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1305423140432 = 241722691049497
BaseRepresentation
bin10010111111110001010…
…010000101011001010000
311121210112011221112100012
4102333301102011121100
5132342001310443212
62435411512214052
7163212413416415
oct22776122053120
94553464845305
101305423140432
1146369936a934
12190bbb69a328
139614080a288
144727b91610c
1523e550b1922
hex12ff1485650

1305423140432 has 60 divisors (see below), whose sum is σ = 2696779565820. Its totient is φ = 612032483328.

The previous prime is 1305423140393. The next prime is 1305423140443. The reversal of 1305423140432 is 2340413245031.

It can be written as a sum of positive squares in 6 ways, for example, as 147698787856 + 1157724352576 = 384316^2 + 1075976^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 719108 + ... + 1768604.

It is an arithmetic number, because the mean of its divisors is an integer number (44946326097).

Almost surely, 21305423140432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305423140432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348389782910).

1305423140432 is an abundant number, since it is smaller than the sum of its proper divisors (1391356425388).

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

1305423140432 is a wasteful number, since it uses less digits than its factorization.

1305423140432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049808 (or 1049785 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 1305423140432 its reverse (2340413245031), we get a palindrome (3645836385463).

The spelling of 1305423140432 in words is "one trillion, three hundred five billion, four hundred twenty-three million, one hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 269 272 289 538 578 1076 1156 2152 2312 4304 4573 4624 9146 18292 36584 73168 77741 155482 310964 621928 1049497 1243856 2098994 4197988 8395976 16791952 17841449 35682898 71365796 142731592 282314693 285463184 303304633 564629386 606609266 1129258772 1213218532 2258517544 2426437064 4517035088 4799349781 4852874128 9598699562 19197399124 38394798248 76789596496 81588946277 163177892554 326355785108 652711570216 1305423140432