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240002020240 = 2453000025253
BaseRepresentation
bin1101111110000100111…
…1000011001110010000
3211221111011010212020121
43133201033003032100
512413011004121430
6302131100120024
723224321340503
oct3374117031620
9757434125217
10240002020240
119286997a064
123a620236014
131982a92b138
14b88aa5713a
15639a209a7a
hex37e13c3390

240002020240 has 20 divisors (see below), whose sum is σ = 558004697244. Its totient is φ = 96000808064.

The previous prime is 240002020229. The next prime is 240002020253. The reversal of 240002020240 is 42020200042.

240002020240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 152877872016 + 87124148224 = 390996^2 + 295168^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1500012547 + ... + 1500012706.

Almost surely, 2240002020240 is an apocalyptic number.

240002020240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240002020240 is an abundant number, since it is smaller than the sum of its proper divisors (318002677004).

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

240002020240 is a wasteful number, since it uses less digits than its factorization.

240002020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000025266 (or 3000025260 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 240002020240 its reverse (42020200042), we get a palindrome (282022220282).

The spelling of 240002020240 in words is "two hundred forty billion, two million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3000025253 6000050506 12000101012 15000126265 24000202024 30000252530 48000404048 60000505060 120001010120 240002020240