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44213231244 = 223713347116681
BaseRepresentation
bin101001001011010100…
…000101111010001100
311020010021222212020010
4221023110011322030
51211022041344434
632151122553220
73123434156550
oct511324057214
9136107885203
1044213231244
1117829242036
12869ab08810
134227c117c0
1421d5d89860
15123b82b9e9
hexa4b505e8c

44213231244 has 96 divisors (see below), whose sum is σ = 127338333696. Its totient is φ = 11626928640.

The previous prime is 44213231203. The next prime is 44213231261.

44213231244 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320584 + ... + 437264.

It is an arithmetic number, because the mean of its divisors is an integer number (1326440976).

Almost surely, 244213231244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44213231244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63669166848).

44213231244 is an abundant number, since it is smaller than the sum of its proper divisors (83125102452).

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

44213231244 is a wasteful number, since it uses less digits than its factorization.

44213231244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117055 (or 117053 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The spelling of 44213231244 in words is "forty-four billion, two hundred thirteen million, two hundred thirty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 347 364 546 694 1041 1092 1388 2082 2429 4164 4511 4858 7287 9022 9716 13533 14574 18044 27066 29148 31577 54132 63154 94731 116681 126308 189462 233362 350043 378924 466724 700086 816767 1400172 1516853 1633534 2450301 3033706 3267068 4550559 4900602 6067412 9101118 9801204 10617971 18202236 21235942 31853913 40488307 42471884 63707826 80976614 121464921 127415652 161953228 242929842 283418149 485859684 526347991 566836298 850254447 1052695982 1133672596 1579043973 1700508894 2105391964 3158087946 3401017788 3684435937 6316175892 7368871874 11053307811 14737743748 22106615622 44213231244