Search a number
-
+
2134114422244 = 2272157136150957
BaseRepresentation
bin11111000011100011001…
…000011100110111100100
321120000112002210101211221
4133003203020130313210
5234431131243002434
64312222034310124
7310120226166400
oct37034310346744
97500462711757
102134114422244
11753088a56282
122a5732728344
1312632798077c
1475412576100
153a7a71692b4
hex1f0e321cde4

2134114422244 has 72 divisors (see below), whose sum is σ = 4375417149432. Its totient is φ = 908109296640.

The previous prime is 2134114422199. The next prime is 2134114422311. The reversal of 2134114422244 is 4422244114312.

It can be written as a sum of positive squares in 4 ways, for example, as 178345736100 + 1955768686144 = 422310^2 + 1398488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41855214 + ... + 41906170.

It is an arithmetic number, because the mean of its divisors is an integer number (60769682631).

Almost surely, 22134114422244 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 2134114422244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187708574716).

2134114422244 is an abundant number, since it is smaller than the sum of its proper divisors (2241302727188).

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

2134114422244 is a wasteful number, since it uses less digits than its factorization.

2134114422244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52493 (or 52484 counting only the distinct ones).

The product of its digits is 49152, while the sum is 34.

Adding to 2134114422244 its reverse (4422244114312), we get a palindrome (6556358536556).

The spelling of 2134114422244 in words is "two trillion, one hundred thirty-four billion, one hundred fourteen million, four hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 157 196 314 628 1099 1361 2198 2722 4396 5444 7693 9527 15386 19054 30772 38108 50957 66689 101914 133378 203828 213677 266756 356699 427354 713398 854708 1426796 1495739 2496893 2991478 4993786 5982956 8000249 9987572 10470173 16000498 20940346 32000996 41880692 56001743 69352477 112003486 138704954 224006972 277409908 392012201 485467339 784024402 970934678 1568048804 1941869356 3398271373 6796542746 10888338889 13593085492 21776677778 43553355556 76218372223 152436744446 304873488892 533528605561 1067057211122 2134114422244