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442745968434 = 237113130913697
BaseRepresentation
bin1100111000101011011…
…01110101011100110010
31120022210201122120000220
412130111231311130302
524223220431442214
6535221130353510
743662441431460
oct6342555653462
91508721576026
10442745968434
11160849614140
127198288b896
133299b5806a3
141760132b830
15b7b44e59a9
hex6715b75732

442745968434 has 64 divisors (see below), whose sum is σ = 1139602563072. Its totient is φ = 111289305600.

The previous prime is 442745968433. The next prime is 442745968447. The reversal of 442745968434 is 434869547244.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (442745968433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15442527 + ... + 15471170.

It is an arithmetic number, because the mean of its divisors is an integer number (17806290048).

Almost surely, 2442745968434 is an apocalyptic number.

442745968434 is an abundant number, since it is smaller than the sum of its proper divisors (696856594638).

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

442745968434 is a wasteful number, since it uses less digits than its factorization.

442745968434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30913751.

The product of its digits is 92897280, while the sum is 60.

The spelling of 442745968434 in words is "four hundred forty-two billion, seven hundred forty-five million, nine hundred sixty-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 154 186 217 231 341 434 462 651 682 1023 1302 2046 2387 4774 7161 14322 30913697 61827394 92741091 185482182 216395879 340050667 432791758 649187637 680101334 958324607 1020152001 1298375274 1916649214 2040304002 2380354669 2874973821 4760709338 5749947642 6708272249 7141064007 10541570677 13416544498 14282128014 20124816747 21083141354 31624712031 40249633494 63249424062 73790994739 147581989478 221372984217 442745968434