Search a number
-
+
44324842344 = 23331374734259
BaseRepresentation
bin101001010001111101…
…110110101101101000
311020102002000021212120
4221101331312231220
51211234124423334
632210151111240
73126260641416
oct512175665550
9136362007776
1044324842344
1117886244112
128710372520
13424508c283
142206b202b6
151246526949
hexa51f76b68

44324842344 has 128 divisors (see below), whose sum is σ = 119981260800. Its totient is φ = 13615499520.

The previous prime is 44324842327. The next prime is 44324842351.

44324842344 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44324842296 and 44324842305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1276687 + ... + 1310945.

It is an arithmetic number, because the mean of its divisors is an integer number (937353600).

Almost surely, 244324842344 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 44324842344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59990630400).

44324842344 is an abundant number, since it is smaller than the sum of its proper divisors (75656418456).

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

44324842344 is a wasteful number, since it uses less digits than its factorization.

44324842344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34383 (or 34379 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 42.

The spelling of 44324842344 in words is "forty-four billion, three hundred twenty-four million, eight hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 37 47 62 74 93 94 111 124 141 148 186 188 222 248 282 296 372 376 444 564 744 888 1128 1147 1457 1739 2294 2914 3441 3478 4371 4588 5217 5828 6882 6956 8742 9176 10434 11656 13764 13912 17484 20868 27528 34259 34968 41736 53909 68518 102777 107818 137036 161727 205554 215636 274072 323454 411108 431272 646908 822216 1062029 1267583 1293816 1610173 2124058 2535166 3186087 3220346 3802749 4248116 4830519 5070332 6372174 6440692 7605498 8496232 9661038 10140664 12744348 12881384 15210996 19322076 25488696 30421992 38644152 39295073 49915363 59576401 78590146 99830726 117885219 119152802 149746089 157180292 178729203 199661452 235770438 238305604 299492178 314360584 357458406 399322904 471540876 476611208 598984356 714916812 943081752 1197968712 1429833624 1846868431 3693736862 5540605293 7387473724 11081210586 14774947448 22162421172 44324842344