Search a number
-
+
4059231345 = 32513191732111
BaseRepresentation
bin1111000111110010…
…1111010001110001
3101110220011022120200
43301330233101301
531303130400340
61510443225413
7202406616501
oct36174572161
911426138520
104059231345
1117a336a654
12953518269
134c8c8c850
142a7171a01
1518b575330
hexf1f2f471

4059231345 has 96 divisors (see below), whose sum is σ = 8025937920. Its totient is φ = 1881377280.

The previous prime is 4059231343. The next prime is 4059231361. The reversal of 4059231345 is 5431329504.

4059231345 is a `hidden beast` number, since 4 + 0 + 592 + 31 + 34 + 5 = 666.

It is not a de Polignac number, because 4059231345 - 21 = 4059231343 is a prime.

It is a super-2 number, since 2×40592313452 = 32954718224461018050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4059231343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1921840 + ... + 1923950.

It is an arithmetic number, because the mean of its divisors is an integer number (83603520).

Almost surely, 24059231345 is an apocalyptic number.

4059231345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4059231345 is a deficient number, since it is larger than the sum of its proper divisors (3966706575).

4059231345 is a wasteful number, since it uses less digits than its factorization.

4059231345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 4059231345 is about 63712.0973206816. The cubic root of 4059231345 is about 1595.1980172323.

The spelling of 4059231345 in words is "four billion, fifty-nine million, two hundred thirty-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 19 39 45 57 65 95 117 171 173 195 247 285 519 585 741 855 865 1235 1557 2111 2223 2249 2595 3287 3705 6333 6747 7785 9861 10555 11115 11245 16435 18999 20241 27443 29583 31665 33735 40109 42731 49305 82329 94995 101205 120327 128193 137215 147915 200545 213655 246987 360981 365203 384579 411645 521417 601635 640965 1095609 1234935 1564251 1804905 1826015 1922895 2607085 3286827 4692753 4747639 5478045 6938857 7821255 14242917 16434135 20816571 23463765 23738195 34694285 42728751 62449713 71214585 90205141 104082855 213643755 270615423 312248565 451025705 811846269 1353077115 4059231345