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10144315644 = 22373109131811
BaseRepresentation
bin10010111001010010…
…11111100011111100
3222011222022121222020
421130221133203330
5131233421100034
64354335520140
7506246155161
oct113451374374
928158277866
1010144315644
114336224541
121b71389050
13c58878c48
146c33ac068
153e58b8249
hex25ca5f8fc

10144315644 has 96 divisors (see below), whose sum is σ = 24429377280. Its totient is φ = 3275251200.

The previous prime is 10144315639. The next prime is 10144315651. The reversal of 10144315644 is 44651344101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12507999 + ... + 12508809.

It is an arithmetic number, because the mean of its divisors is an integer number (254472680).

Almost surely, 210144315644 is an apocalyptic number.

It is an amenable number.

10144315644 is an abundant number, since it is smaller than the sum of its proper divisors (14285061636).

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

10144315644 is a wasteful number, since it uses less digits than its factorization.

10144315644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 10144315644 its reverse (44651344101), we get a palindrome (54795659745).

The spelling of 10144315644 in words is "ten billion, one hundred forty-four million, three hundred fifteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 73 109 131 146 218 219 262 292 327 393 436 438 524 654 786 811 876 1308 1572 1622 2433 3244 4866 7957 9563 9732 14279 15914 19126 23871 28558 28689 31828 38252 42837 47742 57116 57378 59203 85674 88399 95484 106241 114756 118406 171348 176798 177609 212482 236812 265197 318723 353596 355218 424964 530394 637446 710436 1042367 1060788 1274892 2084734 3127101 4169468 6254202 6453127 7755593 11580269 12508404 12906254 15511186 19359381 23160538 23266779 25812508 31022372 34740807 38718762 46321076 46533558 69481614 77437524 93067116 138963228 845359637 1690719274 2536078911 3381438548 5072157822 10144315644