Search a number
-
+
34031120312304 = 2432968232440817
BaseRepresentation
bin1111011110011011111001…
…10101100110011111110000
311110111100021021202010100200
413233031330311212133300
513430031213244443204
6200213403021315200
710111444612603653
oct757157465463760
9143440237663320
1034031120312304
11a930576254995
123997561405b00
1315cb17574305b
1485918783d89a
153e0362e07539
hex1ef37cd667f0

34031120312304 has 60 divisors (see below), whose sum is σ = 95240894098896. Its totient is φ = 11343584964096.

The previous prime is 34031120312297. The next prime is 34031120312327. The reversal of 34031120312304 is 40321302113043.

It is a happy number.

34031120312304 is a `hidden beast` number, since 3 + 4 + 0 + 31 + 12 + 0 + 312 + 304 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12722104 + ... + 15162920.

Almost surely, 234031120312304 is an apocalyptic number.

It is an amenable number.

34031120312304 is an abundant number, since it is smaller than the sum of its proper divisors (61209773786592).

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

34031120312304 is a wasteful number, since it uses less digits than its factorization.

34031120312304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537654 (or 2537645 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34031120312304 its reverse (40321302113043), we get a palindrome (74352422425347).

The spelling of 34031120312304 in words is "thirty-four trillion, thirty-one billion, one hundred twenty million, three hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 96823 193646 290469 387292 580938 774584 871407 1161876 1549168 1742814 2323752 2440817 3485628 4647504 4881634 6971256 7322451 9763268 13942512 14644902 19526536 21967353 29289804 39053072 43934706 58579608 87869412 117159216 175738824 351477648 236327224391 472654448782 708981673173 945308897564 1417963346346 1890617795128 2126945019519 2835926692692 3781235590256 4253890039038 5671853385384 8507780078076 11343706770768 17015560156152 34031120312304