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10441244331 = 347217154747
BaseRepresentation
bin10011011100101100…
…01011111010101011
3222221200001011120000
421232112023322223
5132340424304311
64444024034043
7516513053400
oct115626137253
928850034500
1010441244331
1144788a0451
122034902923
13ca523caab
147109c22a7
154119bc056
hex26e58beab

10441244331 has 60 divisors (see below), whose sum is σ = 19211345208. Its totient is φ = 5615422848.

The previous prime is 10441244329. The next prime is 10441244347. The reversal of 10441244331 is 13344214401.

10441244331 is a `hidden beast` number, since 104 + 4 + 124 + 433 + 1 = 666.

It is not a de Polignac number, because 10441244331 - 21 = 10441244329 is a prime.

It is a super-2 number, since 2×104412443312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10441244295 and 10441244304.

It is not an unprimeable number, because it can be changed into a prime (10441244321) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9901 + ... + 144846.

Almost surely, 210441244331 is an apocalyptic number.

10441244331 is a deficient number, since it is larger than the sum of its proper divisors (8770100877).

10441244331 is a wasteful number, since it uses less digits than its factorization.

10441244331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154790 (or 154774 counting only the distinct ones).

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

Adding to 10441244331 its reverse (13344214401), we get a palindrome (23785458732).

The spelling of 10441244331 in words is "ten billion, four hundred forty-one million, two hundred forty-four thousand, three hundred thirty-one".

Divisors: 1 3 7 9 17 21 27 49 51 63 81 119 147 153 189 357 441 459 567 833 1071 1323 1377 2499 3213 3969 7497 9639 22491 67473 154747 464241 1083229 1392723 2630699 3249687 4178169 7582603 7892097 9749061 12534507 18414893 22747809 23676291 29247183 55244679 68243427 71028873 87741549 128904251 165734037 204730281 213086619 386712753 497202111 614190843 1160138259 1491606333 3480414777 10441244331