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43402243144 = 23135372710831
BaseRepresentation
bin101000011010111110…
…011010110001001000
311011000202222101200211
4220122332122301020
51202341433240034
631534432410504
73064355660011
oct503276326110
9134022871624
1043402243144
1117452486737
1284b33a6a34
134128bb23a0
14215a3a0008
1511e0533d64
hexa1af9ac48

43402243144 has 64 divisors (see below), whose sum is σ = 89423792640. Its totient is φ = 19624999680.

The previous prime is 43402243141. The next prime is 43402243243. The reversal of 43402243144 is 44134220434.

It is not an unprimeable number, because it can be changed into a prime (43402243141) by changing a digit.

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, 4001809 + ... + 4012639.

It is an arithmetic number, because the mean of its divisors is an integer number (1397246760).

Almost surely, 243402243144 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 43402243144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44711896320).

43402243144 is an abundant number, since it is smaller than the sum of its proper divisors (46021549496).

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

43402243144 is a wasteful number, since it uses less digits than its factorization.

43402243144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11630 (or 11626 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 43402243144 its reverse (44134220434), we get a palindrome (87536463578).

The spelling of 43402243144 in words is "forty-three billion, four hundred two million, two hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 424 689 727 1378 1454 2756 2908 5512 5816 9451 10831 18902 21662 37804 38531 43324 75608 77062 86648 140803 154124 281606 308248 500903 563212 574043 1001806 1126424 1148086 2003612 2296172 4007224 4592344 7462559 7874137 14925118 15748274 29850236 31496548 59700472 62993096 102363781 204727562 409455124 417329261 818910248 834658522 1669317044 3338634088 5425280393 10850560786 21701121572 43402243144