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130231859940 = 223557213233159
BaseRepresentation
bin111100101001001101…
…1000111101011100100
3110110011002012221200000
41321102123013223210
54113203324004230
6135454440421300
712260160354600
oct1712233075344
9413132187600
10130231859940
115025a542a16
12212a6477830
13c385c35570
1464361c2500
1535c33b2b60
hex1e526c7ae4

130231859940 has 1728 divisors, whose sum is σ = 562167889920. Its totient is φ = 25003883520.

The previous prime is 130231859921. The next prime is 130231859951. The reversal of 130231859940 is 49958132031.

It is a happy number.

130231859940 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 3 + 18 + 599 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2207319631 + ... + 2207319689.

It is an arithmetic number, because the mean of its divisors is an integer number (325328640).

Almost surely, 2130231859940 is an apocalyptic number.

130231859940 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 130231859940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281083944960).

130231859940 is an abundant number, since it is smaller than the sum of its proper divisors (431936029980).

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

130231859940 is a wasteful number, since it uses less digits than its factorization.

130231859940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 130231859940 in words is "one hundred thirty billion, two hundred thirty-one million, eight hundred fifty-nine thousand, nine hundred forty".