Search a number
-
+
30441303504 = 24321712435173
BaseRepresentation
bin11100010110011100…
…010110110111010000
32220120111200102222100
4130112130112313100
5444320433203004
621552354440400
72125235544663
oct342634266720
986514612870
1030441303504
1111a0135a977
125a96893100
132b41938631
14168acc16da
15bd274a739
hex716716dd0

30441303504 has 60 divisors (see below), whose sum is σ = 90204752196. Its totient is φ = 9550212096.

The previous prime is 30441303467. The next prime is 30441303533. The reversal of 30441303504 is 40530314403.

30441303504 is a `hidden beast` number, since 304 + 4 + 1 + 3 + 0 + 350 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21100467600 + 9340835904 = 145260^2 + 96648^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6215139 + ... + 6220034.

Almost surely, 230441303504 is an apocalyptic number.

30441303504 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

30441303504 is an abundant number, since it is smaller than the sum of its proper divisors (59763448692).

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

30441303504 is a wasteful number, since it uses less digits than its factorization.

30441303504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12435204 (or 12435195 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 30441303504 its reverse (40530314403), we get a palindrome (70971617907).

The spelling of 30441303504 in words is "thirty billion, four hundred forty-one million, three hundred three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 12435173 24870346 37305519 49740692 74611038 99481384 111916557 149222076 198962768 211397941 223833114 298444152 422795882 447666228 596888304 634193823 845591764 895332456 1268387646 1691183528 1790664912 1902581469 2536775292 3382367056 3805162938 5073550584 7610325876 10147101168 15220651752 30441303504