Search a number
-
+
203441104140 = 223537442320719
BaseRepresentation
bin1011110101111000001…
…0001110010100001100
3201110010011022212221220
42331132002032110030
511313121410313030
6233243132523340
720461313565411
oct2753602162414
9643104285856
10203441104140
117930822171a
1233518020550
1316252207281
149bbd10c108
15545a5eaa10
hex2f5e08e50c

203441104140 has 96 divisors (see below), whose sum is σ = 585191147520. Its totient is φ = 52770237696.

The previous prime is 203441104033. The next prime is 203441104169. The reversal of 203441104140 is 41401144302.

It is a super-3 number, since 3×2034411041403 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 203441104140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9808701 + ... + 9829419.

It is an arithmetic number, because the mean of its divisors is an integer number (6095741120).

Almost surely, 2203441104140 is an apocalyptic number.

203441104140 is a gapful number since it is divisible by the number (20) 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 203441104140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292595573760).

203441104140 is an abundant number, since it is smaller than the sum of its proper divisors (381750043380).

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

203441104140 is a wasteful number, since it uses less digits than its factorization.

203441104140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25191 (or 25189 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 203441104140 its reverse (41401144302), we get a palindrome (244842248442).

The spelling of 203441104140 in words is "two hundred three billion, four hundred forty-one million, one hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 4423 8846 13269 17692 20719 22115 26538 41438 44230 53076 62157 66345 82876 88460 103595 124314 132690 163651 207190 248628 265380 310785 327302 414380 490953 621570 654604 766603 818255 981906 1243140 1533206 1636510 1963812 2299809 2454765 3066412 3273020 3833015 4599618 4909530 7666030 9199236 9819060 11499045 15332060 22998090 45996180 91640137 183280274 274920411 366560548 458200685 549840822 916401370 1099681644 1374602055 1832802740 2749204110 3390685069 5498408220 6781370138 10172055207 13562740276 16953425345 20344110414 33906850690 40688220828 50860276035 67813701380 101720552070 203441104140