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240130412020 = 22512006520601
BaseRepresentation
bin1101111110100011100…
…0110100110111110100
3211221211002201211122201
43133220320310313310
512413241341141040
6302151524034244
723230440552532
oct3375070646764
9757732654581
10240130412020
11929253a2774
123a657232984
131984b4028c5
14b89db19152
1563a661ba9a
hex37e8e34df4

240130412020 has 12 divisors (see below), whose sum is σ = 504273865284. Its totient is φ = 96052164800.

The previous prime is 240130411981. The next prime is 240130412021. The reversal of 240130412020 is 20214031042.

It can be written as a sum of positive squares in 2 ways, for example, as 90040804624 + 150089607396 = 300068^2 + 387414^2 .

It is a super-3 number, since 3×2401304120203 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240130412021) 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 3 ways as a sum of consecutive naturals, for example, 6003260281 + ... + 6003260320.

It is an arithmetic number, because the mean of its divisors is an integer number (42022822107).

Almost surely, 2240130412020 is an apocalyptic number.

240130412020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240130412020 is an abundant number, since it is smaller than the sum of its proper divisors (264143453264).

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

240130412020 is a wasteful number, since it uses less digits than its factorization.

240130412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12006520610 (or 12006520608 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 240130412020 its reverse (20214031042), we get a palindrome (260344443062).

The spelling of 240130412020 in words is "two hundred forty billion, one hundred thirty million, four hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 12006520601 24013041202 48026082404 60032603005 120065206010 240130412020