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444535535444 = 2271113432581927
BaseRepresentation
bin1100111100000000110…
…00011111011101010100
31120111102110000222110112
412132000120133131110
524240402044113234
6540114455142152
744055001464140
oct6360030373524
91514373028415
10444535535444
111615877a2340
12721a2074958
1332bc5259a90
1417730c8a220
15b86b68cace
hex678061f754

444535535444 has 96 divisors (see below), whose sum is σ = 1068794259456. Its totient is φ = 156154884480.

The previous prime is 444535535441. The next prime is 444535535467.

444535535444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4445355354442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444535535392 and 444535535401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444535535441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1118792 + ... + 1463135.

It is an arithmetic number, because the mean of its divisors is an integer number (11133273536).

Almost surely, 2444535535444 is an apocalyptic number.

444535535444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444535535444 is an abundant number, since it is smaller than the sum of its proper divisors (624258724012).

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

444535535444 is a wasteful number, since it uses less digits than its factorization.

444535535444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582005 (or 2582003 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 50.

It can be divided in two parts, 444535 and 535444, that added together give a palindrome (979979).

The spelling of 444535535444 in words is "four hundred forty-four billion, five hundred thirty-five million, five hundred thirty-five thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 43 44 52 77 86 91 143 154 172 182 286 301 308 364 473 559 572 602 946 1001 1118 1204 1892 2002 2236 3311 3913 4004 6149 6622 7826 12298 13244 15652 24596 43043 86086 172172 2581927 5163854 10327708 18073489 28401197 33565051 36146978 56802394 67130102 72293956 111022861 113604788 134260204 198808379 222045722 234955357 369215561 397616758 444091444 469910714 738431122 777160027 795233516 939821428 1221251471 1443297193 1476862244 1554320054 2442502942 2584508927 2886594386 3108640108 4885005884 5169017854 5773188772 8548760297 10103080351 10338035708 15876269123 17097520594 20206160702 31752538246 34195041188 40412321404 63505076492 111133883861 222267767722 444535535444