Search a number
-
+
4024040040223 = 7429313175881
BaseRepresentation
bin111010100011101011011…
…110100010011100011111
3112020200202021021021111021
4322203223132202130133
51011412213222241343
612320341331305011
7563504314660000
oct72435336423437
915220667237437
104024040040223
111311649772705
1254ba76a4b167
132326084a39c8
14dca9bddd1a7
156ea1b75a0ed
hex3a8eb7a271f

4024040040223 has 80 divisors (see below), whose sum is σ = 5029635144960. Its totient is φ = 3212100057600.

The previous prime is 4024040040199. The next prime is 4024040040269. The reversal of 4024040040223 is 3220400404204.

4024040040223 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4024040040223 - 217 = 4024039909151 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024040040323) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 684241243 + ... + 684247123.

It is an arithmetic number, because the mean of its divisors is an integer number (62870439312).

Almost surely, 24024040040223 is an apocalyptic number.

4024040040223 is a deficient number, since it is larger than the sum of its proper divisors (1005595104737).

4024040040223 is an equidigital number, since it uses as much as digits as its factorization.

4024040040223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6286 (or 6265 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 4024040040223 its reverse (3220400404204), we get a palindrome (7244440444427).

The spelling of 4024040040223 in words is "four trillion, twenty-four billion, forty million, forty thousand, two hundred twenty-three".

Divisors: 1 7 29 31 49 203 217 317 343 899 1421 1519 2219 2401 5881 6293 9193 9827 9947 10633 15533 41167 44051 64351 68789 69629 74431 108731 170549 182311 284983 288169 308357 450457 481523 761117 1193843 1276177 1864277 1994881 2017183 2158499 3153199 3370661 5287019 8356901 8933239 13049939 13964167 14120281 22072393 23594627 37009133 54064033 57792587 58498307 62532673 91349573 97749169 259063931 378448231 404548109 409488149 437728711 639447011 684244183 1675985023 1813447517 2649137617 2831836763 4476129077 11731895161 12694132619 18543963319 19822857341 82123266127 129807743233 138760001387 574862862889 4024040040223