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10331240144 = 2413710494493
BaseRepresentation
bin10011001111100101…
…00011011011010000
3222200000001101011212
421213302203123100
5132124244141034
64425054155252
7514006043441
oct114762433320
928600041155
1010331240144
1144217966a5
122003ab2b28
13c88505864
147001492c8
15406edd2ce
hex267ca36d0

10331240144 has 40 divisors (see below), whose sum is σ = 20186598600. Its totient is φ = 5121886208.

The previous prime is 10331240131. The next prime is 10331240149. The reversal of 10331240144 is 44104213301.

10331240144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7658350144 + 2672890000 = 87512^2 + 51700^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10331240149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2297162 + ... + 2301654.

It is an arithmetic number, because the mean of its divisors is an integer number (504664965).

Almost surely, 210331240144 is an apocalyptic number.

It is an amenable number.

10331240144 is a deficient number, since it is larger than the sum of its proper divisors (9855358456).

10331240144 is a wasteful number, since it uses less digits than its factorization.

10331240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5687 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10331240144 its reverse (44104213301), we get a palindrome (54435453445).

The spelling of 10331240144 in words is "ten billion, three hundred thirty-one million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 137 274 548 1049 1096 2098 2192 4196 4493 8392 8986 16784 17972 35944 71888 143713 287426 574852 615541 1149704 1231082 2299408 2462164 4713157 4924328 9426314 9848656 18852628 37705256 75410512 645702509 1291405018 2582810036 5165620072 10331240144