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111004404140 = 225719373911161
BaseRepresentation
bin110011101100001100…
…0001100100110101100
3101121112002100222211102
41213120120030212230
53304314111413030
6122554505342232
711006535603260
oct1473030144654
9347462328742
10111004404140
1143093101883
121961b197978
13a610619896
14553075a0a0
152d4a398c45
hex19d860c9ac

111004404140 has 96 divisors (see below), whose sum is σ = 280532313600. Its totient is φ = 36042693120.

The previous prime is 111004404139. The next prime is 111004404167. The reversal of 111004404140 is 41404400111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9940160 + ... + 9951320.

It is an arithmetic number, because the mean of its divisors is an integer number (2922211600).

Almost surely, 2111004404140 is an apocalyptic number.

111004404140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111004404140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140266156800).

111004404140 is an abundant number, since it is smaller than the sum of its proper divisors (169527909460).

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

111004404140 is a wasteful number, since it uses less digits than its factorization.

111004404140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14935 (or 14933 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 111004404140 its reverse (41404400111), we get a palindrome (152408804251).

The spelling of 111004404140 in words is "one hundred eleven billion, four million, four hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 3739 7478 11161 14956 18695 22322 26173 37390 44644 52346 55805 71041 74780 78127 104692 111610 130865 142082 156254 212059 223220 261730 284164 312508 355205 390635 424118 497287 523460 710410 781270 848236 994574 1060295 1420820 1484413 1562540 1989148 2120590 2486435 2968826 4241180 4972870 5937652 7422065 9945740 14844130 29688260 41730979 83461958 166923916 208654895 292116853 417309790 584233706 792888601 834619580 1168467412 1460584265 1585777202 2921168530 3171554404 3964443005 5550220207 5842337060 7928886010 11100440414 15857772020 22200880828 27751101035 55502202070 111004404140