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445334141433544 = 23112659698112187
BaseRepresentation
bin110010101000001110110111…
…1010011100111011011001000
32011101210112021000100210210021
41211100131233103213123020
5431332323310201333134
64215051402534230224
7162542221114050046
oct14520355723473310
92141715230323707
10445334141433544
11119996170002900
1241b448a6ab5374
1316164aa20b184c
147bd8404aa5396
15367426a2160b4
hex195076f4e76c8

445334141433544 has 48 divisors (see below), whose sum is σ = 919204317939600. Its totient is φ = 202117440090720.

The previous prime is 445334141433499. The next prime is 445334141433557.

445334141433544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 445334141433491 and 445334141433500.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 348418182 + ... + 349694005.

It is an arithmetic number, because the mean of its divisors is an integer number (19150089957075).

Almost surely, 2445334141433544 is an apocalyptic number.

445334141433544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

445334141433544 is an abundant number, since it is smaller than the sum of its proper divisors (473870176506056).

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

445334141433544 is a wasteful number, since it uses less digits than its factorization.

445334141433544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698112874 (or 698112859 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 52.

The spelling of 445334141433544 in words is "four hundred forty-five trillion, three hundred thirty-four billion, one hundred forty-one million, four hundred thirty-three thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 659 968 1318 2636 5272 7249 14498 28996 57992 79739 159478 318956 637912 698112187 1396224374 2792448748 5584897496 7679234057 15358468114 30716936228 61433872456 84471574627 168943149254 337886298508 460055931233 675772597016 920111862466 1840223724932 3680447449864 5060615243563 10121230487126 20242460974252 40484921948504 55666767679193 111333535358386 222667070716772 445334141433544