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10144310414 = 271742623153
BaseRepresentation
bin10010111001010010…
…11110010010001110
3222011222022100210112
421130221132102032
5131233420413124
64354335440022
7506246134010
oct113451362216
928158270715
1010144310414
114336220617
121b71386012
13c58876754
146c33aa1b0
153e58b690e
hex25ca5e48e

10144310414 has 16 divisors (see below), whose sum is σ = 18413202528. Its totient is φ = 4091822592.

The previous prime is 10144310413. The next prime is 10144310419. The reversal of 10144310414 is 41401344101.

10144310414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10144310414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144310411) 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 7 ways as a sum of consecutive naturals, for example, 21311339 + ... + 21311814.

It is an arithmetic number, because the mean of its divisors is an integer number (1150825158).

Almost surely, 210144310414 is an apocalyptic number.

10144310414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10144310414 is a deficient number, since it is larger than the sum of its proper divisors (8268892114).

10144310414 is a wasteful number, since it uses less digits than its factorization.

10144310414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42623179.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10144310414 its reverse (41401344101), we get a palindrome (51545654515).

The spelling of 10144310414 in words is "ten billion, one hundred forty-four million, three hundred ten thousand, four hundred fourteen".

Divisors: 1 2 7 14 17 34 119 238 42623153 85246306 298362071 596724142 724593601 1449187202 5072155207 10144310414