Search a number
-
+
144311001041022 = 23171734314005259
BaseRepresentation
bin100000110100000000000101…
…111101000100100001111110
3200220221222220210021001112020
4200310000011331010201332
5122403342412231303042
61230531320400421010
742253061064364464
oct4064000575044176
9626858823231466
10144311001041022
1141a88a519a9052
1214228532317766
13626a61353815a
14278c992830834
1511a3cd884d3ec
hex834005f4487e

144311001041022 has 16 divisors (see below), whose sum is σ = 288622190753280. Its totient is φ = 48103635568472.

The previous prime is 144311001041017. The next prime is 144311001041041. The reversal of 144311001041022 is 220140100113441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 144311001040983 and 144311001041001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3301429 + ... + 17306687.

It is an arithmetic number, because the mean of its divisors is an integer number (18038886922080).

Almost surely, 2144311001041022 is an apocalyptic number.

144311001041022 is an abundant number, since it is smaller than the sum of its proper divisors (144311189712258).

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

144311001041022 is a wasteful number, since it uses less digits than its factorization.

144311001041022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15722607.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 144311001041022 its reverse (220140100113441), we get a palindrome (364451101154463).

The spelling of 144311001041022 in words is "one hundred forty-four trillion, three hundred eleven billion, one million, forty-one thousand, twenty-two".

Divisors: 1 2 3 6 1717343 3434686 5152029 10304058 14005259 28010518 42015777 84031554 24051833506837 48103667013674 72155500520511 144311001041022