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442421413041342 = 23729535059705113
BaseRepresentation
bin110010010011000010100001…
…1001010100101010010111110
32011000111001222222000112222110
41210212011003022211102332
5430442113023214310332
64204541331420154450
7162121615023162210
oct14446050312452276
92130431888015873
10442421413041342
11118a7295a839829
1241754298098a26
1315cb3211059277
147b3744c5a65b0
1536235e255b4cc
hex19261432a54be

442421413041342 has 64 divisors (see below), whose sum is σ = 1011792785794560. Its totient is φ = 126338154914304.

The previous prime is 442421413041317. The next prime is 442421413041343. The reversal of 442421413041342 is 243140314124244.

It is a happy number.

It is a super-2 number, since 2×4424214130413422 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442421413041342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442421413041343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627094978 + ... + 627800090.

It is an arithmetic number, because the mean of its divisors is an integer number (15809262278040).

Almost surely, 2442421413041342 is an apocalyptic number.

442421413041342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

442421413041342 is an abundant number, since it is smaller than the sum of its proper divisors (569371372753218).

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

442421413041342 is a wasteful number, since it uses less digits than its factorization.

442421413041342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713137.

The product of its (nonzero) digits is 294912, while the sum is 39.

Adding to 442421413041342 its reverse (243140314124244), we get a palindrome (685561727165586).

The spelling of 442421413041342 in words is "four hundred forty-two trillion, four hundred twenty-one billion, four hundred thirteen million, forty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 2953 5059 5906 8859 10118 15177 17718 20671 30354 35413 41342 62013 70826 106239 124026 212478 705113 1410226 2115339 4230678 4935791 9871582 14807373 14939227 29614746 29878454 44817681 89635362 104574589 209149178 313723767 627447534 2082198689 3567166667 4164397378 6246596067 7134333334 10701500001 12493192134 14575390823 21403000002 24970166669 29150781646 43726172469 49940333338 74910500007 87452344938 149821000014 10533843167651 21067686335302 31601529502953 63203059005906 73736902173557 147473804347114 221210706520671 442421413041342