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40387242840 = 233571923110023
BaseRepresentation
bin100101100111010001…
…000110101101011000
310212020122201111210220
4211213101012231120
51130203113232330
630315330440040
72626555620450
oct454721065530
9125218644726
1040387242840
111614560034a
1279b1733020
133a68378339
141d51bb0d60
1510b59ca710
hex967446b58

40387242840 has 256 divisors, whose sum is σ = 152097177600. Its totient is φ = 8365192704.

The previous prime is 40387242809. The next prime is 40387242871. The reversal of 40387242840 is 4824278304.

It is an interprime number because it is at equal distance from previous prime (40387242809) and next prime (40387242871).

It is a super-2 number, since 2×403872428402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40387242792 and 40387242801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312069 + ... + 422091.

It is an arithmetic number, because the mean of its divisors is an integer number (594129600).

Almost surely, 240387242840 is an apocalyptic number.

40387242840 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 40387242840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76048588800).

40387242840 is an abundant number, since it is smaller than the sum of its proper divisors (111709934760).

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

40387242840 is a wasteful number, since it uses less digits than its factorization.

40387242840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110086 (or 110082 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 40387242840 in words is "forty billion, three hundred eighty-seven million, two hundred forty-two thousand, eight hundred forty".