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11144443103140 = 22553223206922787
BaseRepresentation
bin1010001000101100010010…
…0100101000011110100100
31110110101202101211120202011
42202023010210220132210
52430042304413300030
635411404140324004
72230105455252154
oct242130444503644
943411671746664
1011144443103140
113607371662216
1212bba4b543604
1362abbb65b159
142a7572cdc764
15144d5c4cab2a
hexa22c49287a4

11144443103140 has 96 divisors (see below), whose sum is σ = 23964458757120. Its totient is φ = 4351759965696.

The previous prime is 11144443103107. The next prime is 11144443103141. The reversal of 11144443103140 is 4130134444111.

It is a happy number.

It is a super-2 number, since 2×111444431031402 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11144443103141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489058827 + ... + 489081613.

It is an arithmetic number, because the mean of its divisors is an integer number (249629778720).

Almost surely, 211144443103140 is an apocalyptic number.

11144443103140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11144443103140 is an abundant number, since it is smaller than the sum of its proper divisors (12820015653980).

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

11144443103140 is a wasteful number, since it uses less digits than its factorization.

11144443103140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25141 (or 25139 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 11144443103140 its reverse (4130134444111), we get a palindrome (15274577547251).

The spelling of 11144443103140 in words is "eleven trillion, one hundred forty-four billion, four hundred forty-three million, one hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 223 265 446 530 892 1060 1115 2069 2230 4138 4460 8276 10345 11819 20690 22787 23638 41380 45574 47276 59095 91148 109657 113935 118190 219314 227870 236380 438628 455740 461387 548285 922774 1096570 1207711 1845548 2193140 2306935 2415422 4613870 4830844 5081501 6038555 9227740 10163002 12077110 20326004 24154220 24453511 25407505 47146303 48907022 50815010 94292606 97814044 101630020 122267555 188585212 235731515 244535110 269319553 471463030 489070220 538639106 942926060 1077278212 1346597765 2498754059 2693195530 4997508118 5386391060 9995016236 10513625569 12493770295 21027251138 24987540590 42054502276 49975081180 52568127845 105136255690 210272511380 557222155157 1114444310314 2228888620628 2786110775785 5572221551570 11144443103140