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440103111102 = 2352341960299
BaseRepresentation
bin1100110011110000011…
…00001000100110111110
31120001222112122111100000
412121320030020212332
524202312344023402
6534103001015130
743540110502164
oct6317014104676
91501875574300
10440103111102
1115a712807326
12713657844a6
1332669b83495
1417430331234
15b6ac49bc1c
hex66783089be

440103111102 has 96 divisors (see below), whose sum is σ = 1057036780800. Its totient is φ = 136900082880.

The previous prime is 440103111067. The next prime is 440103111109. The reversal of 440103111102 is 201111301044.

440103111102 is a `hidden beast` number, since 440 + 10 + 3 + 111 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440103111109) 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 47 ways as a sum of consecutive naturals, for example, 21852 + ... + 938447.

It is an arithmetic number, because the mean of its divisors is an integer number (11010799800).

Almost surely, 2440103111102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440103111102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528518390400).

440103111102 is an abundant number, since it is smaller than the sum of its proper divisors (616933669698).

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

440103111102 is a wasteful number, since it uses less digits than its factorization.

440103111102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960380 (or 960368 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 440103111102 its reverse (201111301044), we get a palindrome (641214412146).

The spelling of 440103111102 in words is "four hundred forty billion, one hundred three million, one hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 27 41 46 54 69 81 82 123 138 162 207 243 246 369 414 486 621 738 943 1107 1242 1863 1886 2214 2829 3321 3726 5589 5658 6642 8487 9963 11178 16974 19926 25461 50922 76383 152766 229149 458298 960299 1920598 2880897 5761794 8642691 17285382 22086877 25928073 39372259 44173754 51856146 66260631 77784219 78744518 118116777 132521262 155568438 198781893 233352657 236233554 354350331 397563786 466705314 596345679 708700662 905561957 1063050993 1192691358 1789037037 1811123914 2126101986 2716685871 3189152979 3578074074 5367111111 5433371742 6378305958 8150057613 9567458937 10734222222 16300115226 19134917874 24450172839 48900345678 73350518517 146701037034 220051555551 440103111102