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43314042144 = 2531782132327
BaseRepresentation
bin101000010101101101…
…111101010100100000
311010210122000022200010
4220111231331110200
51202201343322034
631522002124520
73062235166152
oct502555752440
9133718008603
1043314042144
1117407713a4a
128489950740
134113840249
14214c7a0ad2
1511d79103e9
hexa15b7d520

43314042144 has 96 divisors (see below), whose sum is σ = 120537922176. Its totient is φ = 13571747840.

The previous prime is 43314042103. The next prime is 43314042197. The reversal of 43314042144 is 44124041334.

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

It is a super-2 number, since 2×433140421442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1323709 + ... + 1356035.

It is an arithmetic number, because the mean of its divisors is an integer number (1255603356).

Almost surely, 243314042144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43314042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60268961088).

43314042144 is an abundant number, since it is smaller than the sum of its proper divisors (77223880032).

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

43314042144 is a wasteful number, since it uses less digits than its factorization.

43314042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33178 (or 33170 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 43314042144 its reverse (44124041334), we get a palindrome (87438083478).

The spelling of 43314042144 in words is "forty-three billion, three hundred fourteen million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 821 1632 1642 2463 3284 4926 6568 9852 13136 13957 19704 26272 27914 32327 39408 41871 55828 64654 78816 83742 96981 111656 129308 167484 193962 223312 258616 334968 387924 446624 517232 549559 669936 775848 1034464 1099118 1339872 1551696 1648677 2198236 3103392 3297354 4396472 6594708 8792944 13189416 17585888 26378832 26540467 52757664 53080934 79621401 106161868 159242802 212323736 318485604 424647472 451187939 636971208 849294944 902375878 1273942416 1353563817 1804751756 2547884832 2707127634 3609503512 5414255268 7219007024 10828510536 14438014048 21657021072 43314042144