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4042240224 = 253112347989
BaseRepresentation
bin1111000011101111…
…1011000011100000
3101102201012002010220
43300323323003200
531234303141344
61505035123040
7202112321631
oct36073730340
911381162126
104042240224
111794814a00
129498a3480
134c55c0b29
142a4bcb888
15189d1ac19
hexf0efb0e0

4042240224 has 72 divisors (see below), whose sum is σ = 11663232840. Its totient is φ = 1224917760.

The previous prime is 4042240219. The next prime is 4042240243. The reversal of 4042240224 is 4220422404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4042240194 and 4042240203.

It is a congruent number.

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, 162379 + ... + 185610.

It is an arithmetic number, because the mean of its divisors is an integer number (161989345).

Almost surely, 24042240224 is an apocalyptic number.

4042240224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4042240224 is an abundant number, since it is smaller than the sum of its proper divisors (7620992616).

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

4042240224 is a wasteful number, since it uses less digits than its factorization.

4042240224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348024 (or 348005 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4042240224 is about 63578.6145177763. The cubic root of 4042240224 is about 1592.9691791445.

Adding to 4042240224 its reverse (4220422404), we get a palindrome (8262662628).

The spelling of 4042240224 in words is "four billion, forty-two million, two hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 347989 695978 1043967 1391956 2087934 2783912 3827879 4175868 5567824 7655758 8351736 11135648 11483637 15311516 16703472 22967274 30623032 33406944 42106669 45934548 61246064 84213338 91869096 122492128 126320007 168426676 183738192 252640014 336853352 367476384 505280028 673706704 1010560056 1347413408 2021120112 4042240224