Search a number
-
+
15831580140 = 223351719139653
BaseRepresentation
bin11101011111010001…
…01011110111101100
31111212022220121012000
432233220223313230
5224410341031030
611134541412300
71100215132215
oct165750536754
944768817160
1015831580140
116794572532
123099b6a090
131653c081cc
14aa285040c
15629d28860
hex3afa2bdec

15831580140 has 384 divisors, whose sum is σ = 55375488000. Its totient is φ = 3731484672.

The previous prime is 15831580117. The next prime is 15831580187. The reversal of 15831580140 is 4108513851.

15831580140 is a `hidden beast` number, since 1 + 5 + 8 + 31 + 580 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15831580095 and 15831580104.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24244054 + ... + 24244706.

It is an arithmetic number, because the mean of its divisors is an integer number (144207000).

Almost surely, 215831580140 is an apocalyptic number.

15831580140 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 15831580140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27687744000).

15831580140 is an abundant number, since it is smaller than the sum of its proper divisors (39543907860).

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

15831580140 is a wasteful number, since it uses less digits than its factorization.

15831580140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 15831580140 in words is "fifteen billion, eight hundred thirty-one million, five hundred eighty thousand, one hundred forty".