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40340859840 = 2633522920389
BaseRepresentation
bin100101100100100000…
…001010101111000000
310212010102110000022000
4211210200022233000
51130104230003330
630310552344000
72625453436161
oct454440125700
9125112400260
1040340859840
1116121400096
12799a0a5000
133a5b888388
141d49979768
1510b18b7560
hex96480abc0

40340859840 has 224 divisors, whose sum is σ = 142942056000. Its totient is φ = 10710061056.

The previous prime is 40340859809. The next prime is 40340859883. The reversal of 40340859840 is 4895804304.

It is a happy number.

40340859840 is a `hidden beast` number, since 403 + 40 + 85 + 98 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 1968366 + ... + 1988754.

Almost surely, 240340859840 is an apocalyptic number.

40340859840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40340859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71471028000).

40340859840 is an abundant number, since it is smaller than the sum of its proper divisors (102601196160).

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

40340859840 is a wasteful number, since it uses less digits than its factorization.

40340859840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20644 (or 20628 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 40340859840 in words is "forty billion, three hundred forty million, eight hundred fifty-nine thousand, eight hundred forty".