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10434400444 = 2213832417609
BaseRepresentation
bin10011011011111000…
…00101000010111100
3222221012011110111201
421231330011002330
5132332201303234
64443221225244
7516400640356
oct115574050274
928835143451
1010434400444
114474a46546
122032562224
13ca39b4960
1470db200d6
154110b9314
hex26df050bc

10434400444 has 24 divisors (see below), whose sum is σ = 19901765520. Its totient is φ = 4757852544.

The previous prime is 10434400399. The next prime is 10434400447. The reversal of 10434400444 is 44400443401.

10434400444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434400447) 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, 1204489 + ... + 1213120.

It is an arithmetic number, because the mean of its divisors is an integer number (829240230).

Almost surely, 210434400444 is an apocalyptic number.

It is an amenable number.

10434400444 is a deficient number, since it is larger than the sum of its proper divisors (9467365076).

10434400444 is a wasteful number, since it uses less digits than its factorization.

10434400444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417709 (or 2417707 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 10434400444 its reverse (44400443401), we get a palindrome (54834843845).

The spelling of 10434400444 in words is "ten billion, four hundred thirty-four million, four hundred thousand, four hundred forty-four".

Divisors: 1 2 4 13 26 52 83 166 332 1079 2158 4316 2417609 4835218 9670436 31428917 62857834 125715668 200661547 401323094 802646188 2608600111 5217200222 10434400444