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10244332014 = 2375916692477
BaseRepresentation
bin10011000101001110…
…00001100111101110
3222102221111222122020
421202213001213232
5131440022111024
64412311331010
7511602246120
oct114247014756
928387458566
1010244332014
1143877272a4
121b9a980a66
13c734c7027
146d27a5210
153ee572979
hex2629c19ee

10244332014 has 64 divisors (see below), whose sum is σ = 23836377600. Its totient is φ = 2874457728.

The previous prime is 10244332003. The next prime is 10244332019. The reversal of 10244332014 is 41023344201.

10244332014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10244332019) by changing a digit.

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, 4134544 + ... + 4137020.

It is an arithmetic number, because the mean of its divisors is an integer number (372443400).

Almost surely, 210244332014 is an apocalyptic number.

10244332014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10244332014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11918188800).

10244332014 is an abundant number, since it is smaller than the sum of its proper divisors (13592045586).

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

10244332014 is a wasteful number, since it uses less digits than its factorization.

10244332014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10244332014 its reverse (41023344201), we get a palindrome (51267676215).

The spelling of 10244332014 in words is "ten billion, two hundred forty-four million, three hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 59 118 177 354 413 826 1239 1669 2477 2478 3338 4954 5007 7431 10014 11683 14862 17339 23366 34678 35049 52017 70098 98471 104034 146143 196942 292286 295413 438429 590826 689297 876858 1023001 1378594 2046002 2067891 3069003 4134113 4135782 6138006 8268226 12402339 24804678 28938791 57877582 86816373 173632746 243912667 487825334 731738001 1463476002 1707388669 3414777338 5122166007 10244332014