Search a number
-
+
123807933945 = 3351098413723
BaseRepresentation
bin111001101001110000…
…1110010010111111001
3102211120101110200212000
41303103201302113321
54012024312341240
6132513201411213
711642035034433
oct1632341622771
9384511420760
10123807933945
1148563395273
121bbb3039b09
13b8a109bb17
145dc6d81653
15334943c430
hex1cd38725f9

123807933945 has 32 divisors (see below), whose sum is σ = 222122313600. Its totient is φ = 65425102272.

The previous prime is 123807933943. The next prime is 123807933961. The reversal of 123807933945 is 549339708321.

123807933945 is a `hidden beast` number, since 1 + 238 + 0 + 79 + 339 + 4 + 5 = 666.

It is not a de Polignac number, because 123807933945 - 21 = 123807933943 is a prime.

It is a super-3 number, since 3×1238079339453 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123807933891 and 123807933900.

It is not an unprimeable number, because it can be changed into a prime (123807933943) 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, 4192147 + ... + 4221576.

It is an arithmetic number, because the mean of its divisors is an integer number (6941322300).

Almost surely, 2123807933945 is an apocalyptic number.

123807933945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123807933945 is a deficient number, since it is larger than the sum of its proper divisors (98314379655).

123807933945 is a wasteful number, since it uses less digits than its factorization.

123807933945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8413846 (or 8413840 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 123807933945 in words is "one hundred twenty-three billion, eight hundred seven million, nine hundred thirty-three thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 27 45 109 135 327 545 981 1635 2943 4905 14715 8413723 25241169 42068615 75723507 126205845 227170521 378617535 917095807 1135852605 2751287421 4585479035 8253862263 13756437105 24761586789 41269311315 123807933945