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10144141112 = 2372373312113
BaseRepresentation
bin10010111001010001…
…10100111100111000
3222011221222202120002
421130220310330320
5131233400003422
64354332052132
7506244530300
oct113450647470
928157882502
1010144141112
1143361153a6
121b71304048
13c58817681
146c3364600
153e5881692
hex25ca34f38

10144141112 has 96 divisors (see below), whose sum is σ = 22803041520. Its totient is φ = 4215214080.

The previous prime is 10144141103. The next prime is 10144141153. The reversal of 10144141112 is 21114144101.

10144141112 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 an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4799768 + ... + 4801880.

Almost surely, 210144141112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144141112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11401520760).

10144141112 is an abundant number, since it is smaller than the sum of its proper divisors (12658900408).

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

10144141112 is a wasteful number, since it uses less digits than its factorization.

10144141112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10144141112 its reverse (21114144101), we get a palindrome (31258285213).

The spelling of 10144141112 in words is "ten billion, one hundred forty-four million, one hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 331 392 518 662 1036 1324 1813 2072 2113 2317 2648 3626 4226 4634 7252 8452 9268 12247 14504 14791 16219 16904 18536 24494 29582 32438 48988 59164 64876 78181 85729 97976 103537 118328 129752 156362 171458 207074 312724 342916 414148 547267 600103 625448 685832 699403 828296 1094534 1200206 1398806 2189068 2400412 2797612 3830869 4378136 4800824 4895821 5595224 7661738 9791642 15323476 19583284 25877911 30646952 34270747 39166568 51755822 68541494 103511644 137082988 181145377 207023288 274165976 362290754 724581508 1268017639 1449163016 2536035278 5072070556 10144141112