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413203702401 = 32712315328017
BaseRepresentation
bin1100000001101001101…
…11000010001010000001
31110111112212122221121200
412000310313002022001
523232220121434101
6513453445211413
741565400343130
oct6006467021201
91414485587550
10413203702401
1114a269799446
12680b9100b69
132cc70c925b9
1415ddb9d5917
15ab35b86986
hex6034dc2281

413203702401 has 24 divisors (see below), whose sum is σ = 682668290304. Its totient is φ = 235924548480.

The previous prime is 413203702369. The next prime is 413203702477. The reversal of 413203702401 is 104207302314.

It is a happy number.

413203702401 is a `hidden beast` number, since 413 + 2 + 0 + 3 + 7 + 0 + 240 + 1 = 666.

It is not a de Polignac number, because 413203702401 - 25 = 413203702369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413203702481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2586456 + ... + 2741561.

It is an arithmetic number, because the mean of its divisors is an integer number (28444512096).

Almost surely, 2413203702401 is an apocalyptic number.

It is an amenable number.

413203702401 is a deficient number, since it is larger than the sum of its proper divisors (269464587903).

413203702401 is a wasteful number, since it uses less digits than its factorization.

413203702401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5329261 (or 5329258 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 413203702401 in words is "four hundred thirteen billion, two hundred three million, seven hundred two thousand, four hundred one".

Divisors: 1 3 7 9 21 63 1231 3693 8617 11079 25851 77553 5328017 15984051 37296119 47952153 111888357 335665071 6558788927 19676366781 45911522489 59029100343 137734567467 413203702401