Search a number
-
+
123461626441 = 19311014334793
BaseRepresentation
bin111001011111011100…
…0101110101001001001
3102210200020211110021011
41302332320232221021
54010322134021231
6132414551043521
711630331336526
oct1627670565111
9383606743234
10123461626441
11483a596231a
121bb170705a1
13b84740953a
145d92d9614d
153328d329b1
hex1cbee2ea49

123461626441 has 32 divisors (see below), whose sum is σ = 135821306880. Its totient is φ = 111787776000.

The previous prime is 123461626391. The next prime is 123461626513. The reversal of 123461626441 is 144626164321.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 123461626441 - 211 = 123461624393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123461626394 and 123461626403.

It is not an unprimeable number, because it can be changed into a prime (123465626441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25756341 + ... + 25761133.

It is an arithmetic number, because the mean of its divisors is an integer number (4244415840).

Almost surely, 2123461626441 is an apocalyptic number.

It is an amenable number.

123461626441 is a deficient number, since it is larger than the sum of its proper divisors (12359680439).

123461626441 is a wasteful number, since it uses less digits than its factorization.

123461626441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377.

The product of its digits is 165888, while the sum is 40.

The spelling of 123461626441 in words is "one hundred twenty-three billion, four hundred sixty-one million, six hundred twenty-six thousand, four hundred forty-one".

Divisors: 1 19 31 101 433 589 1919 3131 4793 8227 13423 43733 59489 91067 148583 255037 484093 830927 1355723 2075369 2823077 9197767 15006883 25758737 39432011 64336439 209612269 285130777 1222392341 3982633111 6497980339 123461626441