Search a number
-
+
4145020205414 = 2112101169585967
BaseRepresentation
bin111100010100010110011…
…101001111100101100110
3112200021000120210102212012
4330110112131033211212
51020403000133033124
612452110200154222
7605316315262604
oct74242635174546
915607016712765
104145020205414
111358990933400
1256b3baa68972
13240b4877207a
141048975ac874
1572c4c7c4e0e
hex3c51674f966

4145020205414 has 24 divisors (see below), whose sum is σ = 6901809725664. Its totient is φ = 1865445626000.

The previous prime is 4145020205407. The next prime is 4145020205419.

4145020205414 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×41450202054142 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145020205419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84768542 + ... + 84817425.

It is an arithmetic number, because the mean of its divisors is an integer number (287575405236).

Almost surely, 24145020205414 is an apocalyptic number.

4145020205414 is a deficient number, since it is larger than the sum of its proper divisors (2756789520250).

4145020205414 is a wasteful number, since it uses less digits than its factorization.

4145020205414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169586092 (or 169586081 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The spelling of 4145020205414 in words is "four trillion, one hundred forty-five billion, twenty million, two hundred five thousand, four hundred fourteen".

Divisors: 1 2 11 22 101 121 202 242 1111 2222 12221 24442 169585967 339171934 1865445637 3730891274 17128182667 20519902007 34256365334 41039804014 188410009337 376820018674 2072510102707 4145020205414