Search a number
-
+
43118103040 = 29525765537
BaseRepresentation
bin101000001010000010…
…100000101000000000
311010021222022120202021
4220022002200220000
51201301213244130
631450322331224
73054335554135
oct501202405000
9133258276667
1043118103040
1117317055001
1284341b9b14
1340b207844c
14213075858c
1511c560937a
hexa0a0a0a00

43118103040 has 80 divisors (see below), whose sum is σ = 103786238952. Its totient is φ = 17179869184.

The previous prime is 43118102999. The next prime is 43118103053. The reversal of 43118103040 is 4030181134.

It can be written as a sum of positive squares in 4 ways, for example, as 40365631744 + 2752471296 = 200912^2 + 52464^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 43118102996 and 43118103014.

It is an unprimeable number.

In principle, a polygon with 43118103040 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 625152 + ... + 690688.

Almost surely, 243118103040 is an apocalyptic number.

43118103040 is a gapful number since it is divisible by the number (40) 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 43118103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51893119476).

43118103040 is an abundant number, since it is smaller than the sum of its proper divisors (60668135912).

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

43118103040 is an equidigital number, since it uses as much as digits as its factorization.

43118103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65817 (or 65801 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 43118103040 its reverse (4030181134), we get a palindrome (47148284174).

The spelling of 43118103040 in words is "forty-three billion, one hundred eighteen million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 257 320 512 514 640 1028 1280 1285 2056 2560 2570 4112 5140 8224 10280 16448 20560 32896 41120 65537 65792 82240 131074 131584 164480 262148 327685 328960 524296 655370 657920 1048592 1310740 2097184 2621480 4194368 5242960 8388736 10485920 16777472 16843009 20971840 33554944 33686018 41943680 67372036 83887360 84215045 134744072 167774720 168430090 269488144 336860180 538976288 673720360 1077952576 1347440720 2155905152 2694881440 4311810304 5389762880 8623620608 10779525760 21559051520 43118103040