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412435033344 = 28321998231093
BaseRepresentation
bin1100000000001110000…
…10110010110100000000
31110102120022021111220100
412000013002302310000
523224131332031334
6513245310042400
741540344640355
oct6000702626400
91412508244810
10412435033344
11149a04907a64
1267b237a9400
132cb7a95c439
1415d678a462c
15aadd44cc99
hex60070b2d00

412435033344 has 216 divisors, whose sum is σ = 1197674441600. Its totient is φ = 136496295936.

The previous prime is 412435033319. The next prime is 412435033391. The reversal of 412435033344 is 443330534214.

It is a happy number.

412435033344 is a `hidden beast` number, since 41 + 2 + 43 + 503 + 33 + 44 = 666.

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

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 412435033299 and 412435033308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377341662 + ... + 377342754.

Almost surely, 2412435033344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412435033344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598837220800).

412435033344 is an abundant number, since it is smaller than the sum of its proper divisors (785239408256).

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

412435033344 is a wasteful number, since it uses less digits than its factorization.

412435033344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 412435033344 its reverse (443330534214), we get a palindrome (855765567558).

The spelling of 412435033344 in words is "four hundred twelve billion, four hundred thirty-five million, thirty-three thousand, three hundred forty-four".