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44323040322 = 23311178352883
BaseRepresentation
bin101001010001110110…
…111110110001000010
311020101221121201222000
4221101312332301002
51211233144242242
632210044324430
73126236424621
oct512166766102
9136357551860
1044323040322
1117885223240
12870b843716
1342448aaca2
1422067b16b8
1512462bca4c
hexa51dbec42

44323040322 has 128 divisors (see below), whose sum is σ = 115143275520. Its totient is φ = 12488613120.

The previous prime is 44323040303. The next prime is 44323040327. The reversal of 44323040322 is 22304032344.

44323040322 is a `hidden beast` number, since 4 + 4 + 3 + 230 + 403 + 22 = 666.

44323040322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (44323040327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 811693 + ... + 864575.

It is an arithmetic number, because the mean of its divisors is an integer number (899556840).

Almost surely, 244323040322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44323040322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57571637760).

44323040322 is an abundant number, since it is smaller than the sum of its proper divisors (70820235198).

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

44323040322 is a wasteful number, since it uses less digits than its factorization.

44323040322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53005 (or 52999 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 44323040322 its reverse (22304032344), we get a palindrome (66627072666).

The spelling of 44323040322 in words is "forty-four billion, three hundred twenty-three million, forty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 83 99 102 153 166 187 198 249 297 306 374 459 498 561 594 747 913 918 1122 1411 1494 1683 1826 2241 2739 2822 3366 4233 4482 5049 5478 8217 8466 10098 12699 15521 16434 24651 25398 31042 38097 46563 49302 52883 76194 93126 105766 139689 158649 279378 317298 419067 475947 581713 838134 899011 951894 1163426 1427841 1745139 1798022 2697033 2855682 3490278 4389289 5235417 5394066 8091099 8778578 9889121 10470834 13167867 15706251 16182198 19778242 24273297 26335734 29667363 31412502 39503601 48282179 48546594 59334726 74617913 79007202 89002089 96564358 118510803 144846537 149235826 178004178 223853739 237021606 267006267 289693074 434539611 447707478 534012534 671561217 820797043 869079222 1303618833 1343122434 1641594086 2014683651 2462391129 2607237666 4029367302 4924782258 7387173387 14774346774 22161520161 44323040322