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3420214404240 = 243589003160117
BaseRepresentation
bin110001110001010100101…
…010100010010010010000
3110002222011121210210000110
4301301110222202102100
5422014044341413430
611135120320321320
7502050046521204
oct61612452422220
913088147723013
103420214404240
1110a9560959187
12472a3aa73240
131ba6a90a458a
14bb779a32b04
155de7ab0a7b0
hex31c54aa2490

3420214404240 has 80 divisors (see below), whose sum is σ = 10602849999168. Its totient is φ = 912041230848.

The previous prime is 3420214404239. The next prime is 3420214404259. The reversal of 3420214404240 is 424044120243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3420214404198 and 3420214404207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21280662 + ... + 21440778.

Almost surely, 23420214404240 is an apocalyptic number.

3420214404240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3420214404240 is an abundant number, since it is smaller than the sum of its proper divisors (7182635594928).

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

3420214404240 is a wasteful number, since it uses less digits than its factorization.

3420214404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249136 (or 249130 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 3420214404240 its reverse (424044120243), we get a palindrome (3844258524483).

The spelling of 3420214404240 in words is "three trillion, four hundred twenty billion, two hundred fourteen million, four hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 89003 160117 178006 267009 320234 356012 445015 480351 534018 640468 712024 800585 890030 960702 1068036 1280936 1335045 1424048 1601170 1780060 1921404 2136072 2401755 2561872 2670090 3202340 3560120 3842808 4272144 4803510 5340180 6404680 7120240 7685616 9607020 10680360 12809360 19214040 21360720 38428080 14250893351 28501786702 42752680053 57003573404 71254466755 85505360106 114007146808 142508933510 171010720212 213763400265 228014293616 285017867020 342021440424 427526800530 570035734040 684042880848 855053601060 1140071468080 1710107202120 3420214404240