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441111423213 = 33234322374077
BaseRepresentation
bin1100110101101000100…
…10100010100011101101
31120011120210222001112000
412122310102202203231
524211344011020323
6534351020402513
743604103142506
oct6326422424355
91504523861460
10441111423213
1116008a99811a
12715a73a6439
133279aa40b76
14174c8203bad
15b71ac70e43
hex66b44a28ed

441111423213 has 64 divisors (see below), whose sum is σ = 700908257280. Its totient is φ = 273511111104.

The previous prime is 441111423197. The next prime is 441111423317. The reversal of 441111423213 is 312324111144.

It is a happy number.

441111423213 is a `hidden beast` number, since 4 + 4 + 11 + 11 + 423 + 213 = 666.

It is not a de Polignac number, because 441111423213 - 24 = 441111423197 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441111423013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5917731 + ... + 5991807.

It is an arithmetic number, because the mean of its divisors is an integer number (10951691520).

Almost surely, 2441111423213 is an apocalyptic number.

441111423213 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

441111423213 is a deficient number, since it is larger than the sum of its proper divisors (259796834067).

441111423213 is a wasteful number, since it uses less digits than its factorization.

441111423213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74375 (or 74369 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 441111423213 its reverse (312324111144), we get a palindrome (753435534357).

The spelling of 441111423213 in words is "four hundred forty-one billion, one hundred eleven million, four hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 3 9 23 27 43 69 129 207 223 387 621 669 989 1161 2007 2967 5129 6021 8901 9589 15387 26703 28767 46161 74077 86301 138483 220547 222231 258903 661641 666693 1703771 1984923 2000079 3185311 5111313 5954769 9555933 15333939 16519171 28667799 46001817 49557513 73262153 86003397 148672539 219786459 379940933 446017617 659359377 710324353 1139822799 1978078131 2130973059 3419468397 6392919177 10258405191 16337460119 19178757531 49012380357 147037141071 441111423213