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10144433421 = 322950217741
BaseRepresentation
bin10010111001010011…
…11100010100001101
3222011222112121112100
421130221330110031
5131233433332141
64354342225313
7506250155433
oct113451742415
928158477470
1010144433421
1143362a4a81
121b71425239
13c588ba735
146c33dcd53
153e58dd0b6
hex25ca7c50d

10144433421 has 24 divisors (see below), whose sum is σ = 15163326360. Its totient is φ = 6527606400.

The previous prime is 10144433401. The next prime is 10144433471. The reversal of 10144433421 is 12433444101.

10144433421 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 2198672100 + 7945761321 = 46890^2 + 89139^2 .

It is not a de Polignac number, because 10144433421 - 26 = 10144433357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144433401) 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 23 ways as a sum of consecutive naturals, for example, 1306611 + ... + 1314351.

It is an arithmetic number, because the mean of its divisors is an integer number (631805265).

Almost surely, 210144433421 is an apocalyptic number.

It is an amenable number.

10144433421 is a deficient number, since it is larger than the sum of its proper divisors (5018892939).

10144433421 is a wasteful number, since it uses less digits than its factorization.

10144433421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12797 (or 12794 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10144433421 its reverse (12433444101), we get a palindrome (22577877522).

The spelling of 10144433421 in words is "ten billion, one hundred forty-four million, four hundred thirty-three thousand, four hundred twenty-one".

Divisors: 1 3 9 29 87 261 5021 7741 15063 23223 45189 69669 145609 224489 436827 673467 1310481 2020401 38867561 116602683 349808049 1127159269 3381477807 10144433421