Search a number
-
+
123030250541415 = 32571920556432839
BaseRepresentation
bin11011111110010100110110…
…011000010101000101100111
3121010121120120200210000222100
4123332110312120111011213
5112111211423114311130
61113355152234303143
734625433204615450
oct3376246630250547
9533546520700870
10123030250541415
1136223922047438
1211970105b87ab3
13538591a1c3909
1422549a578c127
15e354749b2c60
hex6fe536615167

123030250541415 has 48 divisors (see below), whose sum is σ = 256544281843200. Its totient is φ = 53282273916096.

The previous prime is 123030250541333. The next prime is 123030250541417. The reversal of 123030250541415 is 514145052030321.

123030250541415 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 3 + 0 + 2 + 505 + 4 + 141 + 5 = 666.

It is not a de Polignac number, because 123030250541415 - 27 = 123030250541287 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123030250541415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123030250541417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10278210435 + ... + 10278222404.

It is an arithmetic number, because the mean of its divisors is an integer number (5344672538400).

Almost surely, 2123030250541415 is an apocalyptic number.

123030250541415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

123030250541415 is an abundant number, since it is smaller than the sum of its proper divisors (133514031301785).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123030250541415 is a wasteful number, since it uses less digits than its factorization.

123030250541415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20556432876 (or 20556432873 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 123030250541415 in words is "one hundred twenty-three trillion, thirty billion, two hundred fifty million, five hundred forty-one thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 20556432839 61669298517 102782164195 143895029873 185007895551 308346492585 390572223941 431685089619 719475149365 925039477755 1171716671823 1295055268857 1952861119705 2158425448095 2734005567587 3515150015469 5858583359115 6475276344285 8202016702761 13670027837935 17575750077345 24606050108283 41010083513805 123030250541415