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10144123240 = 235416185441
BaseRepresentation
bin10010111001010001…
…10000100101101000
3222011221221212001011
421130220300211220
5131233343420430
64354331433304
7506244424216
oct113450604550
928157855034
1010144123240
114336102a29
121b712b5834
13c5880c4b4
146c335bcb6
153e587b22a
hex25ca30968

10144123240 has 32 divisors (see below), whose sum is σ = 23380970760. Its totient is φ = 3958681600.

The previous prime is 10144123207. The next prime is 10144123243. The reversal of 10144123240 is 4232144101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8354325604 + 1789797636 = 91402^2 + 42306^2 .

It is not an unprimeable number, because it can be changed into a prime (10144123243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3091081 + ... + 3094360.

Almost surely, 210144123240 is an apocalyptic number.

10144123240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144123240 is an abundant number, since it is smaller than the sum of its proper divisors (13236847520).

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

10144123240 is a wasteful number, since it uses less digits than its factorization.

10144123240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6185493 (or 6185489 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10144123240 its reverse (4232144101), we get a palindrome (14376267341).

The spelling of 10144123240 in words is "ten billion, one hundred forty-four million, one hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 6185441 12370882 24741764 30927205 49483528 61854410 123708820 247417640 253603081 507206162 1014412324 1268015405 2028824648 2536030810 5072061620 10144123240