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442562640520 = 2357111311053013
BaseRepresentation
bin1100111000010101100…
…10011111101010001000
31120022022221200112102011
412130022302133222020
524222332013444040
6535151021145304
743655054242660
oct6341262375210
91508287615364
10442562640520
11160765089170
12719313bb234
133296c5b2b30
14175c4c491a0
15b7a33813ea
hex670ac9fa88

442562640520 has 128 divisors (see below), whose sum is σ = 1336972573440. Its totient is φ = 127330698240.

The previous prime is 442562640511. The next prime is 442562640523. The reversal of 442562640520 is 25046265244.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (442562640523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5486467 + ... + 5566546.

It is an arithmetic number, because the mean of its divisors is an integer number (10445098230).

Almost surely, 2442562640520 is an apocalyptic number.

442562640520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442562640520 is an abundant number, since it is smaller than the sum of its proper divisors (894409932920).

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

442562640520 is a wasteful number, since it uses less digits than its factorization.

442562640520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11053055 (or 11053051 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 442562640520 in words is "four hundred forty-two billion, five hundred sixty-two million, six hundred forty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 11053013 22106026 44212052 55265065 77371091 88424104 110530130 121583143 143689169 154742182 221060260 243166286 287378338 309484364 386855455 442120520 486332572 574756676 607915715 618968728 718445845 773710910 851082001 972665144 1005824183 1149513352 1215831430 1436891690 1547421820 1580580859 1702164002 2011648366 2431662860 2873783380 3094843640 3161161718 3404328004 4023296732 4255410005 4863325720 5029120915 5747566760 6322323436 6808656008 7902904295 8046593464 8510820010 10058241830 11064066013 12644646872 15805808590 17021640020 20116483660 22128132026 31611617180 34043280040 40232967320 44256264052 55320330065 63223234360 88512528104 110640660130 221281320260 442562640520