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44143783028416 = 2643137329935491
BaseRepresentation
bin10100000100110000001101…
…00000011010011011000000
312210022002211010202100101101
422002120012200122123000
521241222431423402131
6233515212435344144
712204166044451411
oct1202300640323300
9183262733670341
1044143783028416
111307a30076a045
124b4b43b752054
131b82982929726
14ac87db63b808
15518433ab0c61
hex28260681a6c0

44143783028416 has 112 divisors (see below), whose sum is σ = 90319161398400. Its totient is φ = 21394139719680.

The previous prime is 44143783028383. The next prime is 44143783028419. The reversal of 44143783028416 is 61482038734144.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (44143783028419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1243784431 + ... + 1243819921.

Almost surely, 244143783028416 is an apocalyptic number.

44143783028416 is the 3551410-th centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44143783028416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45159580699200).

44143783028416 is an abundant number, since it is smaller than the sum of its proper divisors (46175378369984).

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

44143783028416 is a wasteful number, since it uses less digits than its factorization.

44143783028416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38982 (or 38972 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 55.

The spelling of 44143783028416 in words is "forty-four trillion, one hundred forty-three billion, seven hundred eighty-three million, twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 43 64 86 137 172 274 344 548 688 1096 1376 2192 2752 3299 4384 5891 6598 8768 11782 13196 23564 26392 35491 47128 52784 70982 94256 105568 141857 141964 188512 211136 283714 283928 377024 451963 567428 567856 903926 1134856 1135712 1526113 1807852 2269712 2271424 3052226 3615704 4539424 4862267 6104452 7231408 9078848 9724534 12208904 14462816 19434409 19449068 24417808 28925632 38868818 38898136 48835616 77737636 77796272 97671232 117084809 155475272 155592544 209077481 234169618 310950544 311185088 418154962 468339236 621901088 836309924 936678472 1243802176 1672619848 1873356944 3345239696 3746713888 5034646787 6690479392 7493427776 10069293574 13380958784 16040618833 20138587148 32081237666 40277174296 64162475332 80554348592 128324950664 161108697184 256649901328 322217394368 513299802656 689746609819 1026599605312 1379493219638 2758986439276 5517972878552 11035945757104 22071891514208 44143783028416