Search a number
-
+
4024411014 = 2313197337199
BaseRepresentation
bin1110111111011111…
…1010001110000110
3101101110122021001210
43233313322032012
531220222123024
61503201032250
7201504633501
oct35767721606
911343567053
104024411014
111785747618
12943925686
134c19ba7c0
142a26aa138
15188498129
hexefdfa386

4024411014 has 64 divisors (see below), whose sum is σ = 9249408000. Its totient is φ = 1157006592.

The previous prime is 4024410961. The next prime is 4024411057. The reversal of 4024411014 is 4101144204.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89587 + ... + 126785.

It is an arithmetic number, because the mean of its divisors is an integer number (144522000).

Almost surely, 24024411014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4024411014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624704000).

4024411014 is an abundant number, since it is smaller than the sum of its proper divisors (5224996986).

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

4024411014 is a wasteful number, since it uses less digits than its factorization.

4024411014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37309.

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4024411014 is about 63438.2456724648. The cubic root of 4024411014 is about 1590.6236776436.

Adding to 4024411014 its reverse (4101144204), we get a palindrome (8125555218).

The spelling of 4024411014 in words is "four billion, twenty-four million, four hundred eleven thousand, fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 57 73 78 114 146 219 247 438 494 741 949 1387 1482 1898 2774 2847 4161 5694 8322 18031 36062 37199 54093 74398 108186 111597 223194 483587 706781 967174 1413562 1450761 2120343 2715527 2901522 4240686 5431054 8146581 9188153 16293162 18376306 27564459 35301851 51595013 55128918 70603702 103190026 105905553 154785039 211811106 309570078 670735169 1341470338 2012205507 4024411014