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344011243041 = 321723301932381
BaseRepresentation
bin1010000000110001010…
…10101111111000100001
31012212221201211211020200
411000120222233320201
521114013334234131
6422011522455413
733565630214304
oct5003052577041
91185851754220
10344011243041
11122992418634
1256808804569
1326594c3b15b
141291634cb3b
158e363dc2e6
hex5018aafe21

344011243041 has 48 divisors (see below), whose sum is σ = 549209082240. Its totient is φ = 206390638080.

The previous prime is 344011243039. The next prime is 344011243099. The reversal of 344011243041 is 140342110443.

344011243041 is a `hidden beast` number, since 344 + 0 + 1 + 12 + 4 + 304 + 1 = 666.

It is not a de Polignac number, because 344011243041 - 21 = 344011243039 is a prime.

It is a super-2 number, since 2×3440112430412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344011242996 and 344011243014.

It is not an unprimeable number, because it can be changed into a prime (344011243141) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10607671 + ... + 10640051.

It is an arithmetic number, because the mean of its divisors is an integer number (11441855880).

Almost surely, 2344011243041 is an apocalyptic number.

It is an amenable number.

344011243041 is a deficient number, since it is larger than the sum of its proper divisors (205197839199).

344011243041 is a wasteful number, since it uses less digits than its factorization.

344011243041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35446 (or 35443 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 344011243041 its reverse (140342110443), we get a palindrome (484353353484).

The spelling of 344011243041 in words is "three hundred forty-four billion, eleven million, two hundred forty-three thousand, forty-one".

Divisors: 1 3 9 17 23 51 69 153 207 391 1173 3019 3519 9057 27171 32381 51323 69437 97143 153969 208311 291429 461907 550477 624933 744763 1180429 1651431 2234289 3541287 4954293 6702867 10623861 12660971 37982913 97758239 113948739 293274717 879824151 1661890063 2248439497 4985670189 6745318491 14957010567 20235955473 38223471449 114670414347 344011243041