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1144589223357 = 322411948927077
BaseRepresentation
bin10000101001111110110…
…101011000010110111101
311001102101101120000011200
4100221332311120112331
5122223104320121412
62233452251210113
7145456662605166
oct20517665302675
94042341500150
101144589223357
11401465860508
121659b4746939
1383c1b8738c8
143d58136876d
151eb902ec9dc
hex10a7ed585bd

1144589223357 has 24 divisors (see below), whose sum is σ = 1660302192120. Its totient is φ = 759826206720.

The previous prime is 1144589223329. The next prime is 1144589223359. The reversal of 1144589223357 is 7533229854411.

1144589223357 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 589 + 2 + 2 + 3 + 3 + 57 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 159505183161 + 985084040196 = 399381^2 + 992514^2 .

It is not a de Polignac number, because 1144589223357 - 210 = 1144589222333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144589223359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42258103 + ... + 42285179.

It is an arithmetic number, because the mean of its divisors is an integer number (69179258005).

Almost surely, 21144589223357 is an apocalyptic number.

It is an amenable number.

1144589223357 is a deficient number, since it is larger than the sum of its proper divisors (515712968763).

1144589223357 is a wasteful number, since it uses less digits than its factorization.

1144589223357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46813 (or 46810 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 1144589223357 in words is "one trillion, one hundred forty-four billion, five hundred eighty-nine million, two hundred twenty-three thousand, three hundred fifty-seven".

Divisors: 1 3 9 241 723 2169 19489 27077 58467 81231 175401 243693 4696849 6525557 14090547 19576671 42271641 58730013 527703653 1583110959 4749332877 127176580373 381529741119 1144589223357