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43111040144 = 2441241389701
BaseRepresentation
bin101000001001100111…
…100100010010010000
311010021111000202021112
4220021213210102100
51201242411241034
631445511112452
73054221536454
oct501147442220
9133244022245
1043111040144
11173130705a7
128431972728
1340b0774713
14212d83a664
1511c4bb17ce
hexa099e4490

43111040144 has 80 divisors (see below), whose sum is σ = 86263697520. Its totient is φ = 20858880000.

The previous prime is 43111040117. The next prime is 43111040149. The reversal of 43111040144 is 44104011134.

It can be written as a sum of positive squares in 8 ways, for example, as 319980544 + 42791059600 = 17888^2 + 206860^2 .

It is not an unprimeable number, because it can be changed into a prime (43111040149) by changing a digit.

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, 61498994 + ... + 61499694.

It is an arithmetic number, because the mean of its divisors is an integer number (1078296219).

Almost surely, 243111040144 is an apocalyptic number.

It is an amenable number.

43111040144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

43111040144 is a wasteful number, since it uses less digits than its factorization.

43111040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 43111040144 its reverse (44104011134), we get a palindrome (87215051278).

The spelling of 43111040144 in words is "forty-three billion, one hundred eleven million, forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 41 82 164 241 328 389 482 656 701 778 964 1402 1556 1928 2804 3112 3856 5608 6224 9881 11216 15949 19762 28741 31898 39524 57482 63796 79048 93749 114964 127592 158096 168941 187498 229928 255184 272689 337882 374996 459856 545378 675764 749992 1090756 1351528 1499984 2181512 2703056 3843709 4363024 6926581 7687418 11180249 13853162 15374836 22360498 27706324 30749672 44720996 55412648 61499344 65718049 89441992 110825296 131436098 178883984 262872196 525744392 1051488784 2694440009 5388880018 10777760036 21555520072 43111040144