Search a number
-
+
4064064123145 = 5132101363713093
BaseRepresentation
bin111011001000111101000…
…110010011000100001001
3112101112001121122100112211
4323020331012103010021
51013041200403420040
612351001050305121
7566422204033255
oct73107506230411
915345047570484
104064064123145
11132761827a594
12557786a281a1
13236316538c00
141009b7879265
1570ab03ec8ea
hex3b23d193109

4064064123145 has 48 divisors (see below), whose sum is σ = 5335038320112. Its totient is φ = 2970396748800.

The previous prime is 4064064123139. The next prime is 4064064123157. The reversal of 4064064123145 is 5413214604604.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 2985928704256 + 1078135418889 = 1727984^2 + 1038333^2 .

It is not a de Polignac number, because 4064064123145 - 215 = 4064064090377 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4064064123098 and 4064064123107.

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 47 ways as a sum of consecutive naturals, for example, 310393219 + ... + 310406311.

It is an arithmetic number, because the mean of its divisors is an integer number (111146631669).

Almost surely, 24064064123145 is an apocalyptic number.

It is an amenable number.

4064064123145 is a deficient number, since it is larger than the sum of its proper divisors (1270974196967).

4064064123145 is a wasteful number, since it uses less digits than its factorization.

4064064123145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16862 (or 16849 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

Adding to 4064064123145 its reverse (5413214604604), we get a palindrome (9477278727749).

The spelling of 4064064123145 in words is "four trillion, sixty-four billion, sixty-four million, one hundred twenty-three thousand, one hundred forty-five".

Divisors: 1 5 13 65 101 169 505 845 1313 3637 6565 13093 17069 18185 47281 65465 85345 170209 236405 367337 614653 851045 1322393 1836685 2212717 3073265 4775381 6611965 11063585 17191109 23876905 47619241 62079953 85955545 223484417 238096205 310399765 619050133 1117422085 3095250665 4809543341 8047651729 24047716705 40238258645 62524063433 312620317165 812812824629 4064064123145