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2140331424 = 2537112312589
BaseRepresentation
bin111111110010010…
…1101110110100000
312112011102002202020
41333210231312200
513340411101144
6552214421440
7104016342210
oct17744556640
95464362666
102140331424
119a9185750
124b8961880
1328156c4ca
14164388240
15c7d82419
hex7f92dda0

2140331424 has 192 divisors, whose sum is σ = 7309854720. Its totient is φ = 531717120.

The previous prime is 2140331387. The next prime is 2140331491. The reversal of 2140331424 is 4241330412.

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

It is a junction number, because it is equal to n+sod(n) for n = 2140331394 and 2140331403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163722 + ... + 176310.

It is an arithmetic number, because the mean of its divisors is an integer number (38072160).

Almost surely, 22140331424 is an apocalyptic number.

2140331424 is a gapful number since it is divisible by the number (24) 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 2140331424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654927360).

2140331424 is an abundant number, since it is smaller than the sum of its proper divisors (5169523296).

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

2140331424 is a wasteful number, since it uses less digits than its factorization.

2140331424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12643 (or 12635 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2140331424 is about 46263.7160634552. The cubic root of 2140331424 is about 1288.7252644095.

Adding to 2140331424 its reverse (4241330412), we get a palindrome (6381661836).

The spelling of 2140331424 in words is "two billion, one hundred forty million, three hundred thirty-one thousand, four hundred twenty-four".