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10400700444 = 2233779296519
BaseRepresentation
bin10011010111110111…
…00001100000011100
3222211211202022210120
421223323201200130
5132300034403234
64440015034540
7515511331551
oct115373414034
928754668716
1010400700444
114457a19202
12202320ba50
13c99a15824
1470946aa28
1540d15e049
hex26bee181c

10400700444 has 48 divisors (see below), whose sum is σ = 25239782400. Its totient is φ = 3330490176.

The previous prime is 10400700383. The next prime is 10400700449. The reversal of 10400700444 is 44400700401.

10400700444 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 (10400700449) 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 15 ways as a sum of consecutive naturals, for example, 113184 + ... + 183335.

It is an arithmetic number, because the mean of its divisors is an integer number (525828800).

Almost surely, 210400700444 is an apocalyptic number.

It is an amenable number.

10400700444 is an abundant number, since it is smaller than the sum of its proper divisors (14839081956).

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

10400700444 is a wasteful number, since it uses less digits than its factorization.

10400700444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296642 (or 296640 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The spelling of 10400700444 in words is "ten billion, four hundred million, seven hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 37 74 79 111 148 158 222 237 316 444 474 948 2923 5846 8769 11692 17538 35076 296519 593038 889557 1186076 1779114 3558228 10971203 21942406 23425001 32913609 43884812 46850002 65827218 70275003 93700004 131654436 140550006 281100012 866725037 1733450074 2600175111 3466900148 5200350222 10400700444