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444545545444 = 22711131011099261
BaseRepresentation
bin1100111100000001111…
…10101011010011100100
31120111110010212112121021
412132000332223103210
524240412124423234
6540115453500524
744055152534620
oct6360076532344
91514403775537
10444545545444
11161592409a70
12721a54a1744
1332bc7353060
1417732334180
15b86c4b89b4
hex6780fab4e4

444545545444 has 96 divisors (see below), whose sum is σ = 1054869403392. Its totient is φ = 158293440000.

The previous prime is 444545545403. The next prime is 444545545463.

444545545444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 444545545391 and 444545545400.

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, 145227 + ... + 954034.

It is an arithmetic number, because the mean of its divisors is an integer number (10988222952).

Almost surely, 2444545545444 is an apocalyptic number.

444545545444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444545545444 is an abundant number, since it is smaller than the sum of its proper divisors (610323857948).

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

444545545444 is a wasteful number, since it uses less digits than its factorization.

444545545444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099397 (or 1099395 counting only the distinct ones).

The product of its digits is 40960000, while the sum is 52.

It can be divided in two parts, 444545 and 545444, that added together give a palindrome (989989).

The spelling of 444545545444 in words is "four hundred forty-four billion, five hundred forty-five million, five hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 101 143 154 182 202 286 308 364 404 572 707 1001 1111 1313 1414 2002 2222 2626 2828 4004 4444 5252 7777 9191 14443 15554 18382 28886 31108 36764 57772 101101 202202 404404 1099261 2198522 4397044 7694827 12091871 14290393 15389654 24183742 28580786 30779308 48367484 57161572 84643097 100032751 111025361 157194323 169286194 200065502 222050722 314388646 338572388 400131004 444101444 628777292 777177527 1100360261 1221278971 1443329693 1554355054 2200720522 2442557942 2886659386 3108710108 4401441044 4885115884 5773318772 8548952797 10103307851 15876626623 17097905594 20206615702 31753253246 34195811188 40413231404 63506506492 111136386361 222272772722 444545545444