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11141100420444 = 22325926711963811
BaseRepresentation
bin1010001000011111110101…
…0101010011110101011100
31110110002010102222201010100
42202013331111103311130
52430013433201423234
635410052331141100
72226626566026441
oct242077525236534
943402112881110
1011141100420444
113605a06815235
1212bb277ba4790
1362a7a7c831b7
142a7336db19c8
15144c13ce6399
hexa21fd553d5c

11141100420444 has 72 divisors (see below), whose sum is σ = 28650288925440. Its totient is φ = 3649387399200.

The previous prime is 11141100420391. The next prime is 11141100420497. The reversal of 11141100420444 is 44402400114111.

11141100420444 is a `hidden beast` number, since 1 + 1 + 1 + 411 + 0 + 0 + 4 + 204 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (11141100420391) and next prime (11141100420497).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4691299 + ... + 6655109.

It is an arithmetic number, because the mean of its divisors is an integer number (397920679520).

Almost surely, 211141100420444 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 11141100420444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14325144462720).

11141100420444 is an abundant number, since it is smaller than the sum of its proper divisors (17509188504996).

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

11141100420444 is a wasteful number, since it uses less digits than its factorization.

11141100420444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966551 (or 1966546 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 11141100420444 its reverse (44402400114111), we get a palindrome (55543500534555).

The spelling of 11141100420444 in words is "eleven trillion, one hundred forty-one billion, one hundred million, four hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 2671 5342 8013 10684 16026 24039 32052 48078 96156 157589 315178 472767 630356 945534 1418301 1891068 1963811 2836602 3927622 5673204 5891433 7855244 11782866 17674299 23565732 35348598 70697196 115864849 231729698 347594547 463459396 695189094 1042783641 1390378188 2085567282 4171134564 5245339181 10490678362 15736017543 20981356724 31472035086 47208052629 62944070172 94416105258 188832210516 309475011679 618950023358 928425035037 1237900046716 1856850070074 2785275105111 3713700140148 5570550210222 11141100420444