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14442430040 = 2353153219757
BaseRepresentation
bin11010111001101010…
…11111111001011000
31101021111222110111022
431130311133321120
5214034230230130
610345035222012
71020616426013
oct153465377130
941244873438
1014442430040
1161414144a5
1229708a7908
1314921880bc
149b016437a
15597dc87e5
hex35cd5fe58

14442430040 has 64 divisors (see below), whose sum is σ = 34176764160. Its totient is φ = 5485109760.

The previous prime is 14442430033. The next prime is 14442430063. The reversal of 14442430040 is 4003424441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14442429991 and 14442430009.

It is a congruent number.

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, 44159 + ... + 175598.

It is an arithmetic number, because the mean of its divisors is an integer number (534011940).

Almost surely, 214442430040 is an apocalyptic number.

14442430040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14442430040 is an abundant number, since it is smaller than the sum of its proper divisors (19734334120).

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

14442430040 is a wasteful number, since it uses less digits than its factorization.

14442430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219852 (or 219848 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 14442430040 its reverse (4003424441), we get a palindrome (18445854481).

The spelling of 14442430040 in words is "fourteen billion, four hundred forty-two million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 53 62 106 124 155 212 248 265 310 424 530 620 1060 1240 1643 2120 3286 6572 8215 13144 16430 32860 65720 219757 439514 879028 1098785 1758056 2197570 4395140 6812467 8790280 11647121 13624934 23294242 27249868 34062335 46588484 54499736 58235605 68124670 93176968 116471210 136249340 232942420 272498680 361060751 465884840 722121502 1444243004 1805303755 2888486008 3610607510 7221215020 14442430040