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44011113310134 = 23223712356763533
BaseRepresentation
bin10100000000111001000101…
…10001100110011110110110
312202211102101011021100202200
422000130202301212132312
521232034230001411014
6233334232031045330
712161461262452005
oct1200344261463666
9182742334240680
1044011113310134
1113029010107073
124b29794970846
131b732cb911749
14ac2213782c3c
15514c6b699a09
hex280722c667b6

44011113310134 has 96 divisors (see below), whose sum is σ = 100910712674304. Its totient is φ = 13834082834880.

The previous prime is 44011113310133. The next prime is 44011113310147. The reversal of 44011113310134 is 43101331111044.

44011113310134 is a `hidden beast` number, since 4 + 401 + 1 + 113 + 3 + 10 + 134 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 44011113310098 and 44011113310107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44011113310133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692696632 + ... + 692760164.

It is an arithmetic number, because the mean of its divisors is an integer number (1051153257024).

Almost surely, 244011113310134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44011113310134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50455356337152).

44011113310134 is an abundant number, since it is smaller than the sum of its proper divisors (56899599364170).

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

44011113310134 is a wasteful number, since it uses less digits than its factorization.

44011113310134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87202 (or 87199 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 44011113310134 its reverse (43101331111044), we get a palindrome (87112444421178).

The spelling of 44011113310134 in words is "forty-four trillion, eleven billion, one hundred thirteen million, three hundred ten thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 71 138 142 207 213 414 426 639 1278 1633 3266 4899 9798 14697 23567 29394 47134 63533 70701 127066 141402 190599 212103 381198 424206 542041 571797 1084082 1143594 1461259 1626123 1673257 2922518 3252246 3346514 4383777 4510843 4878369 5019771 8767554 9021686 9756738 10039542 13151331 13532529 15059313 26302662 27065058 30118626 38484911 40597587 76969822 81195174 103749389 115454733 207498778 230909466 311248167 346364199 622496334 692728398 933744501 1497282211 1867489002 2994564422 4491846633 8983693266 13475539899 26951079798 34437490853 68874981706 103312472559 106307036981 206624945118 212614073962 309937417677 318921110943 619874835354 637842221886 956763332829 1913526665658 2445061850563 4890123701126 7335185551689 14670371103378 22005556655067 44011113310134