547060 585965884 732457355 1464914710 2929829420 3160030303 6320060606 12640121212 15800151515 22120212121 31600303030 44240424242 63200606060 88480848484 110601060605 221202121210 442404242420