Search a number
-
+
2442414142442 = 231431019070637
BaseRepresentation
bin100011100010101011001…
…110100011001111101010
322122111022001002220022102
4203202223032203033222
5310004031010024232
65110010215253402
7341313204445031
oct43425316431752
98574261086272
102442414142442
1186190512316a
1233543367a262
1314941b152b01
14862dbac1718
15437ed2c9662
hex238ab3a33ea

2442414142442 has 32 divisors (see below), whose sum is σ = 3908066241024. Its totient is φ = 1142900136000.

The previous prime is 2442414142423. The next prime is 2442414142453.

It is a happy number.

2442414142442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2442414142396 and 2442414142405.

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, 4266053 + ... + 4804584.

It is an arithmetic number, because the mean of its divisors is an integer number (122127070032).

Almost surely, 22442414142442 is an apocalyptic number.

2442414142442 is a deficient number, since it is larger than the sum of its proper divisors (1465652098582).

2442414142442 is a wasteful number, since it uses less digits than its factorization.

2442414142442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9070814.

The product of its digits is 262144, while the sum is 38.

The spelling of 2442414142442 in words is "two trillion, four hundred forty-two billion, four hundred fourteen million, one hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 31 43 62 86 101 202 1333 2666 3131 4343 6262 8686 134633 269266 9070637 18141274 281189747 390037391 562379494 780074782 916134337 1832268674 12091159121 24182318242 28400164447 39393776491 56800328894 78787552982 1221207071221 2442414142442