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442363363244 = 2211219471023487
BaseRepresentation
bin1100110111111101110…
…10010011111110101100
31120021211001201012101022
412123332322103332230
524221430010110434
6535115142033312
743650114355445
oct6337672237654
91507731635338
10442363363244
1116067264a200
1271896718838
133293a21c79a
14175a65b42cc
15b790b1b22e
hex66fee93fac

442363363244 has 72 divisors (see below), whose sum is σ = 914752634880. Its totient is φ = 186438209760.

The previous prime is 442363363199. The next prime is 442363363249.

442363363244 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 442363363195 and 442363363204.

It is not an unprimeable number, because it can be changed into a prime (442363363249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79532 + ... + 943955.

Almost surely, 2442363363244 is an apocalyptic number.

442363363244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442363363244 is an abundant number, since it is smaller than the sum of its proper divisors (472389271636).

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

442363363244 is a wasteful number, since it uses less digits than its factorization.

442363363244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023579 (or 1023566 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 44.

The spelling of 442363363244 in words is "four hundred forty-two billion, three hundred sixty-three million, three hundred sixty-three thousand, two hundred forty-four".

Divisors: 1 2 4 11 19 22 38 44 47 76 94 121 188 209 242 418 484 517 836 893 1034 1786 2068 2299 3572 4598 5687 9196 9823 11374 19646 22748 39292 108053 216106 432212 1023487 2046974 4093948 11258357 19446253 22516714 38892506 45033428 48103889 77785012 96207778 123841927 192415556 213908783 247683854 427817566 495367708 529142779 855635132 913973891 1058285558 1827947782 2116571116 2352996613 3655895564 4705993226 5820570569 9411986452 10053712801 11641141138 20107425602 23282282276 40214851204 110590840811 221181681622 442363363244