Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
2314340434132 = 221725376949121
BaseRepresentation
bin100001101011011001011…
…100001000000011010100
322012020201100211102010021
4201223121130020003110
5300404232122343012
64531105431234524
7326130341052316
oct41533134100324
98166640742107
102314340434132
11812562927541
1231464bb18a44
1313a31a388c5c
148002c3a57b6
1540304619007
hex21ad97080d4

2314340434132 has 72 divisors (see below), whose sum is σ = 4389316941240. Its totient is φ = 1067141038080.

The previous prime is 2314340434103. The next prime is 2314340434139.

2314340434132 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 209531400516 + 2104809033616 = 457746^2 + 1450796^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314340434139) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 47090532 + ... + 47139652.

It is an arithmetic number, because the mean of its divisors is an integer number (60962735295).

Almost surely, 22314340434132 is an apocalyptic number.

It is an amenable number.

2314340434132 is a deficient number, since it is larger than the sum of its proper divisors (2074976507108).

2314340434132 is a wasteful number, since it uses less digits than its factorization.

2314340434132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49981 (or 49962 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 2314340 and 434132, that added together give a palindrome (2748472).

The spelling of 2314340434132 in words is "two trillion, three hundred fourteen billion, three hundred forty million, four hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 17 34 53 68 106 212 289 578 769 901 1156 1538 1802 3076 3604 13073 15317 26146 30634 40757 49121 52292 61268 81514 98242 163028 196484 222241 444482 692869 835057 888964 1385738 1670114 2603413 2771476 3340228 5206826 10413652 11778773 14195969 23557546 28391938 37774049 44258021 47115092 56783876 75548098 88516042 151096196 177032084 642158833 752386357 1284317666 1504772714 2002024597 2568635332 3009545428 4004049194 8008098388 10916700161 21833400322 34034418149 43666800644 68068836298 136137672596 578585108533 1157170217066 2314340434132