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21420142414420 = 22528116273234217
BaseRepresentation
bin1001101111011010000111…
…11110101100101001010100
32210211202010112221222020111
410313231003332230221110
510301421422424230140
6113320135542412404
74340361045253141
oct467550376545124
983752115858214
1021420142414420
11690925aa75412
12249b44a431104
13bc4babc39809
14540a51a213c8
152722c14e37ea
hex137b43faca54

21420142414420 has 48 divisors (see below), whose sum is σ = 45145345241808. Its totient is φ = 8537004564480.

The previous prime is 21420142414417. The next prime is 21420142414427. The reversal of 21420142414420 is 2441424102412.

It can be written as a sum of positive squares in 8 ways, for example, as 1102369803844 + 20317772610576 = 1049938^2 + 4507524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21420142414427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91337152 + ... + 91571368.

It is an arithmetic number, because the mean of its divisors is an integer number (940528025871).

Almost surely, 221420142414420 is an apocalyptic number.

21420142414420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21420142414420 is an abundant number, since it is smaller than the sum of its proper divisors (23725202827388).

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

21420142414420 is a wasteful number, since it uses less digits than its factorization.

21420142414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250780 (or 250778 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 21420142414420 its reverse (2441424102412), we get a palindrome (23861566516832).

The spelling of 21420142414420 in words is "twenty-one trillion, four hundred twenty billion, one hundred forty-two million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 281 562 1124 1405 2810 5620 16273 32546 65092 81365 162730 234217 325460 468434 936868 1171085 2342170 4572713 4684340 9145426 18290852 22863565 45727130 65814977 91454260 131629954 263259908 329074885 658149770 1316299540 3811413241 7622826482 15245652964 19057066205 38114132410 76228264820 1071007120721 2142014241442 4284028482884 5355035603605 10710071207210 21420142414420