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4412431341 = 34437312457
BaseRepresentation
bin1000001110000000…
…00101101111101101
3102101111202201220000
410013000011233231
533014040300331
62005501414513
7214226022213
oct40700055755
912344681800
104412431341
11196477aa7a
12a3186a439
135541c6426
142dc032cb3
151ac5920e6
hex107005bed

4412431341 has 20 divisors (see below), whose sum is σ = 6593446332. Its totient is φ = 2940712128.

The previous prime is 4412431333. The next prime is 4412431349. The reversal of 4412431341 is 1431342144.

It is an interprime number because it is at equal distance from previous prime (4412431333) and next prime (4412431349).

It can be written as a sum of positive squares in 2 ways, for example, as 3119669316 + 1292762025 = 55854^2 + 35955^2 .

It is not a de Polignac number, because 4412431341 - 23 = 4412431333 is a prime.

It is a super-3 number, since 3×44124313413 (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412431349) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 347985 + ... + 360441.

Almost surely, 24412431341 is an apocalyptic number.

It is an amenable number.

4412431341 is a deficient number, since it is larger than the sum of its proper divisors (2181014991).

4412431341 is a wasteful number, since it uses less digits than its factorization.

4412431341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16842 (or 16833 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4412431341 is about 66426.1344728112. The cubic root of 4412431341 is about 1640.1843116520.

Adding to 4412431341 its reverse (1431342144), we get a palindrome (5843773485).

The spelling of 4412431341 in words is "four billion, four hundred twelve million, four hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 9 27 81 4373 12457 13119 37371 39357 112113 118071 336339 354213 1009017 54474461 163423383 490270149 1470810447 4412431341