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10144440417 = 3431133891789
BaseRepresentation
bin10010111001010011…
…11110000001100001
3222011222112222010110
421130221332001201
5131233434043132
64354342321533
7506250215016
oct113451760141
928158488113
1010144440417
1143362aa261
121b714292a9
13c588c0987
146c340170d
153e58e01cc
hex25ca7e061

10144440417 has 32 divisors (see below), whose sum is σ = 14006678400. Its totient is φ = 6526743552.

The previous prime is 10144440407. The next prime is 10144440419. The reversal of 10144440417 is 71404444101.

It is not a de Polignac number, because 10144440417 - 28 = 10144440161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10144440419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5669559 + ... + 5671347.

It is an arithmetic number, because the mean of its divisors is an integer number (437708700).

Almost surely, 210144440417 is an apocalyptic number.

It is an amenable number.

10144440417 is a deficient number, since it is larger than the sum of its proper divisors (3862237983).

10144440417 is a wasteful number, since it uses less digits than its factorization.

10144440417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337.

The product of its (nonzero) digits is 7168, while the sum is 30.

Adding to 10144440417 its reverse (71404444101), we get a palindrome (81548884518).

The spelling of 10144440417 in words is "ten billion, one hundred forty-four million, four hundred forty thousand, four hundred seventeen".

Divisors: 1 3 43 113 129 339 389 1167 1789 4859 5367 14577 16727 43957 50181 76927 131871 202157 230781 606471 695921 1890151 2087763 5670453 8692751 26078253 29924603 78639073 89773809 235917219 3381480139 10144440417