Search a number
-
+
414400123031 is a prime number
BaseRepresentation
bin1100000011111000010…
…11000001000010010111
31110121122020221102011212
412001330023001002113
523242142412414111
6514212304452035
741640135632666
oct6017413010227
91417566842155
10414400123031
1114a82307aa24
126839191a01b
1330101b027bb
14160b2872ddd
15aba5c1698b
hex607c2c1097

414400123031 has 2 divisors, whose sum is σ = 414400123032. Its totient is φ = 414400123030.

The previous prime is 414400122959. The next prime is 414400123037. The reversal of 414400123031 is 130321004414.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 414400123031 - 226 = 414333014167 is a prime.

It is a super-2 number, since 2×4144001230312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414400122988 and 414400123006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414400123037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207200061515 + 207200061516.

It is an arithmetic number, because the mean of its divisors is an integer number (207200061516).

Almost surely, 2414400123031 is an apocalyptic number.

414400123031 is a deficient number, since it is larger than the sum of its proper divisors (1).

414400123031 is an equidigital number, since it uses as much as digits as its factorization.

414400123031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 414400123031 its reverse (130321004414), we get a palindrome (544721127445).

The spelling of 414400123031 in words is "four hundred fourteen billion, four hundred million, one hundred twenty-three thousand, thirty-one".