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20401440410442 = 23713173170901851
BaseRepresentation
bin1001010001110000101001…
…00110111100101101001010
32200020100200110102022022110
410220320110212330231022
510133224122221113232
6111220143051203150
74203645466143150
oct450702446745512
980210613368273
1020401440410442
11655622527a093
122355b291464b6
13b4cb0317c140
145076138513d0
15255a4ce57acc
hex128e149bcb4a

20401440410442 has 128 divisors (see below), whose sum is σ = 54888243314688. Its totient is φ = 4900735872000.

The previous prime is 20401440410413. The next prime is 20401440410479. The reversal of 20401440410442 is 24401404410402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35163184 + ... + 35738667.

It is an arithmetic number, because the mean of its divisors is an integer number (428814400896).

Almost surely, 220401440410442 is an apocalyptic number.

20401440410442 is an abundant number, since it is smaller than the sum of its proper divisors (34486802904246).

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

20401440410442 is a wasteful number, since it uses less digits than its factorization.

20401440410442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70901924.

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 20401440410442 its reverse (24401404410402), we get a palindrome (44802844820844).

The spelling of 20401440410442 in words is "twenty trillion, four hundred one billion, four hundred forty million, four hundred ten thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 13 14 17 21 26 31 34 39 42 51 62 78 91 93 102 119 182 186 217 221 238 273 357 403 434 442 527 546 651 663 714 806 1054 1209 1302 1326 1547 1581 2418 2821 3094 3162 3689 4641 5642 6851 7378 8463 9282 11067 13702 16926 20553 22134 41106 47957 95914 143871 287742 70901851 141803702 212705553 425411106 496312957 921724063 992625914 1205331467 1488938871 1843448126 2197957381 2410662934 2765172189 2977877742 3615994401 4395914762 5530344378 6452068441 6593872143 7231988802 8437320269 12904136882 13187744286 15385701667 15669309071 16874640538 19356205323 25311960807 28573445953 30771403334 31338618142 37365275477 38712410646 46157105001 47007927213 50623921614 57146891906 74730550954 85720337859 92314210002 94015854426 109685163497 112095826431 171440675718 200014121671 219370326994 224191652862 261556928339 329055490491 400028243342 485748581201 523113856678 600042365013 658110980982 784670785017 971497162402 1200084730026 1457245743603 1569341570034 2914491487206 3400240068407 6800480136814 10200720205221 20401440410442