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4312131040 = 255771211257
BaseRepresentation
bin1000000010000010…
…11110010111100000
3102010112000221202001
410001001132113200
532312401143130
61551515533344
7211600336420
oct40101362740
912115027661
104312131040
1119130a3968
12a0415a254
135394a9039
142cc9a4480
151a387d6ca
hex10105e5e0

4312131040 has 192 divisors, whose sum is σ = 11908850688. Its totient is φ = 1445068800.

The previous prime is 4312131001. The next prime is 4312131077. The reversal of 4312131040 is 401312134.

It is a super-2 number, since 2×43121310402 = 37188948212262963200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4312130999 and 4312131017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16778592 + ... + 16778848.

It is an arithmetic number, because the mean of its divisors is an integer number (62025264).

Almost surely, 24312131040 is an apocalyptic number.

4312131040 is a gapful number since it is divisible by the number (40) 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 4312131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5954425344).

4312131040 is an abundant number, since it is smaller than the sum of its proper divisors (7596719648).

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

4312131040 is a wasteful number, since it uses less digits than its factorization.

4312131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4312131040 is about 65666.8184093001. The cubic root of 4312131040 is about 1627.6610965410.

Adding to 4312131040 its reverse (401312134), we get a palindrome (4713443174).

The spelling of 4312131040 in words is "four billion, three hundred twelve million, one hundred thirty-one thousand, forty".