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100440444440 = 2357636156393
BaseRepresentation
bin101110110001010110…
…1111000111000011000
3100121020212102020102202
41131202231320320120
53121200223210230
6114050335145332
710154002456040
oct1354255707030
9317225366382
10100440444440
1139662015576
1217571375248
139618b41c5b
144c0b752720
15292cc3ba45
hex1762b78e18

100440444440 has 64 divisors (see below), whose sum is σ = 258320612160. Its totient is φ = 34430699520.

The previous prime is 100440444421. The next prime is 100440444473. The reversal of 100440444440 is 44444044001.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1752884 + ... + 1809276.

It is an arithmetic number, because the mean of its divisors is an integer number (4036259565).

Almost surely, 2100440444440 is an apocalyptic number.

100440444440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100440444440 is an abundant number, since it is smaller than the sum of its proper divisors (157880167720).

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

100440444440 is a wasteful number, since it uses less digits than its factorization.

100440444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62772 (or 62768 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 100440444440 its reverse (44444044001), we get a palindrome (144884488441).

The spelling of 100440444440 in words is "one hundred billion, four hundred forty million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 6361 12722 25444 31805 44527 50888 56393 63610 89054 112786 127220 178108 222635 225572 254440 281965 356216 394751 445270 451144 563930 789502 890540 1127860 1579004 1781080 1973755 2255720 3158008 3947510 7895020 15790040 358715873 717431746 1434863492 1793579365 2511011111 2869726984 3587158730 5022022222 7174317460 10044044444 12555055555 14348634920 20088088888 25110111110 50220222220 100440444440