Search a number
-
+
44074722294 = 2351917832677
BaseRepresentation
bin101001000011000011…
…101110001111110110
311012202122100212200000
4221003003232033312
51210231112103134
632125254132130
73120132646431
oct510303561766
9135678325600
1044074722294
1117768039229
128660651046
134205307045
1421c1812818
15122e5bbe99
hexa430ee3f6

44074722294 has 96 divisors (see below), whose sum is σ = 104341735680. Its totient is φ = 13905330912.

The previous prime is 44074722281. The next prime is 44074722299. The reversal of 44074722294 is 49222747044.

It is a super-2 number, since 2×440747222942 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44074722299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16462884 + ... + 16465560.

It is an arithmetic number, because the mean of its divisors is an integer number (1086893080).

Almost surely, 244074722294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44074722294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52170867840).

44074722294 is an abundant number, since it is smaller than the sum of its proper divisors (60267013386).

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

44074722294 is a wasteful number, since it uses less digits than its factorization.

44074722294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 44074722294 in words is "forty-four billion, seventy-four million, seven hundred twenty-two thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1539 1783 2677 3078 3566 4617 5349 5354 8031 9234 10698 16047 16062 24093 32094 33877 48141 48186 50863 67754 72279 96282 101631 101726 144423 144558 152589 203262 216837 288846 304893 305178 433269 433674 457767 609786 650511 866538 914679 915534 1301022 1373301 1829358 2744037 2746602 4119903 4773091 5488074 8232111 8239806 9546182 12359709 14319273 16464222 24719418 28638546 42957819 85915638 90688729 128873457 181377458 257746914 272066187 386620371 544132374 773240742 816198561 1159861113 1632397122 2319722226 2448595683 4897191366 7345787049 14691574098 22037361147 44074722294