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44355455344 = 2417353659701
BaseRepresentation
bin101001010011110010…
…101000100101110000
311020111012121121000101
4221103302220211300
51211314444032334
632213203202144
73130112102224
oct512362504560
9136435547011
1044355455344
11178a1553112
12871a676354
13424b51a285
14220ac0c784
151249072214
hexa53ca8970

44355455344 has 80 divisors (see below), whose sum is σ = 91520526240. Its totient is φ = 20752793600.

The previous prime is 44355455303. The next prime is 44355455359.

44355455344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44355455294 and 44355455303.

It is a congruent number.

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, 63274194 + ... + 63274894.

It is an arithmetic number, because the mean of its divisors is an integer number (1144006578).

Almost surely, 244355455344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44355455344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45760263120).

44355455344 is an abundant number, since it is smaller than the sum of its proper divisors (47165070896).

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

44355455344 is a wasteful number, since it uses less digits than its factorization.

44355455344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1732 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 46.

The spelling of 44355455344 in words is "forty-four billion, three hundred fifty-five million, four hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 353 659 701 706 1318 1402 1412 2636 2804 2824 5272 5608 5648 6001 10544 11203 11216 11917 12002 22406 23834 24004 44812 47668 48008 89624 95336 96016 179248 190672 232627 247453 461959 465254 494906 923918 930508 989812 1847836 1861016 1979624 3695672 3722032 3954659 3959248 4206701 7391344 7853303 7909318 8413402 15706606 15818636 16826804 31413212 31637272 33653608 62826424 63274544 67307216 125652848 163071527 326143054 652286108 1304572216 2609144432 2772215959 5544431918 11088863836 22177727672 44355455344