Search a number
-
+
21341133104000 = 27531493893383
BaseRepresentation
bin1001101101000110111101…
…01010000110001110000000
32210120012012021000010212012
410312203132222012032000
510244123120033312000
6113215551534552052
74331563113224303
oct466433652061600
983505167003765
1021341133104000
1168887a6303056
12248807a368628
13bba5ca132168
1453acb868cb3a
152701e9eb7735
hex1368dea86380

21341133104000 has 128 divisors (see below), whose sum is σ = 53094990386880. Its totient is φ = 8530726041600.

The previous prime is 21341133103891. The next prime is 21341133104063. The reversal of 21341133104000 is 40133114312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 23441309 + ... + 24334691.

Almost surely, 221341133104000 is an apocalyptic number.

21341133104000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21341133104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26547495193440).

21341133104000 is an abundant number, since it is smaller than the sum of its proper divisors (31753857282880).

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

21341133104000 is an equidigital number, since it uses as much as digits as its factorization.

21341133104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894905 (or 894883 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 21341133104000 its reverse (40133114312), we get a palindrome (21381266218312).

The spelling of 21341133104000 in words is "twenty-one trillion, three hundred forty-one billion, one hundred thirty-three million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1493 1600 2000 2986 3200 4000 5972 7465 8000 11944 14930 16000 23888 29860 37325 47776 59720 74650 95552 119440 149300 186625 191104 238880 298600 373250 477760 597200 746500 893383 955520 1194400 1493000 1786766 2388800 2986000 3573532 4466915 4777600 5972000 7147064 8933830 11944000 14294128 17867660 22334575 23888000 28588256 35735320 44669150 57176512 71470640 89338300 111672875 114353024 142941280 178676600 223345750 285882560 357353200 446691500 571765120 714706400 893383000 1333820819 1429412800 1786766000 2667641638 2858825600 3573532000 5335283276 6669104095 7147064000 10670566552 13338208190 14294128000 21341133104 26676416380 33345520475 42682266208 53352832760 66691040950 85364532416 106705665520 133382081900 166727602375 170729064832 213411331040 266764163800 333455204750 426822662080 533528327600 666910409500 853645324160 1067056655200 1333820819000 2134113310400 2667641638000 4268226620800 5335283276000 10670566552000 21341133104000