Search a number
-
+
10555123440000 = 2735443979681
BaseRepresentation
bin1001100110011000111001…
…1000100001100110000000
31101101001121200220212002210
42121212032120201212000
52340413343100040000
634240542354542120
72136403540623366
oct231461630414600
941331550825083
1010555123440000
1133aa4480128a7
1212257a1597940
135b74616344c9
14286c292b7636
1513486a107350
hex9998e621980

10555123440000 has 160 divisors (see below), whose sum is σ = 35035094274840. Its totient is φ = 2814699520000.

The previous prime is 10555123439957. The next prime is 10555123440047. The reversal of 10555123440000 is 4432155501.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×105551234400002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 10555123440000.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 21749841 + ... + 22229840.

Almost surely, 210555123440000 is an apocalyptic number.

10555123440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10555123440000 is an abundant number, since it is smaller than the sum of its proper divisors (24479970834840).

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

10555123440000 is an frugal number, since it uses more digits than its factorization.

10555123440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43979718 (or 43979691 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 10555123440000 its reverse (4432155501), we get a palindrome (10559555595501).

The spelling of 10555123440000 in words is "ten trillion, five hundred fifty-five billion, one hundred twenty-three million, four hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 120000 240000 43979681 87959362 131939043 175918724 219898405 263878086 351837448 439796810 527756172 659695215 703674896 879593620 1055512344 1099492025 1319390430 1407349792 1759187240 2111024688 2198984050 2638780860 2814699584 3298476075 3518374480 4222049376 4397968100 5277561720 5497460125 5629399168 6596952150 7036748960 8444098752 8795936200 10555123440 10994920250 13193904300 14073497920 16492380375 16888197504 17591872400 21110246880 21989840500 26387808600 27487300625 28146995840 32984760750 35183744800 42220493760 43979681000 52775617200 54974601250 65969521500 70367489600 82461901875 84440987520 87959362000 105551234400 109949202500 131939043000 140734979200 164923803750 175918724000 211102468800 219898405000 263878086000 329847607500 351837448000 422204937600 439796810000 527756172000 659695215000 703674896000 879593620000 1055512344000 1319390430000 1759187240000 2111024688000 2638780860000 3518374480000 5277561720000 10555123440000