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40141467240 = 23357313761683
BaseRepresentation
bin100101011000100111…
…100010111001101000
310211121112020211001220
4211120213202321220
51124202203422430
630235110542040
72620512561510
oct453047427150
9124545224056
1040141467240
11160298a2516
127943367920
133a294846a4
141d2b2b4840
15109e12d110
hex9589e2e68

40141467240 has 512 divisors, whose sum is σ = 148516208640. Its totient is φ = 8485171200.

The previous prime is 40141467217. The next prime is 40141467241. The reversal of 40141467240 is 4276414104.

It is a super-2 number, since 2×401414672402 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40141467241) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 58771939 + ... + 58772621.

It is an arithmetic number, because the mean of its divisors is an integer number (290070720).

Almost surely, 240141467240 is an apocalyptic number.

40141467240 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 40141467240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74258104320).

40141467240 is an abundant number, since it is smaller than the sum of its proper divisors (108374741400).

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

40141467240 is a wasteful number, since it uses less digits than its factorization.

40141467240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 40141467240 in words is "forty billion, one hundred forty-one million, four hundred sixty-seven thousand, two hundred forty".