Search a number
-
+
4405200544040 = 2354324411049227
BaseRepresentation
bin100000000011010101001…
…1010011110000100101000
3120121010121000000002012012
41000012222122132010220
51034133322314402130
613211415435535052
7633156655543112
oct100065232360450
916533530002165
104405200544040
11144926495574a
125b19108ba488
1325c5409b046a
141132da0883b2
15798c9220995
hex401aa69e128

4405200544040 has 64 divisors (see below), whose sum is σ = 10146370512960. Its totient is φ = 1720394887680.

The previous prime is 4405200544033. The next prime is 4405200544079. The reversal of 4405200544040 is 404450025044.

It is a junction number, because it is equal to n+sod(n) for n = 4405200543988 and 4405200544006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3673907 + ... + 4723133.

It is an arithmetic number, because the mean of its divisors is an integer number (158537039265).

Almost surely, 24405200544040 is an apocalyptic number.

4405200544040 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 4405200544040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073185256480).

4405200544040 is an abundant number, since it is smaller than the sum of its proper divisors (5741169968920).

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

4405200544040 is a wasteful number, since it uses less digits than its factorization.

4405200544040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051722 (or 1051718 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 32.

Adding to 4405200544040 its reverse (404450025044), we get a palindrome (4809650569084).

The spelling of 4405200544040 in words is "four trillion, four hundred five billion, two hundred million, five hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 2441 4882 9764 12205 19528 24410 48820 97640 104963 209926 419852 524815 839704 1049227 1049630 2098454 2099260 4196908 4198520 5246135 8393816 10492270 20984540 41969080 45116761 90233522 180467044 225583805 360934088 451167610 902335220 1804670440 2561163107 5122326214 10244652428 12805815535 20489304856 25611631070 51223262140 102446524280 110130013601 220260027202 440520054404 550650068005 881040108808 1101300136010 2202600272020 4405200544040