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1414668141 = 321741613697
BaseRepresentation
bin101010001010010…
…0001111101101101
310122120221120212100
41110110201331231
510344123340031
6352213125313
750025323625
oct12424417555
93576846770
101414668141
116665a8127
12335929839
13197116053
14d5c4d885
15842e0de6
hex54521f6d

1414668141 has 48 divisors (see below), whose sum is σ = 2253324528. Its totient is φ = 851558400.

The previous prime is 1414668109. The next prime is 1414668173. The reversal of 1414668141 is 1418664141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1414668109) and next prime (1414668173).

It can be written as a sum of positive squares in 8 ways, for example, as 555592041 + 859076100 = 23571^2 + 29310^2 .

It is not a de Polignac number, because 1414668141 - 25 = 1414668109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1414668096 and 1414668105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414669141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380805 + ... + 384501.

It is an arithmetic number, because the mean of its divisors is an integer number (46944261).

Almost surely, 21414668141 is an apocalyptic number.

It is an amenable number.

1414668141 is a deficient number, since it is larger than the sum of its proper divisors (838656387).

1414668141 is a wasteful number, since it uses less digits than its factorization.

1414668141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 3819 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1414668141 is about 37612.0744043718. The cubic root of 1414668141 is about 1122.5823018575.

The spelling of 1414668141 in words is "one billion, four hundred fourteen million, six hundred sixty-eight thousand, one hundred forty-one".

Divisors: 1 3 9 17 41 51 61 123 153 183 369 549 697 1037 2091 2501 3111 3697 6273 7503 9333 11091 22509 33273 42517 62849 127551 151577 188547 225517 382653 454731 565641 676551 1364193 2029653 2576809 3833789 7730427 9246197 11501367 23191281 27738591 34504101 83215773 157185349 471556047 1414668141