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4427136342 = 2321078772621
BaseRepresentation
bin1000001111110000…
…01011110101010110
3102102112102211100200
410013320023311112
533031321330332
62011144521330
7214465016016
oct40770136526
912375384320
104427136342
111972004072
12a36780246
13557274705
142ddd7dc46
151ad9e917c
hex107e0bd56

4427136342 has 48 divisors (see below), whose sum is σ = 9696512592. Its totient is φ = 1459696320.

The previous prime is 4427136341. The next prime is 4427136367. The reversal of 4427136342 is 2436317244.

4427136342 is a `hidden beast` number, since 4 + 4 + 2 + 7 + 13 + 634 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4427136297 and 4427136306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4427136341) 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 23 ways as a sum of consecutive naturals, for example, 1687792 + ... + 1690412.

It is an arithmetic number, because the mean of its divisors is an integer number (202010679).

Almost surely, 24427136342 is an apocalyptic number.

4427136342 is an abundant number, since it is smaller than the sum of its proper divisors (5269376250).

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

4427136342 is a wasteful number, since it uses less digits than its factorization.

4427136342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613 (or 3610 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 4427136342 is about 66536.7292703812. The cubic root of 4427136342 is about 1642.0043338001.

The spelling of 4427136342 in words is "four billion, four hundred twenty-seven million, one hundred thirty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 107 214 321 642 877 963 1754 1926 2621 2631 5242 5262 7863 7893 15726 15786 23589 47178 93839 187678 280447 281517 560894 563034 841341 844551 1682682 1689102 2298617 2524023 4597234 5048046 6895851 13791702 20687553 41375106 245952019 491904038 737856057 1475712114 2213568171 4427136342