Search a number
-
+
440023542113320 = 235111377299660619
BaseRepresentation
bin110010000001100101111011…
…0111010111010010000101000
32010200222211200012211101201021
41210003023312322322100220
5430133321203240111240
64155504005152302224
7161453436400452064
oct14403136672722050
92120884605741637
10440023542113320
11118228a33150970
1241427615b41974
1315b6b0712b3189
147a9337860aaa4
1535d104ea4154a
hex19032f6eba428

440023542113320 has 64 divisors (see below), whose sum is σ = 1087941418804800. Its totient is φ = 158840615047680.

The previous prime is 440023542113299. The next prime is 440023542113369. The reversal of 440023542113320 is 23311245320044.

It is a super-2 number, since 2×4400235421133202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3649770030 + ... + 3649890589.

It is an arithmetic number, because the mean of its divisors is an integer number (16999084668825).

Almost surely, 2440023542113320 is an apocalyptic number.

440023542113320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440023542113320 is an abundant number, since it is smaller than the sum of its proper divisors (647917876691480).

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

440023542113320 is a wasteful number, since it uses less digits than its factorization.

440023542113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299660778 (or 7299660774 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 440023542113320 its reverse (23311245320044), we get a palindrome (463334787433364).

The spelling of 440023542113320 in words is "four hundred forty trillion, twenty-three billion, five hundred forty-two million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 137 220 274 440 548 685 1096 1370 1507 2740 3014 5480 6028 7535 12056 15070 30140 60280 7299660619 14599321238 29198642476 36498303095 58397284952 72996606190 80296266809 145993212380 160592533618 291986424760 321185067236 401481334045 642370134472 802962668090 1000053504803 1605925336180 2000107009606 3211850672360 4000214019212 5000267524015 8000428038424 10000535048030 11000588552833 20001070096060 22001177105666 40002140192120 44002354211332 55002942764165 88004708422664 110005885528330 220011771056660 440023542113320