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2142440344 = 2311109401557
BaseRepresentation
bin111111110110011…
…0000101110011000
312112022101020122101
41333230300232120
513341431042334
6552331533144
7104043304522
oct17754605630
95468336571
102142440344
119aa396160
124b95ba1b4
13281b2a3a5
14164776a12
15c814c214
hex7fb30b98

2142440344 has 64 divisors (see below), whose sum is σ = 4441456800. Its totient is φ = 960768000.

The previous prime is 2142440329. The next prime is 2142440389. The reversal of 2142440344 is 4430442412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3846114 + ... + 3846670.

Almost surely, 22142440344 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 2142440344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220728400).

2142440344 is an abundant number, since it is smaller than the sum of its proper divisors (2299016456).

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

2142440344 is a wasteful number, since it uses less digits than its factorization.

2142440344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 2142440344 is about 46286.5028274982. The cubic root of 2142440344 is about 1289.1483961262.

Adding to 2142440344 its reverse (4430442412), we get a palindrome (6572882756).

The spelling of 2142440344 in words is "two billion, one hundred forty-two million, four hundred forty thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 109 218 401 436 557 802 872 1114 1199 1604 2228 2398 3208 4411 4456 4796 6127 8822 9592 12254 17644 24508 35288 43709 49016 60713 87418 121426 174836 223357 242852 349672 446714 480799 485704 667843 893428 961598 1335686 1786856 1923196 2456927 2671372 3846392 4913854 5342744 9827708 19655416 24345913 48691826 97383652 194767304 267805043 535610086 1071220172 2142440344