Search a number
-
+
44342020016 = 2472891813511
BaseRepresentation
bin101001010010111111…
…011000011110110000
311020110021100000012122
4221102333120132300
51211303024120031
632212003213412
73126556644200
oct512277303660
9136407300178
1044342020016
1117894a06a38
128716077268
1342487c4b88
142209112400
151247cbb47b
hexa52fd87b0

44342020016 has 120 divisors (see below), whose sum is σ = 101649431520. Its totient is φ = 18681062400.

The previous prime is 44342019977. The next prime is 44342020049. The reversal of 44342020016 is 61002024344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12627701 + ... + 12631211.

It is an arithmetic number, because the mean of its divisors is an integer number (847078596).

Almost surely, 244342020016 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 44342020016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50824715760).

44342020016 is an abundant number, since it is smaller than the sum of its proper divisors (57307411504).

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

44342020016 is a wasteful number, since it uses less digits than its factorization.

44342020016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The spelling of 44342020016 in words is "forty-four billion, three hundred forty-two million, twenty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 89 98 112 178 181 196 356 362 392 623 712 724 784 1246 1267 1424 1448 2492 2534 2896 3511 4361 4984 5068 7022 8722 8869 9968 10136 14044 16109 17444 17738 20272 24577 28088 32218 34888 35476 49154 56176 64436 69776 70952 98308 112763 128872 141904 172039 196616 225526 257744 312479 344078 393232 451052 624958 635491 688156 789341 902104 1249916 1270982 1376312 1578682 1804208 2187353 2499832 2541964 2752624 3157364 4374706 4448437 4999664 5083928 6314728 8749412 8896874 10167856 12629456 15311471 17498824 17793748 30622942 31139059 34997648 35587496 56558699 61245884 62278118 71174992 113117398 122491768 124556236 226234796 244983536 249112472 395910893 452469592 498224944 791821786 904939184 1583643572 2771376251 3167287144 5542752502 6334574288 11085505004 22171010008 44342020016