Search a number
-
+
2314533555200 = 21052109829463
BaseRepresentation
bin100001101011100100111…
…100110100110000000000
322012021012211012222102102
4201223210330310300000
5300410131042231300
64531140530405532
7326135204416436
oct41534474646000
98167184188372
102314533555200
11812651941229
123146a47308a8
1313a34b3a5189
1480049cb6d56
15403165650d5
hex21ae4f34c00

2314533555200 has 132 divisors (see below), whose sum is σ = 5789882675280. Its totient is φ = 917318615040.

The previous prime is 2314533555151. The next prime is 2314533555233. The reversal of 2314533555200 is 25553354132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2375669 + ... + 3205131.

It is an arithmetic number, because the mean of its divisors is an integer number (43862747540).

Almost surely, 22314533555200 is an apocalyptic number.

2314533555200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314533555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894941337640).

2314533555200 is an abundant number, since it is smaller than the sum of its proper divisors (3475349120080).

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

2314533555200 is a wasteful number, since it uses less digits than its factorization.

2314533555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829602 (or 829579 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 38.

The spelling of 2314533555200 in words is "two trillion, three hundred fourteen billion, five hundred thirty-three million, five hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 109 128 160 200 218 256 320 400 436 512 545 640 800 872 1024 1090 1280 1600 1744 2180 2560 2725 3200 3488 4360 5120 5450 6400 6976 8720 10900 12800 13952 17440 21800 25600 27904 34880 43600 55808 69760 87200 111616 139520 174400 279040 348800 558080 697600 829463 1395200 1658926 2790400 3317852 4147315 6635704 8294630 13271408 16589260 20736575 26542816 33178520 41473150 53085632 66357040 82946300 90411467 106171264 132714080 165892600 180822934 212342528 265428160 331785200 361645868 424685056 452057335 530856320 663570400 723291736 849370112 904114670 1061712640 1327140800 1446583472 1808229340 2123425280 2260286675 2654281600 2893166944 3616458680 4246850560 4520573350 5308563200 5786333888 7232917360 9041146700 10617126400 11572667776 14465834720 18082293400 21234252800 23145335552 28931669440 36164586800 46290671104 57863338880 72329173600 92581342208 115726677760 144658347200 231453355520 289316694400 462906711040 578633388800 1157266777600 2314533555200