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11044403254332 = 22327892811752449
BaseRepresentation
bin1010000010110111100110…
…1110111001010000111100
31110002211112110012201012200
42200231321232321100330
52421422414213114312
635253421231231500
72216634415465320
oct240557156712074
943084473181180
1011044403254332
1135789a578a118
1212a4590378590
13621637808946
142a27a2867980
15142454a1e0dc
hexa0b79bb943c

11044403254332 has 144 divisors (see below), whose sum is σ = 32379387768000. Its totient is φ = 3108982947840.

The previous prime is 11044403254303. The next prime is 11044403254349. The reversal of 11044403254332 is 23345230444011.

11044403254332 is a `hidden beast` number, since 1 + 1 + 0 + 44 + 40 + 3 + 2 + 543 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5426044 + ... + 7178492.

It is an arithmetic number, because the mean of its divisors is an integer number (224856859500).

Almost surely, 211044403254332 is an apocalyptic number.

11044403254332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11044403254332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16189693884000).

11044403254332 is an abundant number, since it is smaller than the sum of its proper divisors (21334984513668).

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

11044403254332 is a wasteful number, since it uses less digits than its factorization.

11044403254332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752836 (or 1752831 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 11044403254332 its reverse (23345230444011), we get a palindrome (34389633698343).

The spelling of 11044403254332 in words is "eleven trillion, forty-four billion, four hundred three million, two hundred fifty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 89 126 178 252 267 281 356 534 562 623 801 843 1068 1124 1246 1602 1686 1869 1967 2492 2529 3204 3372 3738 3934 5058 5607 5901 7476 7868 10116 11214 11802 17703 22428 23604 25009 35406 50018 70812 75027 100036 150054 175063 225081 300108 350126 450162 525189 700252 900324 1050378 1575567 1752449 2100756 3151134 3504898 5257347 6302268 7009796 10514694 12267143 15772041 21029388 24534286 31544082 36801429 49068572 63088164 73602858 110404287 147205716 155967961 220808574 311935922 441617148 467903883 492438169 623871844 935807766 984876338 1091775727 1403711649 1477314507 1871615532 1969752676 2183551454 2807423298 2954629014 3275327181 3447067183 4367102908 4431943521 5614846596 5909258028 6550654362 6894134366 8863887042 9825981543 10341201549 13101308724 13788268732 17727774084 19651963086 20682403098 31023604647 39303926172 41364806196 43826997041 62047209294 87653994082 124094418588 131480991123 175307988164 262961982246 306788979287 394442973369 525923964492 613577958574 788885946738 920366937861 1227155917148 1577771893476 1840733875722 2761100813583 3681467751444 5522201627166 11044403254332