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44146464144 = 24317103525253
BaseRepresentation
bin101001000111010101…
…011001010110010000
311012221122100201222120
4221013111121112100
51210402443323034
632140335534240
73121663516356
oct510725312620
9135848321876
1044146464144
11177a4589a12
12868068a380
134217135643
1421cb1697d6
151235a3dc49
hexa47559590

44146464144 has 80 divisors (see below), whose sum is σ = 121926160512. Its totient is φ = 13715380224.

The previous prime is 44146464119. The next prime is 44146464169.

44146464144 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (44146464119) and next prime (44146464169).

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

It is a junction number, because it is equal to n+sod(n) for n = 44146464096 and 44146464105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178579 + ... + 346674.

Almost surely, 244146464144 is an apocalyptic number.

It is an amenable number.

44146464144 is an abundant number, since it is smaller than the sum of its proper divisors (77779696368).

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

44146464144 is a wasteful number, since it uses less digits than its factorization.

44146464144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525384 (or 525378 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The spelling of 44146464144 in words is "forty-four billion, one hundred forty-six million, four hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 103 136 204 206 272 309 408 412 618 816 824 1236 1648 1751 2472 3502 4944 5253 7004 10506 14008 21012 28016 42024 84048 525253 1050506 1575759 2101012 3151518 4202024 6303036 8404048 8929301 12606072 17858602 25212144 26787903 35717204 53575806 54101059 71434408 107151612 108202118 142868816 162303177 214303224 216404236 324606354 428606448 432808472 649212708 865616944 919718003 1298425416 1839436006 2596850832 2759154009 3678872012 5518308018 7357744024 11036616036 14715488048 22073232072 44146464144