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4121224434 = 23434972893
BaseRepresentation
bin1111010110100100…
…1110010011110010
3101122012210220010000
43311221032103302
531420013140214
61520540050430
7204061554405
oct36551162362
911565726100
104121224434
111825361a08
12970233a16
13508a86a52
142b14abd3c
15191c1d809
hexf5a4e4f2

4121224434 has 40 divisors (see below), whose sum is σ = 9261182700. Its totient is φ = 1369786464.

The previous prime is 4121224411. The next prime is 4121224441. The reversal of 4121224434 is 4344221214.

4121224434 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 224 + 434 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3949745409 + 171479025 = 62847^2 + 13095^2 .

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 = 4121224398 and 4121224407.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20092 + ... + 92984.

Almost surely, 24121224434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121224434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630591350).

4121224434 is an abundant number, since it is smaller than the sum of its proper divisors (5139958266).

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

4121224434 is a wasteful number, since it uses less digits than its factorization.

4121224434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73256 (or 73247 counting only the distinct ones).

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

The square root of 4121224434 is about 64196.7634230886. The cubic root of 4121224434 is about 1603.2777123016.

Adding to 4121224434 its reverse (4344221214), we get a palindrome (8465445648).

The spelling of 4121224434 in words is "four billion, one hundred twenty-one million, two hundred twenty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 349 698 1047 2094 3141 6282 9423 18846 28269 56538 72893 145786 218679 437358 656037 1312074 1968111 3936222 5904333 11808666 25439657 50879314 76318971 152637942 228956913 457913826 686870739 1373741478 2060612217 4121224434