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14141000100 = 2235248719677
BaseRepresentation
bin11010010101101111…
…01000100110100100
31100111111210020100110
431022313220212210
5212430044000400
610255110413020
71010266342353
oct151267504644
940444706313
1014141000100
115aa7253747
1228a7961170
1314448a94a6
149820db99a
1557b6d5e50
hex34ade89a4

14141000100 has 72 divisors (see below), whose sum is σ = 40927255488. Its totient is φ = 3769769600.

The previous prime is 14141000099. The next prime is 14141000131. The reversal of 14141000100 is 100014141.

14141000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 1456462 + ... + 1466138.

It is an arithmetic number, because the mean of its divisors is an integer number (568434104).

Almost surely, 214141000100 is an apocalyptic number.

14141000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14141000100 is an abundant number, since it is smaller than the sum of its proper divisors (26786255388).

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

14141000100 is a wasteful number, since it uses less digits than its factorization.

14141000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14565 (or 14558 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 14141000100 its reverse (100014141), we get a palindrome (14241014241).

The spelling of 14141000100 in words is "fourteen billion, one hundred forty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 4871 9677 9742 14613 19354 19484 24355 29031 29226 38708 48385 48710 58062 58452 73065 96770 97420 116124 121775 145155 146130 193540 241925 243550 290310 292260 365325 483850 487100 580620 725775 730650 967700 1451550 1461300 2903100 47136667 94273334 141410001 188546668 235683335 282820002 471366670 565640004 707050005 942733340 1178416675 1414100010 2356833350 2828200020 3535250025 4713666700 7070500050 14141000100