Search a number
-
+
804404114000 = 2453402202057
BaseRepresentation
bin10111011010010100011…
…10001011001001010000
32211220022022020220121222
423231022032023021100
5101134404423122000
61413312123504212
7112054612103354
oct13551216131120
92756268226558
10804404114000
11290167173833
1210ba95388068
135ab165200a6
142ad0d231464
1515dcec8ea85
hexbb4a38b250

804404114000 has 40 divisors (see below), whose sum is σ = 1945049152488. Its totient is φ = 321761644800.

The previous prime is 804404113823. The next prime is 804404114009. The reversal of 804404114000 is 411404408.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9439288336 + 794964825664 = 97156^2 + 891608^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804404114009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201099029 + ... + 201103028.

Almost surely, 2804404114000 is an apocalyptic number.

804404114000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

804404114000 is an abundant number, since it is smaller than the sum of its proper divisors (1140645038488).

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

804404114000 is a wasteful number, since it uses less digits than its factorization.

804404114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402202080 (or 402202064 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 804404114000 its reverse (411404408), we get a palindrome (804815518408).

The spelling of 804404114000 in words is "eight hundred four billion, four hundred four million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 402202057 804404114 1608808228 2011010285 3217616456 4022020570 6435232912 8044041140 10055051425 16088082280 20110102850 32176164560 40220205700 50275257125 80440411400 100550514250 160880822800 201101028500 402202057000 804404114000