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40645488312 = 23361113223163
BaseRepresentation
bin100101110110101010…
…001110111010111000
310212220122122202000000
4211312222032322320
51131220221111222
630401113513000
72636142643632
oct456652167270
9125818582000
1040645488312
1116268355a60
127a64112760
133aa9a16b00
141d781d5a52
1510cd4dc9ac
hex976a8eeb8

40645488312 has 672 divisors, whose sum is σ = 141709461120. Its totient is φ = 10808328960.

The previous prime is 40645488283. The next prime is 40645488319. The reversal of 40645488312 is 21388454604.

40645488312 is a `hidden beast` number, since 40 + 64 + 548 + 8 + 3 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40645488319) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 249358743 + ... + 249358905.

Almost surely, 240645488312 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 40645488312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70854730560).

40645488312 is an abundant number, since it is smaller than the sum of its proper divisors (101063972808).

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

40645488312 is a wasteful number, since it uses less digits than its factorization.

40645488312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 40645488312 in words is "forty billion, six hundred forty-five million, four hundred eighty-eight thousand, three hundred twelve".