Search a number
-
+
324022160072 = 2313211321372
BaseRepresentation
bin1001011011100010011…
…10011100101011001000
31010222100122212012100102
410231301032130223020
520302044133110242
6404504223224532
732260366626422
oct4556116345310
91128318765312
10324022160072
11115465075756
125296a448148
132472a8b6600
141197b6a9812
1586665cae32
hex4b7139cac8

324022160072 has 108 divisors (see below), whose sum is σ = 668624028345. Its totient is φ = 147143313408.

The previous prime is 324022160051. The next prime is 324022160087. The reversal of 324022160072 is 270061220423.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 215921926276 + 108100233796 = 464674^2 + 328786^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=402506.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 2365125188 + ... + 2365125324.

Almost surely, 2324022160072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324022160072

324022160072 is an abundant number, since it is smaller than the sum of its proper divisors (344601868273).

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

324022160072 is a wasteful number, since it uses less digits than its factorization.

324022160072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

Adding to 324022160072 its reverse (270061220423), we get a palindrome (594083380495).

The spelling of 324022160072 in words is "three hundred twenty-four billion, twenty-two million, one hundred sixty thousand, seventy-two".

Divisors: 1 2 4 8 13 26 52 104 113 137 169 226 274 338 452 548 676 904 1096 1352 1469 1781 2938 3562 5876 7124 11752 12769 14248 15481 18769 19097 23153 25538 30962 37538 38194 46306 51076 61924 75076 76388 92612 102152 123848 150152 152776 165997 185224 201253 243997 331994 402506 487994 663988 805012 975988 1327976 1610024 1749353 1951976 2120897 2157961 2616289 3171961 3498706 4241794 4315922 5232578 6343922 6997412 8483588 8631844 10465156 12687844 13994824 16967176 17263688 20930312 22741589 25375688 27571661 45483178 55143322 90966356 110286644 181932712 220573288 239661361 295640657 358431593 479322722 591281314 716863186 958645444 1182562628 1433726372 1917290888 2365125256 2867452744 3115597693 6231195386 12462390772 24924781544 40502770009 81005540018 162011080036 324022160072