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442534504025152 = 26711471910638747
BaseRepresentation
bin110010010011110111001011…
…1111010011100110001000000
32011000212212220110122210000101
41210213232113322130301000
5431000441131012301102
64205105313344332144
7162133030356526240
oct14447562772346100
92130785813583011
10442534504025152
11119006913742810
124177219a014054
1315cc0a94a45376
147b3cada0b7b20
153626510bbae87
hex1927b97e9cc40

442534504025152 has 112 divisors (see below), whose sum is σ = 1118136365549568. Its totient is φ = 168747614046720.

The previous prime is 442534504025143. The next prime is 442534504025227. The reversal of 442534504025152 is 251520405435244.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 955087758 + ... + 955550989.

Almost surely, 2442534504025152 is an apocalyptic number.

It is an amenable number.

442534504025152 is an abundant number, since it is smaller than the sum of its proper divisors (675601861524416).

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

442534504025152 is a wasteful number, since it uses less digits than its factorization.

442534504025152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910638824 (or 1910638814 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 46.

The spelling of 442534504025152 in words is "four hundred forty-two trillion, five hundred thirty-four billion, five hundred four million, twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 47 56 64 77 88 94 112 154 176 188 224 308 329 352 376 448 517 616 658 704 752 1034 1232 1316 1504 2068 2464 2632 3008 3619 4136 4928 5264 7238 8272 10528 14476 16544 21056 28952 33088 57904 115808 231616 1910638747 3821277494 7642554988 13374471229 15285109976 21017026217 26748942458 30570219952 42034052434 53497884916 61140439904 84068104868 89800021109 106995769832 122280879808 147119183519 168136209736 179600042218 213991539664 294238367038 336272419472 359200084436 427983079328 588476734076 628600147763 672544838944 718400168872 855966158656 987800232199 1176953468152 1257200295526 1345089677888 1436800337744 1975600464398 2353906936304 2514400591052 2873600675488 3951200928796 4707813872608 5028801182104 5747201350976 6914601625393 7902401857592 9415627745216 10057602364208 13829203250786 15804803715184 20115204728416 27658406501572 31609607430368 40230409456832 55316813003144 63219214860736 110633626006288 221267252012576 442534504025152