Search a number
-
+
44543354304 = 2631743331517
BaseRepresentation
bin101001011110111111…
…011010010111000000
311020222022011211221010
4221132333122113000
51212211044314204
632243554400520
73134553156501
oct513677322700
9136868154833
1044543354304
1117988620409
128771590140
13427b4285a7
142227b60ba8
15125a7dad89
hexa5efda5c0

44543354304 has 112 divisors (see below), whose sum is σ = 125079056928. Its totient is φ = 13941669888.

The previous prime is 44543354281. The next prime is 44543354309. The reversal of 44543354304 is 40345334544.

It is a super-2 number, since 2×445433543042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44543354309) 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, 1397554 + ... + 1429070.

It is an arithmetic number, because the mean of its divisors is an integer number (1116777294).

Almost surely, 244543354304 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 44543354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62539528464).

44543354304 is an abundant number, since it is smaller than the sum of its proper divisors (80535702624).

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

44543354304 is a wasteful number, since it uses less digits than its factorization.

44543354304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31982 (or 31972 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 39.

Adding to 44543354304 its reverse (40345334544), we get a palindrome (84888688848).

The spelling of 44543354304 in words is "forty-four billion, five hundred forty-three million, three hundred fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 433 544 816 866 1088 1299 1632 1732 2598 3264 3464 5196 6928 7361 10392 13856 14722 20784 22083 27712 29444 31517 41568 44166 58888 63034 83136 88332 94551 117776 126068 176664 189102 235552 252136 353328 378204 471104 504272 535789 706656 756408 1008544 1071578 1413312 1512816 1607367 2017088 2143156 3025632 3214734 4286312 6051264 6429468 8572624 12858936 13646861 17145248 25717872 27293722 34290496 40940583 51435744 54587444 81881166 102871488 109174888 163762332 218349776 231996637 327524664 436699552 463993274 655049328 695989911 873399104 927986548 1310098656 1391979822 1855973096 2620197312 2783959644 3711946192 5567919288 7423892384 11135838576 14847784768 22271677152 44543354304