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21441341332400 = 2452115998135279
BaseRepresentation
bin1001110000000001100111…
…00010001001101110110000
32210220202211221110120202212
410320000303202021232300
510302243331340114100
6113334003301031252
74342041266140553
oct470006342115660
983822757416685
1021441341332400
116917249231240
1224a35859b5528
13bc6ba9b1a272
14541aa323469a
15272b12634635
hex138033889bb0

21441341332400 has 120 divisors (see below), whose sum is σ = 56289629376000. Its totient is φ = 7783833990400.

The previous prime is 21441341332393. The next prime is 21441341332423. The reversal of 21441341332400 is 423314314412.

It is a super-2 number, since 2×214413413324002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1432040 + ... + 6703239.

It is an arithmetic number, because the mean of its divisors is an integer number (469080244800).

Almost surely, 221441341332400 is an apocalyptic number.

21441341332400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21441341332400 is an abundant number, since it is smaller than the sum of its proper divisors (34848288043600).

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

21441341332400 is a wasteful number, since it uses less digits than its factorization.

21441341332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8135907 (or 8135896 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 21441341332400 its reverse (423314314412), we get a palindrome (21864655646812).

The spelling of 21441341332400 in words is "twenty-one trillion, four hundred forty-one billion, three hundred forty-one million, three hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 599 880 1100 1198 2200 2396 2995 4400 4792 5990 6589 9584 11980 13178 14975 23960 26356 29950 32945 47920 52712 59900 65890 105424 119800 131780 164725 239600 263560 329450 527120 658900 1317800 2635600 8135279 16270558 32541116 40676395 65082232 81352790 89488069 130164464 162705580 178976138 203381975 325411160 357952276 406763950 447440345 650822320 715904552 813527900 894880690 1431809104 1627055800 1789761380 2237201725 3254111600 3579522760 4474403450 4873032121 7159045520 8948806900 9746064242 17897613800 19492128484 24365160605 35795227600 38984256968 48730321210 53603353331 77968513936 97460642420 107206706662 121825803025 194921284840 214413413324 243651606050 268016766655 389842569680 428826826648 487303212100 536033533310 857653653296 974606424200 1072067066620 1340083833275 1949212848400 2144134133240 2680167666550 4288268266480 5360335333100 10720670666200 21441341332400