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10134424144 = 241373667441
BaseRepresentation
bin10010111000000111…
…10000101001010000
3222011021201002101101
421130003300221100
5131223403033034
64353343514144
7506066120035
oct113403605120
928137632341
1010134424144
114330688949
121b69bb8954
13c567c48a0
146c1d5538c
153e4ab2514
hex25c0f0a50

10134424144 has 40 divisors (see below), whose sum is σ = 21435567272. Its totient is φ = 4613345280.

The previous prime is 10134424141. The next prime is 10134424177. The reversal of 10134424144 is 44142443101.

It can be written as a sum of positive squares in 4 ways, for example, as 1882518544 + 8251905600 = 43388^2 + 90840^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10134424141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318537 + ... + 348904.

Almost surely, 210134424144 is an apocalyptic number.

It is an amenable number.

10134424144 is an abundant number, since it is smaller than the sum of its proper divisors (11301143128).

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

10134424144 is a wasteful number, since it uses less digits than its factorization.

10134424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667535 (or 667529 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 10134424144 its reverse (44142443101), we get a palindrome (54276867245).

The spelling of 10134424144 in words is "ten billion, one hundred thirty-four million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 73 104 146 208 292 584 949 1168 1898 3796 7592 15184 667441 1334882 2669764 5339528 8676733 10679056 17353466 34706932 48723193 69413864 97446386 138827728 194892772 389785544 633401509 779571088 1266803018 2533606036 5067212072 10134424144