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21144334442310 = 23251912365107861
BaseRepresentation
bin1001100111011000011001…
…00010110001111101000110
32202212101020000121021221100
410303230030202301331012
510232412044104123220
6112545323444400530
74311425214213162
oct463541442617506
982771200537840
1021144334442310
1168122976197a2
122455ab69a6146
13ba4b9612ca11
14531569823ca2
1526a02cb07d90
hex133b0c8b1f46

21144334442310 has 48 divisors (see below), whose sum is σ = 57868704794160. Its totient is φ = 5341726595520.

The previous prime is 21144334442279. The next prime is 21144334442311. The reversal of 21144334442310 is 1324443344112.

21144334442310 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 4 + 334 + 4 + 4 + 2 + 310 = 666.

It is a super-2 number, since 2×211443344423102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21144334442311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6182552221 + ... + 6182555640.

It is an arithmetic number, because the mean of its divisors is an integer number (1205598016545).

Almost surely, 221144334442310 is an apocalyptic number.

21144334442310 is an abundant number, since it is smaller than the sum of its proper divisors (36724370351850).

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

21144334442310 is a wasteful number, since it uses less digits than its factorization.

21144334442310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12365107893 (or 12365107890 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 21144334442310 its reverse (1324443344112), we get a palindrome (22468777786422).

The spelling of 21144334442310 in words is "twenty-one trillion, one hundred forty-four billion, three hundred thirty-four million, four hundred forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 12365107861 24730215722 37095323583 61825539305 74190647166 111285970749 123651078610 185476617915 222571941498 234937049359 370953235830 469874098718 556429853745 704811148077 1112859707490 1174685246795 1409622296154 2114433444231 2349370493590 3524055740385 4228866888462 7048111480770 10572167221155 21144334442310