Search a number
-
+
11024522334144 = 2632111739981429
BaseRepresentation
bin1010000001101101100010…
…1111001100111111000000
31110000221012220202022202100
42200123120233030333000
52421111210204143034
635240332354150400
72215331640451014
oct240333057147700
943027186668670
1011024522334144
1135705234a3570
1212a0762282400
1361c7b99c5147
142a18382dc544
15141b8e476099
hexa06d8bccfc0

11024522334144 has 84 divisors (see below), whose sum is σ = 34472512091160. Its totient is φ = 3340764341760.

The previous prime is 11024522334143. The next prime is 11024522334167. The reversal of 11024522334144 is 44143322542011.

11024522334144 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 4 + 5 + 2 + 233 + 414 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11024522334099 and 11024522334108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11024522334143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 869984379 + ... + 869997050.

Almost surely, 211024522334144 is an apocalyptic number.

It is an amenable number.

11024522334144 is an abundant number, since it is smaller than the sum of its proper divisors (23447989757016).

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

11024522334144 is a wasteful number, since it uses less digits than its factorization.

11024522334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739981458 (or 1739981445 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 11024522334144 its reverse (44143322542011), we get a palindrome (55167844876155).

The spelling of 11024522334144 in words is "eleven trillion, twenty-four billion, five hundred twenty-two million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 1739981429 3479962858 5219944287 6959925716 10439888574 13919851432 15659832861 19139795719 20879777148 27839702864 31319665722 38279591438 41759554296 55679405728 57419387157 62639331444 76559182876 83519108592 111358811456 114838774314 125278662888 153118365752 167038217184 172258161471 229677548628 250557325776 306236731504 334076434368 344516322942 459355097256 501114651552 612473463008 689032645884 918710194512 1002229303104 1224946926016 1378065291768 1837420389024 2756130583536 3674840778048 5512261167072 11024522334144