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20130144244 = 2271719892281
BaseRepresentation
bin10010101111110110…
…011001111111110100
31220221220102021120221
4102233312121333310
5312211304103434
613125254504124
71311562255120
oct225766317764
956856367527
1020130144244
11859aa3a351
123a99665044
131b8a643c72
14d8d6c2580
157cc3c72b4
hex4afd99ff4

20130144244 has 144 divisors (see below), whose sum is σ = 45543496320. Its totient is φ = 7578869760.

The previous prime is 20130144239. The next prime is 20130144299. The reversal of 20130144244 is 44244103102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71637384 + ... + 71637664.

It is an arithmetic number, because the mean of its divisors is an integer number (316274280).

Almost surely, 220130144244 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 20130144244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22771748160).

20130144244 is an abundant number, since it is smaller than the sum of its proper divisors (25413352076).

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

20130144244 is a wasteful number, since it uses less digits than its factorization.

20130144244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 20130144244 its reverse (44244103102), we get a palindrome (64374247346).

The spelling of 20130144244 in words is "twenty billion, one hundred thirty million, one hundred forty-four thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 89 119 133 178 238 266 281 323 356 476 532 562 623 646 1124 1246 1292 1513 1691 1967 2261 2492 3026 3382 3934 4522 4777 5339 6052 6764 7868 7921 9044 9554 10591 10678 11837 15842 19108 21182 21356 23674 25009 28747 31684 33439 37373 42364 47348 50018 55447 57494 66878 74746 90763 100036 110894 114988 133756 134657 149492 150499 175063 181526 201229 221788 269314 300998 350126 363052 402458 425153 475171 538628 601996 635341 700252 804916 850306 942599 950342 1053493 1270682 1700612 1885198 1900684 2106986 2225801 2541364 2558483 2976071 3326197 3770396 4213972 4451602 5116966 5952142 6652394 8077907 8903204 10233932 11904284 13304788 15580607 16155814 17909381 31161214 32311628 35818762 37838617 42290219 56545349 62322428 71637524 75677234 84580438 113090698 151354468 169160876 226181396 264870319 296031533 529740638 592063066 718933723 1059481276 1184126132 1437867446 2875734892 5032536061 10065072122 20130144244