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340024121145 = 32542117947961
BaseRepresentation
bin1001111001010110000…
…01000101011100111001
31012111122212101001020100
410330223001011130321
521032332133334040
6420112132550013
733365054225232
oct4745301053471
91174585331210
10340024121145
1112122682a975
1255a95482309
13260aaba8327
14126589cc089
158ca135cb30
hex4f2b045739

340024121145 has 24 divisors (see below), whose sum is σ = 590775117192. Its totient is φ = 180915436800.

The previous prime is 340024121141. The next prime is 340024121153. The reversal of 340024121145 is 541121420043.

340024121145 is a `hidden beast` number, since 3 + 400 + 2 + 4 + 1 + 211 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 402082704 + 339622038441 = 20052^2 + 582771^2 .

It is not a de Polignac number, because 340024121145 - 22 = 340024121141 is a prime.

It is a super-2 number, since 2×3400241211452 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (340024121141) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8955036 + ... + 8992925.

It is an arithmetic number, because the mean of its divisors is an integer number (24615629883).

Almost surely, 2340024121145 is an apocalyptic number.

It is an amenable number.

340024121145 is a deficient number, since it is larger than the sum of its proper divisors (250750996047).

340024121145 is a wasteful number, since it uses less digits than its factorization.

340024121145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17948393 (or 17948390 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 340024121145 its reverse (541121420043), we get a palindrome (881145541188).

The spelling of 340024121145 in words is "three hundred forty billion, twenty-four million, one hundred twenty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 421 1263 2105 3789 6315 18945 17947961 53843883 89739805 161531649 269219415 807658245 7556091581 22668274743 37780457905 68004824229 113341373715 340024121145