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447814142442 = 2328913919110529
BaseRepresentation
bin1101000010000111100…
…11011000100111101010
31120210212221022110202100
412201003303120213222
524314110410024232
6541420055114230
744232152256132
oct6410363304752
91523787273670
10447814142442
11162a0a4552a7
1272958072976
13332c858b914
1417962497ac2
15b9ae416c7c
hex6843cd89ea

447814142442 has 96 divisors (see below), whose sum is σ = 993492864000. Its totient is φ = 145751316480.

The previous prime is 447814142423. The next prime is 447814142473. The reversal of 447814142442 is 244241418744.

It is a happy number.

447814142442 is a `hidden beast` number, since 4 + 47 + 8 + 141 + 424 + 42 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 42526234 + ... + 42536762.

It is an arithmetic number, because the mean of its divisors is an integer number (10348884000).

Almost surely, 2447814142442 is an apocalyptic number.

447814142442 is an abundant number, since it is smaller than the sum of its proper divisors (545678721558).

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

447814142442 is a wasteful number, since it uses less digits than its factorization.

447814142442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10956 (or 10953 counting only the distinct ones).

The product of its digits is 917504, while the sum is 45.

The spelling of 447814142442 in words is "four hundred forty-seven billion, eight hundred fourteen million, one hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 89 139 178 191 267 278 382 417 534 573 801 834 1146 1251 1602 1719 2502 3438 10529 12371 16999 21058 24742 26549 31587 33998 37113 50997 53098 63174 74226 79647 94761 101994 111339 152991 159294 189522 222678 238941 305982 477882 937081 1463531 1874162 2011039 2362861 2811243 2927062 4022078 4390593 4725722 5622486 6033117 7088583 8433729 8781186 12066234 13171779 14177166 16867458 18099351 21265749 26343558 36198702 42531498 130254259 178982471 260508518 279534421 357964942 390762777 536947413 559068842 781525554 838603263 1073894826 1172288331 1610842239 1677206526 2344576662 2515809789 3221684478 5031619578 24878563469 49757126938 74635690407 149271380814 223907071221 447814142442