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3413440202240 = 2952945978451
BaseRepresentation
bin110001101011000000111…
…001000000011000000000
3110002022200111221122212002
4301223000321000120000
5421411211142432430
611132040205523132
7501420141664145
oct61530071003000
913068614848762
103413440202240
1110a66a5007a32
1247166a2734a8
131b9b697b9123
14bb2d60923cc
155dbd1044845
hex31ac0e40600

3413440202240 has 80 divisors (see below), whose sum is σ = 8466472151280. Its totient is φ = 1318294118400.

The previous prime is 3413440202213. The next prime is 3413440202243. The reversal of 3413440202240 is 422020443143.

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 (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413440202243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22914986 + ... + 23063465.

It is an arithmetic number, because the mean of its divisors is an integer number (105830901891).

Almost surely, 23413440202240 is an apocalyptic number.

It is an amenable number.

3413440202240 is an abundant number, since it is smaller than the sum of its proper divisors (5053031949040).

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

3413440202240 is an equidigital number, since it uses as much as digits as its factorization.

3413440202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45978503 (or 45978487 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 3413440202240 its reverse (422020443143), we get a palindrome (3835460645383).

The spelling of 3413440202240 in words is "three trillion, four hundred thirteen billion, four hundred forty million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 928 1160 1280 1856 2320 2560 3712 4640 7424 9280 14848 18560 37120 74240 45978451 91956902 183913804 229892255 367827608 459784510 735655216 919569020 1333375079 1471310432 1839138040 2666750158 2942620864 3678276080 5333500316 5885241728 6666875395 7356552160 10667000632 11770483456 13333750790 14713104320 21334001264 23540966912 26667501580 29426208640 42668002528 53335003160 58852417280 85336005056 106670006320 117704834560 170672010112 213340012640 341344020224 426680025280 682688040448 853360050560 1706720101120 3413440202240