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442530035244 = 2232115521202409
BaseRepresentation
bin1100111000010001101…
…10000111011000101100
31120022020200100000101100
412130020312013120230
524222300142111434
6535143454243100
743654210143603
oct6341066073054
91508220300340
10442530035244
11160748739360
12719224b6490
133296590807b
14175c079ca3a
15b7a0590699
hex6708d8762c

442530035244 has 72 divisors (see below), whose sum is σ = 1220537157840. Its totient is φ = 134075059200.

The previous prime is 442530035209. The next prime is 442530035273.

442530035244 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442530035199 and 442530035208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2085112 + ... + 2287520.

It is an arithmetic number, because the mean of its divisors is an integer number (16951904970).

Almost surely, 2442530035244 is an apocalyptic number.

442530035244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442530035244 is an abundant number, since it is smaller than the sum of its proper divisors (778007122596).

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

442530035244 is a wasteful number, since it uses less digits than its factorization.

442530035244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207951 (or 207946 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 4425300 and 35244, that added together give a square (4460544 = 21122).

The spelling of 442530035244 in words is "four hundred forty-two billion, five hundred thirty million, thirty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 5521 11042 16563 22084 33126 49689 60731 66252 99378 121462 182193 198756 202409 242924 364386 404818 546579 607227 728772 809636 1093158 1214454 1821681 2186316 2226499 2428908 3643362 4452998 6679497 7286724 8905996 13358994 20038491 26717988 40076982 80153964 1117500089 2235000178 3352500267 4470000356 6705000534 10057500801 12292500979 13410001068 20115001602 24585001958 36877502937 40230003204 49170003916 73755005874 110632508811 147510011748 221265017622 442530035244