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240097001040 = 24335139479029
BaseRepresentation
bin1101111110011011100…
…1010111111001010000
3211221201202212101102000
43133212321113321100
512413204313013130
6302144331554000
723226553556451
oct3374671277120
9757652771360
10240097001040
1192908552596
123a647bbb900
13198445051b0
14b8994dd128
1563a371c260
hex37e6e57e50

240097001040 has 320 divisors, whose sum is σ = 891655430400. Its totient is φ = 59031853056.

The previous prime is 240097001021. The next prime is 240097001047. The reversal of 240097001040 is 40100790042.

It is a happy number.

It is a super-2 number, since 2×2400970010402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 240097000995 and 240097001013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240097001047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26587246 + ... + 26596274.

It is an arithmetic number, because the mean of its divisors is an integer number (2786423220).

Almost surely, 2240097001040 is an apocalyptic number.

240097001040 is a gapful number since it is divisible by the number (20) 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 240097001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445827715200).

240097001040 is an abundant number, since it is smaller than the sum of its proper divisors (651558429360).

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

240097001040 is a wasteful number, since it uses less digits than its factorization.

240097001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10011 (or 9999 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 240097001040 its reverse (40100790042), we get a palindrome (280197791082).

The spelling of 240097001040 in words is "two hundred forty billion, ninety-seven million, one thousand, forty".