Search a number
-
+
123986514000 = 24353192347287
BaseRepresentation
bin111001101111000101…
…1000001000001010000
3102212000211111111122010
41303132023001001100
54012411021422000
6132543021142520
711646333660126
oct1633613010120
9385024444563
10123986514000
1148645178098
12200429baa40
13b8cc0965ab
146002989916
153359e64d50
hex1cde2c1050

123986514000 has 320 divisors, whose sum is σ = 439074754560. Its totient is φ = 29960409600.

The previous prime is 123986513953. The next prime is 123986514007. The reversal of 123986514000 is 415689321.

It is a self number, because there is not a number n which added to its sum of digits gives 123986514000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123986514007) 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, 2598357 + ... + 2645643.

It is an arithmetic number, because the mean of its divisors is an integer number (1372108608).

Almost surely, 2123986514000 is an apocalyptic number.

123986514000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123986514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219537377280).

123986514000 is an abundant number, since it is smaller than the sum of its proper divisors (315088240560).

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

123986514000 is a wasteful number, since it uses less digits than its factorization.

123986514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47355 (or 47339 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 123986514000 in words is "one hundred twenty-three billion, nine hundred eighty-six million, five hundred fourteen thousand".