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44781431923449 = 321346721972
BaseRepresentation
bin10100010111010011111010…
…10101111010001011111001
312212120001200222122102200100
422023221331111322023321
521332144333033022244
6235124150020230013
712301231425566664
oct1213517525721371
9185501628572610
1044781431923449
11132a5775964721
125032b36b3b309
131bcab42510000
14b0b60bb1a6db
15529d03cebb69
hex28ba7d57a2f9

44781431923449 has 135 divisors (see below), whose sum is σ = 71498886289467. Its totient is φ = 27008694288576.

The previous prime is 44781431923439. The next prime is 44781431923531. The reversal of 44781431923449 is 94432913418744.

It is a happy number.

The square root of 44781431923449 is 6691893.

It is a perfect power (a square), and thus also a powerful number.

44781431923449 is a `hidden beast` number, since 4 + 4 + 7 + 81 + 4 + 319 + 234 + 4 + 9 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 28510954389225 + 16270477534224 = 5339565^2 + 4033668^2 .

It is not a de Polignac number, because 44781431923449 - 225 = 44781398369017 is a prime.

It is a super-2 number, since 2×447814319234492 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44781431923439) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 227316913219 + ... + 227316913415.

Almost surely, 244781431923449 is an apocalyptic number.

44781431923449 is the 6691893-rd square number.

44781431923449 is the 3345947-th centered octagonal number.

It is an amenable number.

44781431923449 is a deficient number, since it is larger than the sum of its proper divisors (26717454366018).

44781431923449 is an frugal number, since it uses more digits than its factorization.

44781431923449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 280 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 44781431923449 in words is "forty-four trillion, seven hundred eighty-one billion, four hundred thirty-one million, nine hundred twenty-three thousand, four hundred forty-nine".

Divisors: 1 3 9 13 39 67 117 169 197 201 507 591 603 871 1521 1773 2197 2561 2613 4489 6591 7683 7839 11323 13199 13467 19773 23049 28561 33293 33969 38809 39597 40401 58357 85683 99879 101907 116427 118791 147199 171587 175071 257049 299637 349281 432809 441597 504517 514761 525213 758641 884333 1298427 1324791 1513551 1544283 1913587 2230631 2275923 2600203 2652999 3895281 4540653 5626517 5740761 6558721 6691893 6827769 7800609 7958997 9862333 11496329 16879551 17222283 19676163 20075679 23401827 28998203 29586999 33802639 34488987 50638653 59028489 85263373 86994609 88760997 101407917 103466961 128210329 149452277 174213601 255790119 260983827 304223751 376976639 384630987 439434307 448356831 522640803 767370357 1108423849 1130929917 1153892961 1318302921 1345070493 1567922409 1942879601 2264776813 3325271547 3392789751 3954908763 5712645991 5828638803 6794330439 9975814641 17137937973 17485916409 20382991317 25257434813 29442098569 51413813919 74264397883 75772304439 88326295707 222793193649 227316913317 264978887121 382747281397 668379580947 1148241844191 3444725532573 4975714658161 14927143974483 44781431923449