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2144134112 = 251743711291
BaseRepresentation
bin111111111001100…
…1110001111100000
312112102120022001112
41333303032033200
513342344242422
6552432122452
7104063560601
oct17763161740
95472508045
102144134112
11a0034276a
124ba096428
132822a1313
14164a97da8
15c8383ee2
hex7fcce3e0

2144134112 has 96 divisors (see below), whose sum is σ = 4641525504. Its totient is φ = 970905600.

The previous prime is 2144134093. The next prime is 2144134229. The reversal of 2144134112 is 2114314412.

It is a super-4 number, since 4×21441341124 (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1660187 + ... + 1661477.

It is an arithmetic number, because the mean of its divisors is an integer number (48349224).

Almost surely, 22144134112 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 2144134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320762752).

2144134112 is an abundant number, since it is smaller than the sum of its proper divisors (2497391392).

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

2144134112 is a wasteful number, since it uses less digits than its factorization.

2144134112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1424 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 2144134112 is about 46304.7957775434. The cubic root of 2144134112 is about 1289.4880311200.

Adding to 2144134112 its reverse (2114314412), we get a palindrome (4258448524).

The spelling of 2144134112 in words is "two billion, one hundred forty-four million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 43 68 71 86 136 142 172 272 284 344 544 568 688 731 1136 1207 1291 1376 1462 2272 2414 2582 2924 3053 4828 5164 5848 6106 9656 10328 11696 12212 19312 20656 21947 23392 24424 38624 41312 43894 48848 51901 55513 87788 91661 97696 103802 111026 175576 183322 207604 222052 351152 366644 415208 444104 702304 733288 830416 888208 943721 1466576 1558237 1660832 1776416 1887442 2933152 3116474 3774884 3941423 6232948 7549768 7882846 12465896 15099536 15765692 24931792 30199072 31531384 49863584 63062768 67004191 126125536 134008382 268016764 536033528 1072067056 2144134112