Search a number
-
+
203334203140140 = 223579271115823501
BaseRepresentation
bin101110001110111001101110…
…111100101110100000101100
3222122221120010020001220110210
4232032321232330232200230
5203122411422000441030
62000242235434102420
760554261051353062
oct5616715674564054
9878846106056423
10203334203140140
1159874607840796
121a97b64527aa10
13895c443a1a837
14382d5dc3ba032
1518792c8ababb0
hexb8ee6ef2e82c

203334203140140 has 96 divisors (see below), whose sum is σ = 576755254978560. Its totient is φ = 53516342880000.

The previous prime is 203334203140009. The next prime is 203334203140169. The reversal of 203334203140140 is 41041302433302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 203334203140098 and 203334203140107.

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, 4938390 + ... + 20761890.

It is an arithmetic number, because the mean of its divisors is an integer number (6007867239360).

Almost surely, 2203334203140140 is an apocalyptic number.

203334203140140 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 203334203140140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288377627489280).

203334203140140 is an abundant number, since it is smaller than the sum of its proper divisors (373421051838420).

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

203334203140140 is a wasteful number, since it uses less digits than its factorization.

203334203140140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15826303 (or 15826301 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 203334203140140 its reverse (41041302433302), we get a palindrome (244375505573442).

The spelling of 203334203140140 in words is "two hundred three trillion, three hundred thirty-four billion, two hundred three million, one hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 2711 4740 5422 8133 10844 13555 16266 27110 32532 40665 54220 81330 162660 214169 428338 642507 856676 1070845 1285014 2141690 2570028 3212535 4283380 6425070 12850140 15823501 31647002 47470503 63294004 79117505 94941006 158235010 189882012 237352515 316470020 474705030 949410060 1250056579 2500113158 3750169737 5000226316 6250282895 7500339474 12500565790 15000678948 18750848685 25001131580 37501697370 42897511211 75003394740 85795022422 128692533633 171590044844 214487556055 257385067266 428975112110 514770134532 643462668165 857950224220 1286925336330 2573850672660 3388903385669 6777806771338 10166710157007 13555613542676 16944516928345 20333420314014 33889033856690 40666840628028 50833550785035 67778067713380 101667101570070 203334203140140