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23304440000331 = 32713935318614051
BaseRepresentation
bin1010100110001111111001…
…10111100010111101001011
310001111212211111022012021200
411103013330313202331023
511023304443120002311
6121321524551235243
74623455514415620
oct523077467427513
9101455744265250
1023304440000331
1174753a291aa76
122744681978b23
1310007a376c269
145a7d25c24347
152a6306974556
hex1531fcde2f4b

23304440000331 has 96 divisors (see below), whose sum is σ = 38887833653760. Its totient is φ = 13173228288000.

The previous prime is 23304440000329. The next prime is 23304440000339. The reversal of 23304440000331 is 13300004440332.

23304440000331 is a `hidden beast` number, since 23 + 304 + 4 + 4 + 0 + 0 + 0 + 0 + 331 = 666.

It is not a de Polignac number, because 23304440000331 - 21 = 23304440000329 is a prime.

It is a super-2 number, since 2×233044400003312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23304440000295 and 23304440000304.

It is not an unprimeable number, because it can be changed into a prime (23304440000339) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5752760256 + ... + 5752764306.

It is an arithmetic number, because the mean of its divisors is an integer number (405081600560).

Almost surely, 223304440000331 is an apocalyptic number.

23304440000331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23304440000331 is a deficient number, since it is larger than the sum of its proper divisors (15583393653429).

23304440000331 is a wasteful number, since it uses less digits than its factorization.

23304440000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6414 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 23304440000331 its reverse (13300004440332), we get a palindrome (36604444440663).

The spelling of 23304440000331 in words is "twenty-three trillion, three hundred four billion, four hundred forty million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 7 9 21 63 139 353 417 973 1059 1251 1861 2471 2919 3177 4051 5583 7413 8757 12153 13027 16749 22239 28357 36459 39081 49067 85071 117243 147201 255213 258679 343469 441603 563089 656933 776037 1030407 1430003 1689267 1810753 1970799 2328111 3091221 3941623 4290009 4598531 5067801 5432259 5912397 7538911 10010021 11824869 12870027 13795593 16296777 22616733 30030063 35474607 41386779 52772377 67850199 90090189 91313687 158317131 198770417 273941061 474951393 596311251 639195809 821823183 1047908629 1391392919 1788933753 1917587427 2661235583 3143725887 4174178757 5752762281 7335360403 7983706749 9431177661 12522536271 18628649081 22006081209 23951120247 55885947243 66018243627 167657841729 369911746037 1109735238111 2589382222259 3329205714333 7768146666777 23304440000331