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123023440413 = 3337360734141
BaseRepresentation
bin111001010010011000…
…1001011101000011101
3102202112201022022001000
41302210301023220131
54003423000043123
6132303255140513
711613430663326
oct1624461135035
9382481268030
10123023440413
11481a0585705
121ba14374739
13b7a76b7c73
145d50ad144d
153300629b43
hex1ca4c4ba1d

123023440413 has 32 divisors (see below), whose sum is σ = 187240190720. Its totient is φ = 79774528320.

The previous prime is 123023440409. The next prime is 123023440447. The reversal of 123023440413 is 314044320321.

123023440413 is a `hidden beast` number, since 1 + 2 + 302 + 344 + 0 + 4 + 13 = 666.

It is not a de Polignac number, because 123023440413 - 22 = 123023440409 is a prime.

It is a super-2 number, since 2×1230234404132 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123023440013) 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, 3586323 + ... + 3620463.

It is an arithmetic number, because the mean of its divisors is an integer number (5851255960).

Almost surely, 2123023440413 is an apocalyptic number.

It is an amenable number.

123023440413 is a deficient number, since it is larger than the sum of its proper divisors (64216750307).

123023440413 is a wasteful number, since it uses less digits than its factorization.

123023440413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37794 (or 37788 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 123023440413 its reverse (314044320321), we get a palindrome (437067760734).

The spelling of 123023440413 in words is "one hundred twenty-three billion, twenty-three million, four hundred forty thousand, four hundred thirteen".

Divisors: 1 3 9 27 37 111 333 999 3607 10821 32463 34141 97389 102423 133459 307269 400377 921807 1201131 1263217 3603393 3789651 11368953 34106859 123146587 369439761 1108319283 3324957849 4556423719 13669271157 41007813471 123023440413