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40001397696 = 2634134773173
BaseRepresentation
bin100101010000010001…
…001110001111000000
310211020202200112210000
4211100101032033000
51123410324211241
630213144440000
72614162161501
oct452021161700
9124222615700
1040001397696
1115a67823167
127904479000
133a064517c0
141d16852ba8
151091bb0eb6
hex95044e3c0

40001397696 has 560 divisors, whose sum is σ = 132965610624. Its totient is φ = 11812552704.

The previous prime is 40001397673. The next prime is 40001397703. The reversal of 40001397696 is 69679310004.

It is a super-2 number, since 2×400013976962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 231221866 + ... + 231222038.

Almost surely, 240001397696 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 40001397696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66482805312).

40001397696 is an abundant number, since it is smaller than the sum of its proper divisors (92964212928).

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

40001397696 is a wasteful number, since it uses less digits than its factorization.

40001397696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 40001397696 in words is "forty billion, one million, three hundred ninety-seven thousand, six hundred ninety-six".