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145744331886 = 233233221827
BaseRepresentation
bin1000011110111100001…
…0100000010001101110
3111221012011200011201000
42013233002200101232
54341441022110021
6150542022501130
713346452244406
oct2075702402156
9457164604630
10145744331886
115689a96a76a
12242b55947a6
13109889b244a
1470a84c7806
153bd01a5b26
hex21ef0a046e

145744331886 has 64 divisors (see below), whose sum is σ = 338598259200. Its totient is φ = 46468997784.

The previous prime is 145744331879. The next prime is 145744331897. The reversal of 145744331886 is 688133447541.

145744331886 is a `hidden beast` number, since 1 + 457 + 4 + 4 + 3 + 3 + 188 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 546105 + ... + 767931.

It is an arithmetic number, because the mean of its divisors is an integer number (5290597800).

Almost surely, 2145744331886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145744331886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169299129600).

145744331886 is an abundant number, since it is smaller than the sum of its proper divisors (192853927314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145744331886 is an equidigital number, since it uses as much as digits as its factorization.

145744331886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221907 (or 221855 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 145744331886 in words is "one hundred forty-five billion, seven hundred forty-four million, three hundred thirty-one thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 529 621 1058 1242 1587 3174 4761 9522 12167 14283 24334 28566 36501 73002 109503 219006 221827 328509 443654 657018 665481 1330962 1996443 3992886 5102021 5989329 10204042 11978658 15306063 30612126 45918189 91836378 117346483 137754567 234692966 275509134 352039449 704078898 1056118347 2112236694 2698969109 3168355041 5397938218 6336710082 8096907327 16193814654 24290721981 48581443962 72872165943 145744331886