Search a number
-
+
44005869664480 = 2554191031363649
BaseRepresentation
bin10100000000101111010100…
…01110101011100011100000
312202210220211201102120012101
422000113222032223203200
521231443010113230410
6233332003433340144
712161214321266233
oct1200275216534340
9182726751376171
1044005869664480
111302686a216519
124b28770867654
131b72974456839
14ac1c771bb41a
15514a61166d3a
hex2805ea3ab8e0

44005869664480 has 96 divisors (see below), whose sum is σ = 104223733236000. Its totient is φ = 17558358884352.

The previous prime is 44005869664469. The next prime is 44005869664489. The reversal of 44005869664480 is 8446696850044.

It is a super-2 number, since 2×440058696644802 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44005869664489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691351696 + ... + 691415344.

It is an arithmetic number, because the mean of its divisors is an integer number (1085663887875).

Almost surely, 244005869664480 is an apocalyptic number.

44005869664480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44005869664480 is an abundant number, since it is smaller than the sum of its proper divisors (60217863571520).

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

44005869664480 is a wasteful number, since it uses less digits than its factorization.

44005869664480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74396 (or 74388 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 64.

The spelling of 44005869664480 in words is "forty-four trillion, five billion, eight hundred sixty-nine million, six hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 419 838 1676 2095 3352 4190 6704 8380 10313 13408 16760 20626 33520 41252 51565 63649 67040 82504 103130 127298 165008 206260 254596 318245 330016 412520 509192 636490 825040 1018384 1272980 1650080 2036768 2545960 4321147 5091920 8642294 10183840 17284588 21605735 26668931 34569176 43211470 53337862 69138352 86422940 106675724 133344655 138276704 172845880 213351448 266689310 345691760 426702896 533378620 656412137 691383520 853405792 1066757240 1312824274 2133514480 2625648548 3282060685 4267028960 5251297096 6564121370 10502594192 13128242740 21005188384 26256485480 52512970960 105025941920 275036685403 550073370806 1100146741612 1375183427015 2200293483224 2750366854030 4400586966448 5500733708060 8801173932896 11001467416120 22002934832240 44005869664480