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10441311444 = 22321987145967
BaseRepresentation
bin10011011100101100…
…11100010011010100
3222221200011120121200
421232112130103110
5132340433431234
64444025312500
7516513453144
oct115626342324
928850146550
1010441311444
114478936913
122034935730
13ca52644c5
147109dc924
154119d1d99
hex26e59c4d4

10441311444 has 36 divisors (see below), whose sum is σ = 26406778944. Its totient is φ = 3478661712.

The previous prime is 10441311443. The next prime is 10441311553. The reversal of 10441311444 is 44411314401.

10441311444 is a `hidden beast` number, since 104 + 413 + 1 + 144 + 4 = 666.

10441311444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10441311443) 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 11 ways as a sum of consecutive naturals, for example, 1452 + ... + 144515.

Almost surely, 210441311444 is an apocalyptic number.

It is an amenable number.

10441311444 is an abundant number, since it is smaller than the sum of its proper divisors (15965467500).

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

10441311444 is a wasteful number, since it uses less digits than its factorization.

10441311444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147964 (or 147959 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10441311444 its reverse (44411314401), we get a palindrome (54852625845).

The spelling of 10441311444 in words is "ten billion, four hundred forty-one million, three hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1987 3974 5961 7948 11922 17883 23844 35766 71532 145967 291934 437901 583868 875802 1313703 1751604 2627406 5254812 290036429 580072858 870109287 1160145716 1740218574 2610327861 3480437148 5220655722 10441311444