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44335014240 = 2535118396783
BaseRepresentation
bin101001010010100100…
…101010000101100000
311020102210011002002110
4221102210222011200
51211244230423430
632211153115320
73126443255166
oct512244520540
9136383132073
1044335014240
1117890a61440
128713858b40
13424721114a
14220820b236
1512473857b0
hexa5292a160

44335014240 has 96 divisors (see below), whose sum is σ = 152351248896. Its totient is φ = 10747880960.

The previous prime is 44335014179. The next prime is 44335014253. The reversal of 44335014240 is 4241053344.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×443350142402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44335014198 and 44335014207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4193112 + ... + 4203671.

It is an arithmetic number, because the mean of its divisors is an integer number (1586992176).

Almost surely, 244335014240 is an apocalyptic number.

44335014240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44335014240 is an abundant number, since it is smaller than the sum of its proper divisors (108016234656).

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

44335014240 is a wasteful number, since it uses less digits than its factorization.

44335014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8396812 (or 8396804 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 44335014240 its reverse (4241053344), we get a palindrome (48576067584).

The spelling of 44335014240 in words is "forty-four billion, three hundred thirty-five million, fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 8396783 16793566 25190349 33587132 41983915 50380698 67174264 83967830 92364613 100761396 125951745 134348528 167935660 184729226 201522792 251903490 268697056 277093839 335871320 369458452 403045584 461823065 503806980 554187678 671742640 738916904 806091168 923646130 1007613960 1108375356 1343485280 1385469195 1477833808 1847292260 2015227920 2216750712 2770938390 2955667616 3694584520 4030455840 4433501424 5541876780 7389169040 8867002848 11083753560 14778338080 22167507120 44335014240