Search a number
-
+
144040020401321 = 1161379213339209
BaseRepresentation
bin100000110000000011101110…
…001111111101110010101001
3200220000002110200101021101022
4200300003232033331302221
5122334422430210320241
61230203023305102225
742224355661063112
oct4060035617756251
9626002420337338
10144040020401321
1141994036445750
12141a3b07487975
13624abb9882675
14277d8077c9209
15119bc28b5d54b
hex8300ee3fdca9

144040020401321 has 8 divisors (see below), whose sum is σ = 157137128517600. Its totient is φ = 130943339086240.

The previous prime is 144040020401317. The next prime is 144040020401371. The reversal of 144040020401321 is 123104020040441.

144040020401321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 144040020401321 - 22 = 144040020401317 is a prime.

It is a super-5 number, since 5×1440400204013215 (a number of 72 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (144040020401371) 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, 105994436 + ... + 107344773.

It is an arithmetic number, because the mean of its divisors is an integer number (19642141064700).

Almost surely, 2144040020401321 is an apocalyptic number.

144040020401321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144040020401321 is a deficient number, since it is larger than the sum of its proper divisors (13097108116279).

144040020401321 is a wasteful number, since it uses less digits than its factorization.

144040020401321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213400599.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 144040020401321 its reverse (123104020040441), we get a palindrome (267144040441762).

The spelling of 144040020401321 in words is "one hundred forty-four trillion, forty billion, twenty million, four hundred one thousand, three hundred twenty-one".

Divisors: 1 11 61379 675169 213339209 2346731299 13094547309211 144040020401321