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40495941504 = 2732295322871
BaseRepresentation
bin100101101101101111…
…110000011110000000
310212112020020222100100
4211231233300132000
51130413430112004
630334212322400
72632345552254
oct455557603600
9125466228310
1040495941504
11161a09a3257
127a22013400
133a84a46285
141d623c8264
1510c02ec739
hex96dbf0780

40495941504 has 192 divisors, whose sum is σ = 122829501600. Its totient is φ = 12786708480.

The previous prime is 40495941503. The next prime is 40495941511. The reversal of 40495941504 is 40514959404.

40495941504 is a `hidden beast` number, since 4 + 0 + 4 + 9 + 594 + 1 + 50 + 4 = 666.

40495941504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 40495941504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40495941503) 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, 1759189 + ... + 1782059.

Almost surely, 240495941504 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 40495941504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61414750800).

40495941504 is an abundant number, since it is smaller than the sum of its proper divisors (82333560096).

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

40495941504 is a wasteful number, since it uses less digits than its factorization.

40495941504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22973 (or 22958 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 40495941504 in words is "forty billion, four hundred ninety-five million, nine hundred forty-one thousand, five hundred four".