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4414201434 = 238336397
BaseRepresentation
bin1000001110001101…
…10101111001011010
3102101122002200000000
410013012311321122
533020013421214
62010003353430
7214250043636
oct40706657132
912348080000
104414201434
111965779965
12a32382876
13554696016
142dc373dc6
151ac7e1809
hex1071b5e5a

4414201434 has 36 divisors (see below), whose sum is σ = 9931478154. Its totient is φ = 1471396104.

The previous prime is 4414201427. The next prime is 4414201439. The reversal of 4414201434 is 4341024144.

4414201434 is a `hidden beast` number, since 4 + 414 + 201 + 43 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2465420409 + 1948781025 = 49653^2 + 44145^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4414201398 and 4414201407.

It is not an unprimeable number, because it can be changed into a prime (4414201439) 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 17 ways as a sum of consecutive naturals, for example, 155077 + ... + 181320.

Almost surely, 24414201434 is an apocalyptic number.

4414201434 is an abundant number, since it is smaller than the sum of its proper divisors (5517276720).

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

4414201434 is an frugal number, since it uses more digits than its factorization.

4414201434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336423 (or 336402 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4414201434 is about 66439.4569062692. The cubic root of 4414201434 is about 1640.4036080296.

Adding to 4414201434 its reverse (4341024144), we get a palindrome (8755225578).

The spelling of 4414201434 in words is "four billion, four hundred fourteen million, two hundred one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 6561 13122 336397 672794 1009191 2018382 3027573 6055146 9082719 18165438 27248157 54496314 81744471 163488942 245233413 490466826 735700239 1471400478 2207100717 4414201434