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443113412140 = 225721493302851
BaseRepresentation
bin1100111001010111001…
…11100001011000101100
31120100202100001122001001
412130223213201120230
524224444013142030
6535321414130044
744004522600100
oct6345347413054
91510670048031
10443113412140
11160a17a73023
1271a65950924
1332a297335b9
1417638059900
15b7d68c7cca
hex672b9e162c

443113412140 has 72 divisors (see below), whose sum is σ = 1083191365872. Its totient is φ = 151822339200.

The previous prime is 443113412129. The next prime is 443113412143. The reversal of 443113412140 is 41214311344.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 443113412099 and 443113412108.

It is not an unprimeable number, because it can be changed into a prime (443113412143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1311715 + ... + 1614565.

It is an arithmetic number, because the mean of its divisors is an integer number (15044324526).

Almost surely, 2443113412140 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 443113412140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541595682936).

443113412140 is an abundant number, since it is smaller than the sum of its proper divisors (640077953732).

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

443113412140 is a wasteful number, since it uses less digits than its factorization.

443113412140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304367 (or 304358 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 443113412140 its reverse (41214311344), we get a palindrome (484327723484).

The spelling of 443113412140 in words is "four hundred forty-three billion, one hundred thirteen million, four hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1493 2986 5972 7465 10451 14930 20902 29860 41804 52255 73157 104510 146314 209020 292628 302851 365785 605702 731570 1211404 1463140 1514255 2119957 3028510 4239914 6057020 8479828 10599785 14839699 21199570 29679398 42399140 59358796 74198495 148396990 296793980 452156543 904313086 1808626172 2260782715 3165095801 4521565430 6330191602 9043130860 12660383204 15825479005 22155670607 31650958010 44311341214 63301916020 88622682428 110778353035 221556706070 443113412140