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334312143131304 = 233213357171093089
BaseRepresentation
bin100110000000011100001110…
…0100010010001001010101000
31121211200221002001201001121100
41030000320130202101022220
5322304332232120200204
63143004513420041400
7130263153363053202
oct11400703442211250
91554627061631540
10334312143131304
1197581a90330748
12315b3b24393260
1311470666168590
145c7ab18c9d772
15289b35cd96a39
hex1300e1c8912a8

334312143131304 has 48 divisors (see below), whose sum is σ = 975077084135700. Its totient is φ = 102865274809344.

The previous prime is 334312143131293. The next prime is 334312143131353. The reversal of 334312143131304 is 403131341213433.

334312143131304 is a `hidden beast` number, since 3 + 3 + 4 + 3 + 1 + 214 + 3 + 131 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 332471535375204 + 1840607756100 = 18233802^2 + 1356690^2 .

It is a super-2 number, since 2×3343121431313042 (a number of 30 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178585545609 + ... + 178585547480.

Almost surely, 2334312143131304 is an apocalyptic number.

It is an amenable number.

334312143131304 is an abundant number, since it is smaller than the sum of its proper divisors (640764941004396).

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

334312143131304 is a wasteful number, since it uses less digits than its factorization.

334312143131304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357171093114 (or 357171093107 counting only the distinct ones).

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

Adding to 334312143131304 its reverse (403131341213433), we get a palindrome (737443484344737).

The spelling of 334312143131304 in words is "three hundred thirty-four trillion, three hundred twelve billion, one hundred forty-three million, one hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 357171093089 714342186178 1071513279267 1428684372356 2143026558534 2857368744712 3214539837801 4286053117068 4643224210157 6429079675602 8572106234136 9286448420314 12858159351204 13929672630471 18572896840628 25716318702408 27859345260942 37145793681256 41789017891413 55718690521884 83578035782826 111437381043768 167156071565652 334312143131304