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3144334041123 = 3112320047206651
BaseRepresentation
bin101101110000011000111…
…010011110000000100011
3102010121002001020020220220
4231300120322132000203
5403004044003303443
610404253114534123
7443112346235562
oct55603072360043
912117061206826
103144334041123
111002560659090
12429487137343
1319a68129c872
14ac287d8dbd9
1556bd0bc0a83
hex2dc18e9e023

3144334041123 has 32 divisors (see below), whose sum is σ = 4772689108992. Its totient is φ = 1822702596000.

The previous prime is 3144334041073. The next prime is 3144334041179. The reversal of 3144334041123 is 3211404334413.

It is not a de Polignac number, because 3144334041123 - 26 = 3144334041059 is a prime.

It is a super-2 number, since 2×31443340411232 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3144334041523) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15112348 + ... + 15318998.

It is an arithmetic number, because the mean of its divisors is an integer number (149146534656).

Almost surely, 23144334041123 is an apocalyptic number.

3144334041123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3144334041123 is a deficient number, since it is larger than the sum of its proper divisors (1628355067869).

3144334041123 is a wasteful number, since it uses less digits than its factorization.

3144334041123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226735.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 3144334041123 its reverse (3211404334413), we get a palindrome (6355738375536).

The spelling of 3144334041123 in words is "three trillion, one hundred forty-four billion, three hundred thirty-four million, forty-one thousand, one hundred twenty-three".

Divisors: 1 3 11 23 33 69 253 759 20047 60141 206651 220517 461081 619953 661551 1383243 2273161 4752973 5071891 6819483 14258919 15215673 52282703 156848109 4142732597 12428197791 45570058567 95282849731 136710175701 285848549193 1048111347041 3144334041123