Search a number
-
+
2314434055050 = 23252133191123983
BaseRepresentation
bin100001101011011111000…
…001010000101110001010
322012020221212222211212200
4201223133001100232022
5300404430104230200
64531123014021030
7326132555605515
oct41533701205612
98166855884780
102314434055050
118126007612a7
12314677347776
1313a3338a8050
148003a9b5d7c
154030c95d800
hex21adf050b8a

2314434055050 has 144 divisors (see below), whose sum is σ = 6698581763328. Its totient is φ = 569523715200.

The previous prime is 2314434055039. The next prime is 2314434055069. The reversal of 2314434055050 is 505504344132.

2314434055050 is a `hidden beast` number, since 2 + 3 + 14 + 4 + 3 + 40 + 550 + 50 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2314434054996 and 2314434055014.

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 71 ways as a sum of consecutive naturals, for example, 18605359 + ... + 18729341.

It is an arithmetic number, because the mean of its divisors is an integer number (46517928912).

Almost surely, 22314434055050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314434055050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349290881664).

2314434055050 is an abundant number, since it is smaller than the sum of its proper divisors (4384147708278).

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

2314434055050 is a wasteful number, since it uses less digits than its factorization.

2314434055050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127205 (or 127197 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 2314434055050 its reverse (505504344132), we get a palindrome (2819938399182).

The spelling of 2314434055050 in words is "two trillion, three hundred fourteen billion, four hundred thirty-four million, fifty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 3191 5850 6382 9573 15955 19146 28719 31910 41483 47865 57438 79775 82966 95730 123983 124449 143595 159550 207415 239325 247966 248898 287190 371949 373347 414830 478650 619915 622245 717975 743898 746694 1037075 1115847 1239830 1244490 1435950 1611779 1859745 1866735 2074150 2231694 3099575 3111225 3223558 3719490 3733470 4835337 5579235 6199150 6222450 8058895 9298725 9333675 9670674 11158470 14506011 16117790 18597450 18667350 24176685 27896175 29012022 40294475 48353370 55792350 72530055 80588950 120883425 145060110 241766850 362650275 395629753 725300550 791259506 1186889259 1978148765 2373778518 3560667777 3956297530 5143186789 5934446295 7121335554 9890743825 10286373578 11868892590 15429560367 17803338885 19781487650 25715933945 29672231475 30859120734 35606677770 46288681101 51431867890 59344462950 77147801835 89016694425 92577362202 128579669725 154295603670 178033388850 231443405505 257159339450 385739009175 462886811010 771478018350 1157217027525 2314434055050