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143785814481 = 321263972
BaseRepresentation
bin1000010111101001001…
…1010110100111010001
3111202010200101011220100
42011322103112213101
54323433132030411
6150015421003013
713250101154211
oct2057223264721
9452120334810
10143785814481
1155a85386641
1223a496b3469
13107360006ca
146d6034a241
153b18289456
hex217a4d69d1

143785814481 has 9 divisors (see below), whose sum is σ = 207692264091. Its totient is φ = 95856451272.

The previous prime is 143785814453. The next prime is 143785814509. The reversal of 143785814481 is 184418587341.

It is a happy number.

The square root of 143785814481 is 379191.

It is a perfect power (a square), and thus also a powerful number.

143785814481 is a `hidden beast` number, since 1 + 4 + 3 + 7 + 85 + 81 + 4 + 481 = 666.

143785814481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (143785814453) and next prime (143785814509).

It can be written as a sum of positive squares in only one way, i.e., 33351890625 + 110433923856 = 182625^2 + 332316^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 143785814481 - 27 = 143785814353 is a prime.

It is a super-2 number, since 2×1437858144812 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (143785814281) 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 in 8 ways as a sum of consecutive naturals, for example, 1074375 + ... + 1200771.

Almost surely, 2143785814481 is an apocalyptic number.

143785814481 is the 379191-st square number.

143785814481 is the 189596-th centered octagonal number.

It is an amenable number.

143785814481 is a deficient number, since it is larger than the sum of its proper divisors (63906449610).

143785814481 is an frugal number, since it uses more digits than its factorization.

143785814481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252800 (or 126400 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 143785814481 in words is "one hundred forty-three billion, seven hundred eighty-five million, eight hundred fourteen thousand, four hundred eighty-one".

Divisors: 1 3 9 126397 379191 1137573 15976201609 47928604827 143785814481