Search a number
-
+
204041101444000 = 2553173000604433
BaseRepresentation
bin101110011001001100000101…
…010111110000001110100000
3222202110010202011221110010021
4232121030011113300032200
5203221002133432202000
62001543104334043224
760656324463660502
oct5631140527601640
9882403664843107
10204041101444000
115a017388474157
121aa74648049514
1389b0cbb3a4b82
1438558db927d72
15188c89d5a011a
hexb993055f03a0

204041101444000 has 96 divisors (see below), whose sum is σ = 530818926792336. Its totient is φ = 76815473459200.

The previous prime is 204041101443989. The next prime is 204041101444043. The reversal of 204041101444000 is 444101140402.

204041101444000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 53897152395024 + 150143949048976 = 7341468^2 + 12253324^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1500234217 + ... + 1500370216.

Almost surely, 2204041101444000 is an apocalyptic number.

204041101444000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204041101444000 is an abundant number, since it is smaller than the sum of its proper divisors (326777825348336).

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

204041101444000 is a wasteful number, since it uses less digits than its factorization.

204041101444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000604475 (or 3000604457 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 204041101444000 its reverse (444101140402), we get a palindrome (204485202584402).

The spelling of 204041101444000 in words is "two hundred four trillion, forty-one billion, one hundred one million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 34000 68000 3000604433 6001208866 12002417732 15003022165 24004835464 30006044330 48009670928 51010275361 60012088660 75015110825 96019341856 102020550722 120024177320 150030221650 204041101444 240048354640 255051376805 300060443300 375075554125 408082202888 480096709280 510102753610 600120886600 750151108250 816164405776 1020205507220 1200241773200 1275256884025 1500302216500 1632328811552 2040411014440 2400483546400 2550513768050 3000604433000 4080822028880 5101027536100 6001208866000 6376284420125 8161644057760 10202055072200 12002417732000 12752568840250 20404110144400 25505137680500 40808220288800 51010275361000 102020550722000 204041101444000