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40182004036512 = 25321347463493193
BaseRepresentation
bin10010010001011100110100…
…00100111011001110100000
312021021100202221122000211200
421020232122010323032200
520231320221013132022
6221243205142241200
711315024342606622
oct1110563204731640
9167240687560750
1040182004036512
1111892101810578
12460b65ba26200
1319561ba46a720
149ccb68500c12
1549a35d333bac
hex248b9a13b3a0

40182004036512 has 288 divisors, whose sum is σ = 125947322661888. Its totient is φ = 12074476474368.

The previous prime is 40182004036511. The next prime is 40182004036513. The reversal of 40182004036512 is 21563040028104.

It is a happy number.

40182004036512 is a `hidden beast` number, since 4 + 0 + 182 + 0 + 0 + 403 + 65 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (40182004036511) and next prime (40182004036513).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×401820040365122 (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40182004036511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81226588 + ... + 81719780.

It is an arithmetic number, because the mean of its divisors is an integer number (437317092576).

Almost surely, 240182004036512 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 40182004036512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62973661330944).

40182004036512 is an abundant number, since it is smaller than the sum of its proper divisors (85765318625376).

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

40182004036512 is a wasteful number, since it uses less digits than its factorization.

40182004036512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493732 (or 493721 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 40182004036512 in words is "forty trillion, one hundred eighty-two billion, four million, thirty-six thousand, five hundred twelve".