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442463364244 = 221133136918231
BaseRepresentation
bin1100111000001001101…
…11110010010010010100
31120022002000212202222001
412130010313302102110
524222131110123434
6535133113245044
743652440353526
oct6340467622224
91508060782861
10442463364244
11160714041460
1271904103784
1332954b63885
14175b59a5a16
15b7997c1114
hex6704df2494

442463364244 has 48 divisors (see below), whose sum is σ = 847587267072. Its totient is φ = 200433420000.

The previous prime is 442463364193. The next prime is 442463364247.

442463364244 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 442463364194 and 442463364203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442463364247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53751609 + ... + 53759839.

It is an arithmetic number, because the mean of its divisors is an integer number (17658068064).

Almost surely, 2442463364244 is an apocalyptic number.

442463364244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442463364244 is a deficient number, since it is larger than the sum of its proper divisors (405123902828).

442463364244 is a wasteful number, since it uses less digits than its factorization.

442463364244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12268 (or 12266 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 46.

The spelling of 442463364244 in words is "four hundred forty-two billion, four hundred sixty-three million, three hundred sixty-four thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 44 331 662 1324 3641 3691 7282 7382 8231 14564 14764 16462 32924 40601 81202 90541 162404 181082 362164 1221721 2443442 2724461 4886884 5448922 10897844 13438931 26877862 29969071 30380621 53755724 59938142 60761242 119876284 121522484 334186831 668373662 1336747324 10055985551 20111971102 40223942204 110615841061 221231682122 442463364244