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442400340223 = 2383467677733
BaseRepresentation
bin1100111000000010001…
…11010111100011111111
31120021220122021211021001
412130001013113203333
524222013441341343
6535122542351131
743651043563162
oct6340107274377
91507818254231
10442400340223
11160691505596
12718a6b8b4a7
1332944a9835a
14175ab47bad9
15b793ec244d
hex67011d78ff

442400340223 has 32 divisors (see below), whose sum is σ = 469528690176. Its totient is φ = 415987448448.

The previous prime is 442400340211. The next prime is 442400340257. The reversal of 442400340223 is 322043004244.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-442400340223 is a prime.

It is a super-2 number, since 2×4424003402232 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 442400340191 and 442400340200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442400340203) 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, 603547165 + ... + 603547897.

It is an arithmetic number, because the mean of its divisors is an integer number (14672771568).

Almost surely, 2442400340223 is an apocalyptic number.

442400340223 is a deficient number, since it is larger than the sum of its proper divisors (27128349953).

442400340223 is a wasteful number, since it uses less digits than its factorization.

442400340223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983.

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 442400340223 its reverse (322043004244), we get a palindrome (764443344467).

The spelling of 442400340223 in words is "four hundred forty-two billion, four hundred million, three hundred forty thousand, two hundred twenty-three".

Divisors: 1 23 83 467 677 733 1909 10741 15571 16859 38761 56191 60839 316159 342311 496241 891503 1292393 1399297 7271657 7873153 11413543 26241197 28411813 41188003 231744547 603547531 653471699 947324069 5330124581 19234797401 442400340223