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130431000240 = 24325181154167
BaseRepresentation
bin111100101111001001…
…0110001111010110000
3110110122221221022210200
41321132102301322300
54114110314001430
6135530312555200
712265126131552
oct1713622617260
9413587838720
10130431000240
1150351998a82
12213410b2b00
13c3b827b468
14645481d4d2
1535d5aec460
hex1e5e4b1eb0

130431000240 has 60 divisors (see below), whose sum is σ = 438030778224. Its totient is φ = 34781599872.

The previous prime is 130431000199. The next prime is 130431000247. The reversal of 130431000240 is 42000134031.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (130431000247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90576364 + ... + 90577803.

Almost surely, 2130431000240 is an apocalyptic number.

130431000240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130431000240 is an abundant number, since it is smaller than the sum of its proper divisors (307599777984).

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

130431000240 is a wasteful number, since it uses less digits than its factorization.

130431000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181154186 (or 181154177 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130431000240 its reverse (42000134031), we get a palindrome (172431134271).

The spelling of 130431000240 in words is "one hundred thirty billion, four hundred thirty-one million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 181154167 362308334 543462501 724616668 905770835 1086925002 1449233336 1630387503 1811541670 2173850004 2717312505 2898466672 3260775006 3623083340 4347700008 5434625010 6521550012 7246166680 8151937515 8695400016 10869250020 13043100024 14492333360 16303875030 21738500040 26086200048 32607750060 43477000080 65215500120 130431000240