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244444424028 = 223723330138329
BaseRepresentation
bin1110001110101000000…
…1011110011101011100
3212100221202022100121020
43203222001132131130
513001110233032103
6304143552204140
723442363215160
oct3435201363534
9770852270536
10244444424028
1194739560852
123b45bb39650
131a0880b9b2c
14bb8ca4cca0
15655a21c753
hex38ea05e75c

244444424028 has 96 divisors (see below), whose sum is σ = 680416988160. Its totient is φ = 66782707200.

The previous prime is 244444424027. The next prime is 244444424089. The reversal of 244444424028 is 820424444442.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244444424027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6358368 + ... + 6396696.

It is an arithmetic number, because the mean of its divisors is an integer number (7087676960).

Almost surely, 2244444424028 is an apocalyptic number.

244444424028 is a gapful number since it is divisible by the number (28) 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 244444424028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340208494080).

244444424028 is an abundant number, since it is smaller than the sum of its proper divisors (435972564132).

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

244444424028 is a wasteful number, since it uses less digits than its factorization.

244444424028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41667 (or 41665 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 42.

The spelling of 244444424028 in words is "two hundred forty-four billion, four hundred forty-four million, four hundred twenty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 3301 6602 9903 13204 19806 23107 38329 39612 46214 69321 75923 76658 92428 114987 138642 151846 153316 227769 229974 268303 277284 303692 455538 459948 531461 536606 804909 881567 911076 1062922 1073212 1594383 1609818 1763134 2125844 2644701 3188766 3219636 3526268 5289402 6170969 6377532 10578804 12341938 18512907 24683876 37025814 74051628 126524029 253048058 379572087 506096116 759144174 885668203 1518288348 1771336406 2657004609 2910052667 3542672812 5314009218 5820105334 8730158001 10628018436 11640210668 17460316002 20370368669 34920632004 40740737338 61111106007 81481474676 122222212014 244444424028