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40018841856 = 28357293169
BaseRepresentation
bin100101010001010011…
…110001000100000000
310211021222111210200000
4211101103301010000
51123424310414411
630215010400000
72614463354220
oct452123610400
9124258453600
1040018841856
1115a76658224
12790a290000
133a09c4b7a6
141d18cb4080
1510934a9956
hex9514f1100

40018841856 has 432 divisors, whose sum is σ = 141511843200. Its totient is φ = 11036196864.

The previous prime is 40018841831. The next prime is 40018841879. The reversal of 40018841856 is 65814881004.

40018841856 is a `hidden beast` number, since 4 + 0 + 0 + 188 + 418 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12626640 + ... + 12629808.

Almost surely, 240018841856 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 40018841856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70755921600).

40018841856 is an abundant number, since it is smaller than the sum of its proper divisors (101493001344).

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

40018841856 is an equidigital number, since it uses as much as digits as its factorization.

40018841856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 40018841856 in words is "forty billion, eighteen million, eight hundred forty-one thousand, eight hundred fifty-six".