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4303242024444 = 22321114974179833
BaseRepresentation
bin111110100111101101001…
…101100101010111111100
3120020101102100001122010200
4332213231031211113330
51031001014424240234
613052514311003500
7622620230454666
oct76475515452774
916211370048120
104303242024444
111409aa3a34910
12595bb7069590
13252a424bacac
1410c3c6c89536
1576e0d0b8d99
hex3e9ed3655fc

4303242024444 has 144 divisors (see below), whose sum is σ = 11948982645600. Its totient is φ = 1294954629120.

The previous prime is 4303242024401. The next prime is 4303242024457. The reversal of 4303242024444 is 4444202423034.

4303242024444 is a `hidden beast` number, since 4 + 3 + 0 + 3 + 2 + 4 + 202 + 4 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4303242024399 and 4303242024408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437627752 + ... + 437637584.

It is an arithmetic number, because the mean of its divisors is an integer number (82979046150).

Almost surely, 24303242024444 is an apocalyptic number.

4303242024444 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 4303242024444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5974491322800).

4303242024444 is an abundant number, since it is smaller than the sum of its proper divisors (7645740621156).

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

4303242024444 is a wasteful number, since it uses less digits than its factorization.

4303242024444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17420 (or 17415 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 4303242024444 its reverse (4444202423034), we get a palindrome (8747444447478).

The spelling of 4303242024444 in words is "four trillion, three hundred three billion, two hundred forty-two million, twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 149 198 298 396 447 596 894 1341 1639 1788 2682 3278 4917 5364 6556 7417 9833 9834 14751 14834 19666 19668 22251 29499 29502 29668 39332 44502 58998 59004 66753 81587 88497 89004 108163 117996 133506 163174 176994 216326 244761 267012 324489 326348 353988 432652 489522 648978 734283 973467 979044 1105133 1297956 1465117 1468566 1946934 2210266 2930234 2937132 3315399 3893868 4395351 4420532 5860468 6630798 8790702 9946197 12156463 13186053 13261596 16116287 17581404 19892394 24312926 26372106 32232574 36469389 39784788 48348861 48625852 52744212 64465148 72931361 72938778 96697722 109408167 145046583 145862722 145877556 193395444 218794083 218816334 290093166 291725444 437588166 437632668 580186332 656382249 802244971 875176332 1312764498 1604489942 2406734913 2625528996 3208979884 4813469826 7220204739 9626939652 10866772789 14440409478 21733545578 28880818956 32600318367 43467091156 65200636734 97800955101 119534500679 130401273468 195601910202 239069001358 358603502037 391203820404 478138002716 717207004074 1075810506111 1434414008148 2151621012222 4303242024444