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44343533534344 = 231131233190736583
BaseRepresentation
bin10100001010100100010001…
…00100000111110010001000
312211000012102002120102100121
422011102020210013302020
521303011024041044334
6234151045454113024
712224500045651432
oct1205221044076210
9184005362512317
1044343533534344
1113146a947126a0
124b820a77ab774
131b98767352575
14ad434a535652
1551d7251a0db4
hex285488907c88

44343533534344 has 128 divisors (see below), whose sum is σ = 94082294292480. Its totient is φ = 19411521292800.

The previous prime is 44343533534341. The next prime is 44343533534381.

44343533534344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×443435335343442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44343533534291 and 44343533534300.

It is not an unprimeable number, because it can be changed into a prime (44343533534341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1212116677 + ... + 1212153259.

It is an arithmetic number, because the mean of its divisors is an integer number (735017924160).

Almost surely, 244343533534344 is an apocalyptic number.

44343533534344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44343533534344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47041147146240).

44343533534344 is an abundant number, since it is smaller than the sum of its proper divisors (49738760758136).

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

44343533534344 is a wasteful number, since it uses less digits than its factorization.

44343533534344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38771 (or 38767 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 52.

It can be divided in two parts, 4434353 and 3534344, that added together give a palindrome (7968697).

The spelling of 44343533534344 in words is "forty-four trillion, three hundred forty-three billion, five hundred thirty-three million, five hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 233 248 341 466 682 932 1364 1864 1907 2563 2728 3814 5126 7223 7628 10252 14446 15256 20504 20977 28892 36583 41954 57784 59117 73166 79453 83908 118234 146332 158906 167816 236468 292664 317812 402413 444331 472936 635624 650287 804826 888662 1134073 1300574 1609652 1777324 2268146 2601148 3219304 3554648 4536292 4887641 5202296 8523839 9072584 9775282 12474803 13774261 17047678 19550564 24949606 27548522 34095356 39101128 49899212 55097044 68190712 69763781 93762229 99798424 110194088 139527562 151516871 187524458 264239009 279055124 303033742 375048916 528478018 558110248 606067484 750097832 767401591 1056956036 1212134968 1534803182 2113912072 2162677211 2906629099 3069606364 4325354422 5813258198 6139212728 8650708844 11626516396 16254960973 17301417688 23253032792 23789449321 32509921946 47578898642 65019843892 95157797284 130039687784 178804570703 190315594568 357609141406 503903790163 715218282812 1007807580326 1430436565624 2015615160652 4031230321304 5542941691793 11085883383586 22171766767172 44343533534344