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424122140040 = 2335414710317807
BaseRepresentation
bin1100010101111111010…
…01100100010110001000
31111112201210122001022220
412022333221210112020
523422100231440130
6522501121214040
742433066464624
oct6127751442610
91445653561286
10424122140040
11153961989225
126a245791320
1330cc10306a1
1416755b14184
15b0744b4410
hex62bfa64588

424122140040 has 256 divisors, whose sum is σ = 1344130744320. Its totient is φ = 106938562560.

The previous prime is 424122140027. The next prime is 424122140041. The reversal of 424122140040 is 40041221424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (424122140041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23808817 + ... + 23826623.

It is an arithmetic number, because the mean of its divisors is an integer number (5250510720).

Almost surely, 2424122140040 is an apocalyptic number.

424122140040 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 424122140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672065372160).

424122140040 is an abundant number, since it is smaller than the sum of its proper divisors (920008604280).

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

424122140040 is a wasteful number, since it uses less digits than its factorization.

424122140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18012 (or 18008 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 424122140040 its reverse (40041221424), we get a palindrome (464163361464).

The spelling of 424122140040 in words is "four hundred twenty-four billion, one hundred twenty-two million, one hundred forty thousand, forty".