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10344143440 = 245262149333
BaseRepresentation
bin10011010001000111…
…10001101001010000
3222200220022221011201
421220203301221100
5132141100042230
64430234520544
7514223524411
oct115043615120
928626287151
1010344143440
114428aaa084
122008296154
13c8b0a2a47
14701b47808
154081db5ca
hex2688f1a50

10344143440 has 40 divisors (see below), whose sum is σ = 24059797128. Its totient is φ = 4135994880.

The previous prime is 10344143423. The next prime is 10344143443. The reversal of 10344143440 is 4434144301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5931464256 + 4412679184 = 77016^2 + 66428^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 10344143399 and 10344143408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344143443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185014 + ... + 234346.

Almost surely, 210344143440 is an apocalyptic number.

10344143440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344143440 is an abundant number, since it is smaller than the sum of its proper divisors (13715653688).

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

10344143440 is a wasteful number, since it uses less digits than its factorization.

10344143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51967 (or 51961 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10344143440 its reverse (4434144301), we get a palindrome (14778287741).

The spelling of 10344143440 in words is "ten billion, three hundred forty-four million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2621 5242 10484 13105 20968 26210 41936 49333 52420 98666 104840 197332 209680 246665 394664 493330 789328 986660 1973320 3946640 129301793 258603586 517207172 646508965 1034414344 1293017930 2068828688 2586035860 5172071720 10344143440