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44443166134444 = 227111915773481489
BaseRepresentation
bin10100001101011101110110…
…01000010101000010101100
312211100201120122212220200121
422012232323020111002230
521311124101012300234
6234304524134334324
712234625042043260
oct1206567310250254
9184321518786617
1044443166134444
1113185271719810
124b994724ba3a4
131ba4c849c5ccc
14ad90bc87a0a0
155211070164b4
hex286bbb2150ac

44443166134444 has 96 divisors (see below), whose sum is σ = 102077112614400. Its totient is φ = 16403102069760.

The previous prime is 44443166134391. The next prime is 44443166134457.

44443166134444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44443166134391 and 44443166134400.

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, 92062852 + ... + 92544340.

It is an arithmetic number, because the mean of its divisors is an integer number (1063303256400).

Almost surely, 244443166134444 is an apocalyptic number.

44443166134444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44443166134444 is an abundant number, since it is smaller than the sum of its proper divisors (57633946479956).

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

44443166134444 is a wasteful number, since it uses less digits than its factorization.

44443166134444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497303 (or 497301 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 52.

The spelling of 44443166134444 in words is "forty-four trillion, four hundred forty-three billion, one hundred sixty-six million, one hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 836 1463 2926 5852 15773 31546 63092 110411 173503 220822 299687 347006 441644 481489 599374 694012 962978 1198748 1214521 1925956 2097809 2429042 3296557 3370423 4195618 4858084 5296379 6593114 6740846 8391236 9148291 10592758 13186228 13481692 18296582 21185516 23075899 36593164 37074653 46151798 64038037 74149306 92303596 100631201 128076074 148298612 201262402 256152148 402524804 704418407 1408836814 2817673628 7594525997 15189051994 30378103988 53161681979 83539785967 106323363958 144295993943 167079571934 212646727916 288591987886 334159143868 577183975772 584778501769 1010071957601 1169557003538 1587255933373 2020143915202 2339114007076 3174511866746 4040287830404 6349023733492 11110791533611 22221583067222 44443166134444