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44359099456 = 267237612
BaseRepresentation
bin101001010100000000…
…100010010001000000
311020111110110201210111
4221110000202101000
51211321412140311
632213413241104
73130155060400
oct512400422100
9136443421714
1044359099456
11178a3611a81
12871b933194
13424c1c4b59
14220b4ba800
151249541d21
hexa54022440

44359099456 has 63 divisors (see below), whose sum is σ = 102423764037. Its totient is φ = 19005987840.

The previous prime is 44359099441. The next prime is 44359099487. The reversal of 44359099456 is 65499095344.

It is a happy number.

The square root of 44359099456 is 210616.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19772859456 + 24586240000 = 140616^2 + 156800^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 44359099456.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11792616 + ... + 11796376.

Almost surely, 244359099456 is an apocalyptic number.

44359099456 is the 210616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44359099456

44359099456 is an abundant number, since it is smaller than the sum of its proper divisors (58064664581).

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

44359099456 is an frugal number, since it uses more digits than its factorization.

44359099456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7548 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 58.

The spelling of 44359099456 in words is "forty-four billion, three hundred fifty-nine million, ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 3761 7522 15044 26327 30088 52654 60176 105308 120352 184289 210616 240704 368578 421232 737156 842464 1474312 1684928 2948624 5897248 11794496 14145121 28290242 56580484 99015847 113160968 198031694 226321936 396063388 452643872 693110929 792126776 905287744 1386221858 1584253552 2772443716 3168507104 5544887432 6337014208 11089774864 22179549728 44359099456