Search a number
-
+
4130023115214 = 23553160339433
BaseRepresentation
bin111100000110011000100…
…011111000100111001110
3112121211022102010022200000
4330012120203320213032
51020131241404141324
612441150104345130
7604245552152553
oct74063043704716
915554272108600
104130023115214
111352595419587
125685144751a6
1323c5c87045b9
14103c73904a2a
1572670d879c9
hex3c1988f89ce

4130023115214 has 48 divisors (see below), whose sum is σ = 9454895744112. Its totient is φ = 1350699375168.

The previous prime is 4130023115201. The next prime is 4130023115227. The reversal of 4130023115214 is 4125113200314.

4130023115214 is a `hidden beast` number, since 4 + 130 + 0 + 2 + 3 + 1 + 1 + 521 + 4 = 666.

4130023115214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4130023115201) and next prime (4130023115227).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80143959 + ... + 80195474.

It is an arithmetic number, because the mean of its divisors is an integer number (196976994669).

Almost surely, 24130023115214 is an apocalyptic number.

4130023115214 is an abundant number, since it is smaller than the sum of its proper divisors (5324872628898).

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

4130023115214 is a wasteful number, since it uses less digits than its factorization.

4130023115214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160339503 (or 160339491 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 4130023115214 its reverse (4125113200314), we get a palindrome (8255136315528).

The spelling of 4130023115214 in words is "four trillion, one hundred thirty billion, twenty-three million, one hundred fifteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 243 318 477 486 954 1431 2862 4293 8586 12879 25758 160339433 320678866 481018299 962036598 1443054897 2886109794 4329164691 8497989949 8658329382 12987494073 16995979898 25493969847 25974988146 38962482219 50987939694 76481909541 77924964438 152963819082 229445728623 458891457246 688337185869 1376674371738 2065011557607 4130023115214