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510014141 = 71327120681
BaseRepresentation
bin11110011001100…
…011001010111101
31022112200101212122
4132121203022331
52021030423031
6122335212325
715432022460
oct3631431275
91275611778
10510014141
1124198719a
121229770a5
1381880220
144ba412d7
152eb9547b
hex1e6632bd

510014141 has 16 divisors (see below), whose sum is σ = 630056448. Its totient is φ = 402019200.

The previous prime is 510014137. The next prime is 510014171. The reversal of 510014141 is 141410015.

It is a cyclic number.

It is not a de Polignac number, because 510014141 - 22 = 510014137 is a prime.

It is a super-2 number, since 2×5100141412 = 520228848039935762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510014101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14321 + ... + 35001.

It is an arithmetic number, because the mean of its divisors is an integer number (39378528).

Almost surely, 2510014141 is an apocalyptic number.

It is an amenable number.

510014141 is a deficient number, since it is larger than the sum of its proper divisors (120042307).

510014141 is a wasteful number, since it uses less digits than its factorization.

510014141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20972.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 510014141 is about 22583.4926661046. The cubic root of 510014141 is about 798.9643583239.

Adding to 510014141 its reverse (141410015), we get a palindrome (651424156).

The spelling of 510014141 in words is "five hundred ten million, fourteen thousand, one hundred forty-one".

Divisors: 1 7 13 91 271 1897 3523 20681 24661 144767 268853 1881971 5604551 39231857 72859163 510014141