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1407416557 is a prime number
BaseRepresentation
bin101001111100011…
…0111100011101101
310122002022011120011
41103320313203231
510340244312212
6351353453221
746606562161
oct12370674355
93562264504
101407416557
116624a4988
12333411211
13195777481
14d4cc2ca1
158385c4a7
hex53e378ed

1407416557 has 2 divisors, whose sum is σ = 1407416558. Its totient is φ = 1407416556.

The previous prime is 1407416513. The next prime is 1407416579. The reversal of 1407416557 is 7556147041.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1006856361 + 400560196 = 31731^2 + 20014^2 .

It is a cyclic number.

It is not a de Polignac number, because 1407416557 - 219 = 1406892269 is a prime.

It is a super-3 number, since 3×14074165573 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1407416057) by changing a digit.

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 as a sum of consecutive naturals, namely, 703708278 + 703708279.

It is an arithmetic number, because the mean of its divisors is an integer number (703708279).

Almost surely, 21407416557 is an apocalyptic number.

It is an amenable number.

1407416557 is a deficient number, since it is larger than the sum of its proper divisors (1).

1407416557 is an equidigital number, since it uses as much as digits as its factorization.

1407416557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 1407416557 is about 37515.5508689397. The cubic root of 1407416557 is about 1120.6608974045.

The spelling of 1407416557 in words is "one billion, four hundred seven million, four hundred sixteen thousand, five hundred fifty-seven".