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40543782720 = 2635737915919
BaseRepresentation
bin100101110000100110…
…010000011101000000
310212122120021120011020
4211300212100131000
51131013202021340
630343041545440
72633466316110
oct456046203500
9125576246136
1040543782720
11162159aa051
127a36045280
133a91926b9c
141d688bd040
1510c45ec9d0
hex970990740

40543782720 has 224 divisors, whose sum is σ = 147513446400. Its totient is φ = 9242118144.

The previous prime is 40543782701. The next prime is 40543782739. The reversal of 40543782720 is 2728734504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40543782701) and next prime (40543782739).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2538921 + ... + 2554839.

Almost surely, 240543782720 is an apocalyptic number.

40543782720 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 40543782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73756723200).

40543782720 is an abundant number, since it is smaller than the sum of its proper divisors (106969663680).

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

40543782720 is a wasteful number, since it uses less digits than its factorization.

40543782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16325 (or 16315 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 40543782720 in words is "forty billion, five hundred forty-three million, seven hundred eighty-two thousand, seven hundred twenty".