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412303210000 = 245411173759101
BaseRepresentation
bin1011111111111110010…
…11111011011000010000
31110102020010020012021021
411333333023323120100
523223344110210000
6513224240405224
741534154313633
oct5777713733020
91412203205237
10412303210000
11149947460150
1267aa7616814
132cb59555a66
1415d5418bc1a
15aad1aae11a
hex5fff2fb610

412303210000 has 800 divisors, whose sum is σ = 1216190194560. Its totient is φ = 133632000000.

The previous prime is 412303209961. The next prime is 412303210009. The reversal of 412303210000 is 12303214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (412303210009) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4082209950 + ... + 4082210050.

Almost surely, 2412303210000 is an apocalyptic number.

412303210000 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 412303210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608095097280).

412303210000 is an abundant number, since it is smaller than the sum of its proper divisors (803886984560).

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

412303210000 is a wasteful number, since it uses less digits than its factorization.

412303210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 412303210000 its reverse (12303214), we get a palindrome (412315513214).

The spelling of 412303210000 in words is "four hundred twelve billion, three hundred three million, two hundred ten thousand".