Search a number
-
+
44243684284416 = 211322931445941
BaseRepresentation
bin10100000111101010010010…
…00101011101100000000000
312210122122200102120222022220
422003311021011131200000
521244342031134100131
6234033133514131040
712214333512225501
oct1203651105354000
9183578612528286
1044243684284416
1113108706391331
124b66880420a80
131b8c213b45266
14acd597516ba8
1551ad2e2e2e96
hex283d4915d800

44243684284416 has 96 divisors (see below), whose sum is σ = 118469441890800. Its totient is φ = 14683493007360.

The previous prime is 44243684284351. The next prime is 44243684284439. The reversal of 44243684284416 is 61448248634244.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×442436842844162 (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 44243684284416.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14315995 + ... + 17129946.

Almost surely, 244243684284416 is an apocalyptic number.

It is an amenable number.

44243684284416 is an abundant number, since it is smaller than the sum of its proper divisors (74225757606384).

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

44243684284416 is a wasteful number, since it uses less digits than its factorization.

44243684284416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31446195 (or 31446175 counting only the distinct ones).

The product of its digits is 113246208, while the sum is 60.

The spelling of 44243684284416 in words is "forty-four trillion, two hundred forty-three billion, six hundred eighty-four million, two hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 229 256 384 458 512 687 768 916 1024 1374 1536 1832 2048 2748 3072 3664 5496 6144 7328 10992 14656 21984 29312 43968 58624 87936 117248 175872 234496 351744 468992 703488 1406976 31445941 62891882 94337823 125783764 188675646 251567528 377351292 503135056 754702584 1006270112 1509405168 2012540224 3018810336 4025080448 6037620672 7201120489 8050160896 12075241344 14402240978 16100321792 21603361467 24150482688 28804481956 32200643584 43206722934 48300965376 57608963912 64401287168 86413445868 96601930752 115217927824 172826891736 193203861504 230435855648 345653783472 460871711296 691307566944 921743422592 1382615133888 1843486845184 2765230267776 3686973690368 5530460535552 7373947380736 11060921071104 14747894761472 22121842142208 44243684284416