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21013440033042 = 23217459891493213
BaseRepresentation
bin1001100011100100100101…
…01000001111000100010010
32202101212100202200100110100
410301302102220033010102
510223241011122024132
6112405235135113230
74266112430123502
oct461622250170422
982355322610410
1021013440033042
116771828096756
122434666672816
13b95735b6b442
145290ad655a02
1526691b4be37c
hex131c92a0f112

21013440033042 has 48 divisors (see below), whose sum is σ = 48208384125720. Its totient is φ = 6592304011776.

The previous prime is 21013440033037. The next prime is 21013440033163. The reversal of 21013440033042 is 24033004431012.

21013440033042 is a `hidden beast` number, since 2 + 10 + 1 + 344 + 0 + 0 + 3 + 304 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9988324105761 + 11025115927281 = 3160431^2 + 3320409^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21013440032997 and 21013440033015.

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, 13326028 + ... + 14819240.

Almost surely, 221013440033042 is an apocalyptic number.

21013440033042 is an abundant number, since it is smaller than the sum of its proper divisors (27194944092678).

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

21013440033042 is a wasteful number, since it uses less digits than its factorization.

21013440033042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539227 (or 1539224 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 21013440033042 its reverse (24033004431012), we get a palindrome (45046444464054).

The spelling of 21013440033042 in words is "twenty-one trillion, thirteen billion, four hundred forty million, thirty-three thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 45989 91978 137967 275934 413901 781813 827802 1493213 1563626 2345439 2986426 4479639 4690878 7036317 8959278 13438917 14072634 25384621 26877834 50769242 76153863 152307726 228461589 456923178 68671372657 137342745314 206014117971 412028235942 618042353913 1167413335169 1236084707826 2334826670338 3502240005507 7004480011014 10506720016521 21013440033042