Search a number
-
+
412316303364 = 22327341814423
BaseRepresentation
bin1011111111111111111…
…01111000000000000100
31110102021000212101222200
411333333331320000010
523223410433201424
6513225425154500
741534403516000
oct5777775700004
91412230771880
10412316303364
11149953893409
1267aaba8ba30
132cb5c18b604
1415d55bd9700
15aad2ce88c9
hex5ffff78004

412316303364 has 144 divisors (see below), whose sum is σ = 1245091411200. Its totient is φ = 114931232640.

The previous prime is 412316303353. The next prime is 412316303381. The reversal of 412316303364 is 463303613214.

412316303364 is a `hidden beast` number, since 4 + 1 + 2 + 316 + 3 + 0 + 336 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99057 + ... + 913479.

Almost surely, 2412316303364 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 412316303364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622545705600).

412316303364 is an abundant number, since it is smaller than the sum of its proper divisors (832775107836).

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

412316303364 is a wasteful number, since it uses less digits than its factorization.

412316303364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814495 (or 814476 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 412316303364 its reverse (463303613214), we get a palindrome (875619916578).

The spelling of 412316303364 in words is "four hundred twelve billion, three hundred sixteen million, three hundred three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 49 63 82 84 98 123 126 147 164 196 246 252 287 294 343 369 441 492 574 588 686 738 861 882 1029 1148 1372 1476 1722 1764 2009 2058 2583 3087 3444 4018 4116 5166 6027 6174 8036 10332 12054 12348 14063 18081 24108 28126 36162 42189 56252 72324 84378 126567 168756 253134 506268 814423 1628846 2443269 3257692 4886538 5700961 7329807 9773076 11401922 14659614 17102883 22803844 29319228 33391343 34205766 39906727 51308649 66782686 68411532 79813454 100174029 102617298 119720181 133565372 159626908 200348058 205234596 233739401 239440362 279347089 300522087 359160543 400696116 467478802 478880724 558694178 601044174 701218203 718321086 838041267 934957604 1117388356 1202088348 1402436406 1436642172 1636175807 1676082534 2103654609 2514123801 2804872812 3272351614 3352165068 4207309218 4908527421 5028247602 6544703228 8414618436 9817054842 10056495204 11453230649 14725582263 19634109684 22906461298 29451164526 34359691947 45812922596 58902329052 68719383894 103079075841 137438767788 206158151682 412316303364