Search a number
-
+
43313101140 = 223511330720809
BaseRepresentation
bin101000010101101010…
…010111100101010100
311010210120020111212010
4220111222113211110
51202201123214030
631521530024220
73062224166541
oct502552274524
9133716214763
1043313101140
1117407130a61
128489578070
1341135a0b3a
14214c5d7bc8
1511d77c66b0
hexa15a97954

43313101140 has 96 divisors (see below), whose sum is σ = 122754360960. Its totient is φ = 11410108416.

The previous prime is 43313101127. The next prime is 43313101159. The reversal of 43313101140 is 4110131334.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2071056 + ... + 2091864.

It is an arithmetic number, because the mean of its divisors is an integer number (1278691260).

Almost surely, 243313101140 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 43313101140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61377180480).

43313101140 is an abundant number, since it is smaller than the sum of its proper divisors (79441259820).

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

43313101140 is a wasteful number, since it uses less digits than its factorization.

43313101140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21241 (or 21239 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 43313101140 its reverse (4110131334), we get a palindrome (47423232474).

It can be divided in two parts, 43313 and 101140, that added together give a triangular number (144453 = T537).

The spelling of 43313101140 in words is "forty-three billion, three hundred thirteen million, one hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 307 339 452 565 614 678 921 1130 1228 1356 1535 1695 1842 2260 3070 3390 3684 4605 6140 6780 9210 18420 20809 34691 41618 62427 69382 83236 104045 104073 124854 138764 173455 208090 208146 249708 312135 346910 416180 416292 520365 624270 693820 1040730 1248540 2081460 2351417 4702834 6388363 7054251 9405668 11757085 12776726 14108502 19165089 23514170 25553452 28217004 31941815 35271255 38330178 47028340 63883630 70542510 76660356 95825445 127767260 141085020 191650890 383301780 721885019 1443770038 2165655057 2887540076 3609425095 4331310114 7218850190 8662620228 10828275285 14437700380 21656550570 43313101140