Search a number
-
+
430212141212034 = 23471525574968837
BaseRepresentation
bin110000111010001101001000…
…1110110101110000110000010
32002102020212201211002000222010
41201310122101312232012002
5422342043431122241114
64122552421304353350
7156421541625021306
oct14164322166560602
92072225654060863
10430212141212034
11115095a4311a185
1240301bb3775856
1315608aa54838ac
147834543371d06
1534b0c121e2c59
hex1874691dae182

430212141212034 has 16 divisors (see below), whose sum is σ = 878731182050688. Its totient is φ = 140352897132912.

The previous prime is 430212141212003. The next prime is 430212141212039.

It is a happy number.

430212141212034 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 430212141211992 and 430212141212010.

It is not an unprimeable number, because it can be changed into a prime (430212141212039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 762787484137 + ... + 762787484700.

It is an arithmetic number, because the mean of its divisors is an integer number (54920698878168).

Almost surely, 2430212141212034 is an apocalyptic number.

430212141212034 is an abundant number, since it is smaller than the sum of its proper divisors (448519040838654).

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

430212141212034 is a wasteful number, since it uses less digits than its factorization.

430212141212034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525574968889.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 430212141212034 in words is "four hundred thirty trillion, two hundred twelve billion, one hundred forty-one million, two hundred twelve thousand, thirty-four".

Divisors: 1 2 3 6 47 94 141 282 1525574968837 3051149937674 4576724906511 9153449813022 71702023535339 143404047070678 215106070606017 430212141212034