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14440020100 = 22521131423461
BaseRepresentation
bin11010111001011000…
…10011100010000100
31101021100110000200021
431130230103202010
5214033121120400
610344511424524
71020560100652
oct153454234204
941240400607
1014440020100
116140018910
12296bb25144
1314918231bc
149adad7dd2
15597a9e71a
hex35cb13884

14440020100 has 72 divisors (see below), whose sum is σ = 35286241536. Its totient is φ = 5081520000.

The previous prime is 14440020073. The next prime is 14440020107. The reversal of 14440020100 is 102004441.

It is not an unprimeable number, because it can be changed into a prime (14440020107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177631 + ... + 245830.

It is an arithmetic number, because the mean of its divisors is an integer number (490086688).

Almost surely, 214440020100 is an apocalyptic number.

14440020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14440020100 is an abundant number, since it is smaller than the sum of its proper divisors (20846221436).

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

14440020100 is a wasteful number, since it uses less digits than its factorization.

14440020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423517 (or 423510 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 14440020100 its reverse (102004441), we get a palindrome (14542024541).

The spelling of 14440020100 in words is "fourteen billion, four hundred forty million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 3100 3410 6820 8525 17050 34100 423461 846922 1693844 2117305 4234610 4658071 8469220 9316142 10586525 13127291 18632284 21173050 23290355 26254582 42346100 46580710 52509164 65636455 93161420 116451775 131272910 144400201 232903550 262545820 288800402 328182275 465807100 577600804 656364550 722001005 1312729100 1444002010 2888004020 3610005025 7220010050 14440020100