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44240220066 = 23724712592543
BaseRepresentation
bin101001001100111011…
…000010111110100010
311020012011210000221010
4221030323002332202
51211100444020231
632153525241350
73124212444300
oct511473027642
9136164700833
1044240220066
11178424a6149
1286a7b63256
1342306a1013
1421d97b3270
15123ddad546
hexa4cec2fa2

44240220066 has 96 divisors (see below), whose sum is σ = 105241006080. Its totient is φ = 12356438304.

The previous prime is 44240220053. The next prime is 44240220191. The reversal of 44240220066 is 66002204244.

44240220066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17395591 + ... + 17398133.

It is an arithmetic number, because the mean of its divisors is an integer number (1096260480).

Almost surely, 244240220066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44240220066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52620503040).

44240220066 is an abundant number, since it is smaller than the sum of its proper divisors (61000786014).

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

44240220066 is a wasteful number, since it uses less digits than its factorization.

44240220066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 44240220066 in words is "forty-four billion, two hundred forty million, two hundred twenty thousand, sixty-six".

Divisors: 1 2 3 6 7 14 21 42 47 49 94 98 141 147 282 294 329 658 987 1259 1974 2303 2518 2543 3777 4606 5086 6909 7554 7629 8813 13818 15258 17626 17801 26439 35602 52878 53403 59173 61691 106806 118346 119521 123382 124607 177519 185073 239042 249214 355038 358563 370146 373821 414211 717126 747642 828422 836647 1242633 1673294 2485266 2509941 2899477 3201637 5019882 5798954 5856529 6403274 8698431 9604911 11713058 17396862 17569587 19209822 22411459 35139174 44822918 67234377 134468754 150476939 156880213 300953878 313760426 451430817 470640639 902861634 941281278 1053338573 2106677146 3160015719 6320031438 7373370011 14746740022 22120110033 44240220066