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412533222240 = 253511346316427
BaseRepresentation
bin1100000000011001110…
…01010110101101100000
31110102211011001000202010
412000030321112231200
523224332001102430
6513303134352520
741542646350356
oct6001471265540
91412734030663
10412533222240
11149a55281807
1267b5065b740
132cb950ba789
1415d769437d6
15aae6d95cb0
hex600ce56b60

412533222240 has 192 divisors, whose sum is σ = 1313890937856. Its totient is φ = 108793208832.

The previous prime is 412533222229. The next prime is 412533222271. The reversal of 412533222240 is 42222335214.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 412533222198 and 412533222207.

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, 25104907 + ... + 25121333.

It is an arithmetic number, because the mean of its divisors is an integer number (6843181968).

Almost surely, 2412533222240 is an apocalyptic number.

412533222240 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 412533222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656945468928).

412533222240 is an abundant number, since it is smaller than the sum of its proper divisors (901357715616).

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

412533222240 is a wasteful number, since it uses less digits than its factorization.

412533222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17021 (or 17013 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 412533222240 its reverse (42222335214), we get a palindrome (454755557454).

The spelling of 412533222240 in words is "four hundred twelve billion, five hundred thirty-three million, two hundred twenty-two thousand, two hundred forty".