Search a number
-
+
123040414233 = 33114113217649
BaseRepresentation
bin111001010010111000…
…1111011101000011001
3102202120220020122202000
41302211301323220121
54003441321223413
6132305103031213
711614025156562
oct1624561735031
9382526218660
10123040414233
11481aa119360
121ba19b9b509
13b7ab07bb49
145d5306d169
153301d7e073
hex1ca5c7ba19

123040414233 has 64 divisors (see below), whose sum is σ = 203884128000. Its totient is φ = 72686592000.

The previous prime is 123040414213. The next prime is 123040414249. The reversal of 123040414233 is 332414040321.

123040414233 is a `hidden beast` number, since 1 + 23 + 0 + 404 + 1 + 4 + 233 = 666.

It is a de Polignac number, because none of the positive numbers 2k-123040414233 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 123040414197 and 123040414206.

It is not an unprimeable number, because it can be changed into a prime (123040414213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16081993 + ... + 16089641.

It is an arithmetic number, because the mean of its divisors is an integer number (3185689500).

Almost surely, 2123040414233 is an apocalyptic number.

It is an amenable number.

123040414233 is a deficient number, since it is larger than the sum of its proper divisors (80843713767).

123040414233 is a wasteful number, since it uses less digits than its factorization.

123040414233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9031 (or 9025 counting only the distinct ones).

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

Adding to 123040414233 its reverse (332414040321), we get a palindrome (455454454554).

The spelling of 123040414233 in words is "one hundred twenty-three billion, forty million, four hundred fourteen thousand, two hundred thirty-three".

Divisors: 1 3 9 11 27 33 41 99 123 297 369 451 1107 1321 1353 3963 4059 7649 11889 12177 14531 22947 35667 43593 54161 68841 84139 130779 162483 206523 252417 313609 392337 487449 595771 757251 940827 1462347 1787313 2271753 2822481 3449699 5361939 8467443 10104329 10349097 16085817 30312987 31047291 90938961 93141873 111147619 272816883 333442857 414277489 1000328571 1242832467 3000985713 3728497401 4557052379 11185492203 13671157137 41013471411 123040414233