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40023959040 = 2932513219541
BaseRepresentation
bin100101010001100111…
…010010011000000000
310211022100010210010100
4211101213102120000
51123432113142130
630215312202400
72614555016142
oct452147223000
9124270123110
1040023959040
1115a795328aa
12790bb39400
133a0b020a00
141d19846c92
151093b6ac60
hex9519d2600

40023959040 has 720 divisors, whose sum is σ = 158288953680. Its totient is φ = 9316270080.

The previous prime is 40023959023. The next prime is 40023959069. The reversal of 40023959040 is 4095932004.

40023959040 is a `hidden beast` number, since 4 + 0 + 0 + 23 + 9 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-4 number, since 4×400239590404 (a number of 44 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40023958986 and 40023959004.

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 71 ways as a sum of consecutive naturals, for example, 73981170 + ... + 73981710.

It is an arithmetic number, because the mean of its divisors is an integer number (219845769).

Almost surely, 240023959040 is an apocalyptic number.

40023959040 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 40023959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79144476840).

40023959040 is an abundant number, since it is smaller than the sum of its proper divisors (118264994640).

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

40023959040 is a wasteful number, since it uses less digits than its factorization.

40023959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 40023959040 in words is "forty billion, twenty-three million, nine hundred fifty-nine thousand, forty".