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10141414010 = 2571316766733
BaseRepresentation
bin10010111000111100…
…11011001001111010
3222011202212012200022
421130132123021322
5131232200222020
64354153410442
7506212411460
oct113436331172
928152765608
1010141414010
1143346224a2
121b70409a22
13c580a12c0
146c2c54830
153e54e3625
hex25c79b27a

10141414010 has 64 divisors (see below), whose sum is σ = 22602004992. Its totient is φ = 3190323456.

The previous prime is 10141413983. The next prime is 10141414043. The reversal of 10141414010 is 1041414101.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10141414010.

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 31 ways as a sum of consecutive naturals, for example, 118604 + ... + 185336.

It is an arithmetic number, because the mean of its divisors is an integer number (353156328).

Almost surely, 210141414010 is an apocalyptic number.

10141414010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10141414010 is an abundant number, since it is smaller than the sum of its proper divisors (12460590982).

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

10141414010 is a wasteful number, since it uses less digits than its factorization.

10141414010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66927.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10141414010 its reverse (1041414101), we get a palindrome (11182828111).

Subtracting from 10141414010 its reverse (1041414101), we obtain a palindrome (9099999909).

The spelling of 10141414010 in words is "ten billion, one hundred forty-one million, four hundred fourteen thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 167 182 334 455 835 910 1169 1670 2171 2338 4342 5845 10855 11690 15197 21710 30394 66733 75985 133466 151970 333665 467131 667330 867529 934262 1735058 2335655 4337645 4671310 6072703 8675290 11144411 12145406 22288822 30363515 55722055 60727030 78010877 111444110 144877343 156021754 289754686 390054385 724386715 780108770 1014141401 1448773430 2028282802 5070707005 10141414010