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147414183181 = 3718157738149
BaseRepresentation
bin1000100101001010010…
…0011110110100001101
3112002111112210102001021
42021102210132310031
54403401012330211
6151415433314141
713436026611466
oct2112244366415
9462445712037
10147414183181
1157577510761
12246a0865951
1310b93934135
1471c61a1d6d
153c7baa1771
hex225291ed0d

147414183181 has 16 divisors (see below), whose sum is σ = 152502641200. Its totient is φ = 142386647040.

The previous prime is 147414183157. The next prime is 147414183187. The reversal of 147414183181 is 181381414741.

147414183181 = 2714902 + 2714912.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 31071112900 + 116343070281 = 176270^2 + 341091^2 .

It is a 7-Lehmer number, since φ(147414183181) divides (147414183181-1)7.

It is a cyclic number.

It is not a de Polignac number, because 147414183181 - 215 = 147414150413 is a prime.

It is a super-2 number, since 2×1474141831812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147414183187) 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, 3845095 + ... + 3883243.

It is an arithmetic number, because the mean of its divisors is an integer number (9531415075).

Almost surely, 2147414183181 is an apocalyptic number.

147414183181 is the 271491-st centered square number.

It is an amenable number.

147414183181 is a deficient number, since it is larger than the sum of its proper divisors (5088458019).

147414183181 is a wasteful number, since it uses less digits than its factorization.

147414183181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38944.

The product of its digits is 86016, while the sum is 43.

The spelling of 147414183181 in words is "one hundred forty-seven billion, four hundred fourteen million, one hundred eighty-three thousand, one hundred eighty-one".

Divisors: 1 37 181 577 6697 21349 38149 104437 1411513 3864169 6904969 22011973 255483853 814443001 3984167113 147414183181