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4201442344 = 231126171153
BaseRepresentation
bin1111101001101100…
…1110110000101000
3101211210202101101201
43322123032300220
532101032123334
61532523253544
7206054446021
oct37233166050
911753671351
104201442344
111866671900
1299307a2b4
1351c592378
142bbdcdc48
15198cb6c14
hexfa6cec28

4201442344 has 48 divisors (see below), whose sum is σ = 8801038260. Its totient is φ = 1878412800.

The previous prime is 4201442327. The next prime is 4201442351. The reversal of 4201442344 is 4432441024.

It can be written as a sum of positive squares in 2 ways, for example, as 2917080100 + 1284362244 = 54010^2 + 35838^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 23472 + ... + 94624.

Almost surely, 24201442344 is an apocalyptic number.

4201442344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201442344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4400519130).

4201442344 is an abundant number, since it is smaller than the sum of its proper divisors (4599595916).

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

4201442344 is a wasteful number, since it uses less digits than its factorization.

4201442344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71242 (or 71227 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 4201442344 is about 64818.5339544177. The cubic root of 4201442344 is about 1613.6133168808.

Adding to 4201442344 its reverse (4432441024), we get a palindrome (8633883368).

The spelling of 4201442344 in words is "four billion, two hundred one million, four hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 61 88 121 122 242 244 484 488 671 968 1342 2684 5368 7381 14762 29524 59048 71153 142306 284612 569224 782683 1565366 3130732 4340333 6261464 8609513 8680666 17219026 17361332 34438052 34722664 47743663 68876104 95487326 190974652 381949304 525180293 1050360586 2100721172 4201442344