Search a number
-
+
2340143034432 = 26377392356127
BaseRepresentation
bin100010000011011011011…
…001001111000001000000
322021201022120222022120020
4202003123121033001000
5301320103104100212
64551014042413440
7331032632410260
oct42033331170100
98251276868506
102340143034432
118224a380aaa5
12319651201280
1313c89cc75a98
14813991937a0
1540d149c8d8c
hex220db64f040

2340143034432 has 112 divisors (see below), whose sum is σ = 7085725102080. Its totient is φ = 667707259392.

The previous prime is 2340143034403. The next prime is 2340143034469. The reversal of 2340143034432 is 2344303410432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 2340143034393 and 2340143034402.

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, 184848 + ... + 2171279.

Almost surely, 22340143034432 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 2340143034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542862551040).

2340143034432 is an abundant number, since it is smaller than the sum of its proper divisors (4745582067648).

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

2340143034432 is a wasteful number, since it uses less digits than its factorization.

2340143034432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356888 (or 2356878 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 2340143034432 its reverse (2344303410432), we get a palindrome (4684446444864).

The spelling of 2340143034432 in words is "two trillion, three hundred forty billion, one hundred forty-three million, thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 739 1344 1478 2217 2956 4434 5173 5912 8868 10346 11824 15519 17736 20692 23648 31038 35472 41384 47296 62076 70944 82768 124152 141888 165536 248304 331072 496608 993216 2356127 4712254 7068381 9424508 14136762 16492889 18849016 28273524 32985778 37698032 49478667 56547048 65971556 75396064 98957334 113094096 131943112 150792128 197914668 226188192 263886224 395829336 452376384 527772448 791658672 1055544896 1583317344 1741177853 3166634688 3482355706 5223533559 6964711412 10447067118 12188244971 13929422824 20894134236 24376489942 27858845648 36564734913 41788268472 48752979884 55717691296 73129469826 83576536944 97505959768 111435382592 146258939652 167153073888 195011919536 292517879304 334306147776 390023839072 585035758608 780047678144 1170071517216 2340143034432