Search a number
-
+
2314244421444 = 2234322985722853
BaseRepresentation
bin100001101011010011101…
…101110111011101000100
322012020110200011110110210
4201223103231313131010
5300404033032441234
64531052121315420
7326125064005044
oct41532355673504
98166420143423
102314244421444
1181251370980a
12314623935b70
1313a303510307
148001d731724
15402eaea0be9
hex21ad3b77744

2314244421444 has 96 divisors (see below), whose sum is σ = 5556330299520. Its totient is φ = 749276494848.

The previous prime is 2314244421427. The next prime is 2314244421451. The reversal of 2314244421444 is 4441244424132.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 101255122 + ... + 101277974.

It is an arithmetic number, because the mean of its divisors is an integer number (57878440620).

Almost surely, 22314244421444 is an apocalyptic number.

It is an amenable number.

2314244421444 is an abundant number, since it is smaller than the sum of its proper divisors (3242085878076).

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

2314244421444 is a wasteful number, since it uses less digits than its factorization.

2314244421444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23989 (or 23987 counting only the distinct ones).

The product of its digits is 393216, while the sum is 39.

Adding to 2314244421444 its reverse (4441244424132), we get a palindrome (6755488845576).

The spelling of 2314244421444 in words is "two trillion, three hundred fourteen billion, two hundred forty-four million, four hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 43 86 129 172 229 258 458 516 687 857 916 1374 1714 2571 2748 3428 5142 9847 10284 19694 22853 29541 36851 39388 45706 59082 68559 73702 91412 110553 118164 137118 147404 196253 221106 274236 392506 442212 588759 785012 982679 1177518 1965358 2355036 2948037 3930716 5233337 5896074 8438879 10466674 11792148 15700011 16877758 19585021 20933348 25316637 31400022 33755516 39170042 50633274 58755063 62800044 78340084 101266548 117510126 225033491 235020252 450066982 675100473 842155903 900133964 1350200946 1684311806 2526467709 2700401892 3368623612 4484969809 5052935418 8969939618 10105870836 13454909427 17939879236 26909818854 53819637708 192853701787 385707403574 578561105361 771414807148 1157122210722 2314244421444