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148145383541841 = 3759119568509719
BaseRepresentation
bin100001101011110011001000…
…111101100000110001010001
3201102112120010111102002021020
4201223303020331200301101
5123404203221141314331
61243025014420550053
743130102465026020
oct4153631075406121
9642476114362236
10148145383541841
114322711695a254
1214747699252329
13648808532375a
1428823bc1788b7
15121d904adbc96
hex86bcc8f60c51

148145383541841 has 16 divisors (see below), whose sum is σ = 229571538662400. Its totient is φ = 83219682763728.

The previous prime is 148145383541809. The next prime is 148145383541879.

148145383541841 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 148145383541841 - 25 = 148145383541809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (148145383541941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59784253621 + ... + 59784256098.

It is an arithmetic number, because the mean of its divisors is an integer number (14348221166400).

Almost surely, 2148145383541841 is an apocalyptic number.

It is an amenable number.

148145383541841 is a deficient number, since it is larger than the sum of its proper divisors (81426155120559).

148145383541841 is a wasteful number, since it uses less digits than its factorization.

148145383541841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119568509788.

The product of its digits is 29491200, while the sum is 60.

The spelling of 148145383541841 in words is "one hundred forty-eight trillion, one hundred forty-five billion, three hundred eighty-three million, five hundred forty-one thousand, eight hundred forty-one".

Divisors: 1 3 7 21 59 177 413 1239 119568509719 358705529157 836979568033 2510938704099 7054542073421 21163626220263 49381794513947 148145383541841