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442023748322 = 2132294432
BaseRepresentation
bin1100110111010101010…
…10110010001011100010
31120020221101122222021212
412123222222302023202
524220231034421242
6535021330550122
743635521603462
oct6335252621342
91506841588255
10442023748322
11160508978512
1271800a38342
13328b4a61500
141757344bba2
15b770dd4782
hex66eaab22e2

442023748322 has 90 divisors (see below), whose sum is σ = 761298362037. Its totient is φ = 192395260512.

The previous prime is 442023748301. The next prime is 442023748339. The reversal of 442023748322 is 223847320244.

It can be written as a sum of positive squares in 8 ways, for example, as 49670591161 + 392353157161 = 222869^2 + 626381^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=470119.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 442023748322.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10279622033 + ... + 10279622075.

Almost surely, 2442023748322 is an apocalyptic number.

442023748322 is a deficient number, since it is larger than the sum of its proper divisors (319274613715).

442023748322 is an frugal number, since it uses more digits than its factorization.

442023748322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 41.

The spelling of 442023748322 in words is "four hundred forty-two billion, twenty-three million, seven hundred forty-eight thousand, three hundred twenty-two".

Divisors: 1 2 13 26 29 43 58 86 169 338 377 559 754 841 1118 1247 1682 1849 2494 3698 4901 7267 9802 10933 14534 16211 21866 24037 24389 32422 36163 48074 48778 53621 72326 107242 142129 210743 284258 312481 317057 421486 470119 624962 634114 697073 707281 940238 1048727 1394146 1414562 1555009 2097454 3110018 4121741 6111547 8243482 9061949 9194653 12223094 13633451 18123898 18389306 20215117 27266902 30413083 40430234 45095261 60826166 90190522 119530489 177234863 239060978 262796521 354469726 395370079 525593042 586238393 790740158 1172476786 1307762569 2615525138 5139811027 7621099109 10279622054 15242198218 17000913397 34001826794 221011874161 442023748322