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244112442420 = 2235721153142421
BaseRepresentation
bin1110001101011000111…
…1000100010000110100
3212100002121121221110010
43203112033010100310
512444420241124140
6304051012500220
723431222344600
oct3432617042064
9770077557403
10244112442420
1194589123090
123b38891a670
131a0343a2102
14bb5a912500
15653aee2880
hex38d63c4434

244112442420 has 288 divisors, whose sum is σ = 883763830656. Its totient is φ = 49767244800.

The previous prime is 244112442407. The next prime is 244112442421. The reversal of 244112442420 is 24244211442.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244112442421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1642810 + ... + 1785230.

It is an arithmetic number, because the mean of its divisors is an integer number (3068624412).

Almost surely, 2244112442420 is an apocalyptic number.

244112442420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244112442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441881915328).

244112442420 is an abundant number, since it is smaller than the sum of its proper divisors (639651388236).

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

244112442420 is a wasteful number, since it uses less digits than its factorization.

244112442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142511 (or 142502 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 244112442420 its reverse (24244211442), we get a palindrome (268356653862).

The spelling of 244112442420 in words is "two hundred forty-four billion, one hundred twelve million, four hundred forty-two thousand, four hundred twenty".