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1406465141 is a prime number
BaseRepresentation
bin101001111010100…
…1111010001110101
310122000111211110112
41103311033101311
510340023341031
6351321232405
746565520314
oct12365172165
93560454415
101406465141
11661a05094
12333032705
131955033c3
14d4b1627b
158372062b
hex53d4f475

1406465141 has 2 divisors, whose sum is σ = 1406465142. Its totient is φ = 1406465140.

The previous prime is 1406465077. The next prime is 1406465147. The reversal of 1406465141 is 1415646041.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1372998916 + 33466225 = 37054^2 + 5785^2 .

It is an emirp because it is prime and its reverse (1415646041) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1406465141 - 26 = 1406465077 is a prime.

It is a super-3 number, since 3×14064651413 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1406465098 and 1406465107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1406465147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 703232570 + 703232571.

It is an arithmetic number, because the mean of its divisors is an integer number (703232571).

Almost surely, 21406465141 is an apocalyptic number.

It is an amenable number.

1406465141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1406465141 is an equidigital number, since it uses as much as digits as its factorization.

1406465141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1406465141 is about 37502.8684369609. The cubic root of 1406465141 is about 1120.4083175866.

Subtracting 1406465141 from its reverse (1415646041), we obtain a square (9180900 = 30302).

The spelling of 1406465141 in words is "one billion, four hundred six million, four hundred sixty-five thousand, one hundred forty-one".