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442042034340 = 223518743393073
BaseRepresentation
bin1100110111010111100…
…00100010100010100100
31120020222200001222222210
412123223300202202210
524220300230044330
6535023222523420
743636133203464
oct6335360424244
91506880058883
10442042034340
11160518228025
1271806b96570
13328b879473a
1417575a4bba4
15b7727e78b0
hex66ebc228a4

442042034340 has 48 divisors (see below), whose sum is σ = 1237786881408. Its totient is φ = 117871286784.

The previous prime is 442042034279. The next prime is 442042034377. The reversal of 442042034340 is 43430240244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 442042034298 and 442042034307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 928044 + ... + 1321116.

It is an arithmetic number, because the mean of its divisors is an integer number (25787226696).

Almost surely, 2442042034340 is an apocalyptic number.

It is an amenable number.

442042034340 is an abundant number, since it is smaller than the sum of its proper divisors (795744847068).

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

442042034340 is a wasteful number, since it uses less digits than its factorization.

442042034340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411828 (or 411826 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 442042034340 its reverse (43430240244), we get a palindrome (485472274584).

The spelling of 442042034340 in words is "four hundred forty-two billion, forty-two million, thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 18743 37486 56229 74972 93715 112458 187430 224916 281145 374860 393073 562290 786146 1124580 1179219 1572292 1965365 2358438 3930730 4716876 5896095 7861460 11792190 23584380 7367367239 14734734478 22102101717 29469468956 36836836195 44204203434 73673672390 88408406868 110510508585 147347344780 221021017170 442042034340