Search a number
-
+
1044123241304 = 2311138320395393
BaseRepresentation
bin11110011000110101001…
…10000100101101011000
310200211001202002022201102
433030122212010231120
5114101331022210204
62115355200410532
7135302230054343
oct17143246045530
93624052068642
101044123241304
113728a0393180
1214a436916a48
13775ca65cb50
143877048945a
151c26021941e
hexf31a984b58

1044123241304 has 128 divisors (see below), whose sum is σ = 2329275916800. Its totient is φ = 432522946560.

The previous prime is 1044123241303. The next prime is 1044123241321. The reversal of 1044123241304 is 4031423214401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044123241303) 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 31 ways as a sum of consecutive naturals, for example, 193604432 + ... + 193609824.

It is an arithmetic number, because the mean of its divisors is an integer number (18197468100).

Almost surely, 21044123241304 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 1044123241304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164637958400).

1044123241304 is an abundant number, since it is smaller than the sum of its proper divisors (1285152675496).

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

1044123241304 is a wasteful number, since it uses less digits than its factorization.

1044123241304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7545 (or 7541 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 1044123241304 its reverse (4031423214401), we get a palindrome (5075546455705).

The spelling of 1044123241304 in words is "one trillion, forty-four billion, one hundred twenty-three million, two hundred forty-one thousand, three hundred four".

Divisors: 1 2 4 8 11 13 22 26 44 52 83 88 104 143 166 286 332 572 664 913 1079 1144 1826 2039 2158 3652 4078 4316 5393 7304 8156 8632 10786 11869 16312 21572 22429 23738 26507 43144 44858 47476 53014 59323 70109 89716 94952 106028 118646 140218 169237 179432 212056 237292 280436 291577 338474 447619 474584 560872 583154 676948 771199 895238 1166308 1353896 1542398 1790476 1861607 2200081 2332616 3084796 3580952 3723214 4400162 4923809 5819047 6169592 7446428 8800324 9847618 10996327 11638094 14892856 17600648 19695236 21992654 23276188 24200891 39390472 43985308 46552376 48401782 64009517 87970616 96803564 120959597 128019034 142952251 193607128 241919194 256038068 285904502 483838388 512076136 571809004 912695141 967676776 1143618008 1572474761 1825390282 3144949522 3650780564 6289899044 7301561128 10039646551 11865036833 12579798088 20079293102 23730073666 40158586204 47460147332 80317172408 94920294664 130515405163 261030810326 522061620652 1044123241304