Search a number
-
+
10144330633500 = 223537966126727
BaseRepresentation
bin1001001110011110100100…
…1110010101000100011100
31022220210021211210002220220
42103213221032111010130
52312201042120233000
633324124031241340
72064621653444250
oct223475116250434
938823254702826
1010144330633500
1132612061a9208
12117a057979250
135877b5ca413b
14270db997a260
15128d25e4a1a0
hex939e939511c

10144330633500 has 96 divisors (see below), whose sum is σ = 33760332383232. Its totient is φ = 2318704142400.

The previous prime is 10144330633469. The next prime is 10144330633517. The reversal of 10144330633500 is 533603344101.

It is a super-2 number, since 2×101443306335002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483052864 + ... + 483073863.

It is an arithmetic number, because the mean of its divisors is an integer number (351670128992).

Almost surely, 210144330633500 is an apocalyptic number.

10144330633500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144330633500 is an abundant number, since it is smaller than the sum of its proper divisors (23616001749732).

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

10144330633500 is a wasteful number, since it uses less digits than its factorization.

10144330633500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966126756 (or 966126744 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 10144330633500 its reverse (533603344101), we get a palindrome (10677933977601).

The spelling of 10144330633500 in words is "ten trillion, one hundred forty-four billion, three hundred thirty million, six hundred thirty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 210 250 300 350 375 420 500 525 700 750 875 1050 1500 1750 2100 2625 3500 5250 10500 966126727 1932253454 2898380181 3864506908 4830633635 5796760362 6762887089 9661267270 11593520724 13525774178 14491900905 19322534540 20288661267 24153168175 27051548356 28983801810 33814435445 40577322534 48306336350 57967603620 67628870890 72459504525 81154645068 96612672700 101443306335 120765840875 135257741780 144919009050 169072177225 202886612670 241531681750 289838018100 338144354450 362297522625 405773225340 483063363500 507216531675 676288708900 724595045250 845360886125 1014433063350 1449190090500 1690721772250 2028866126700 2536082658375 3381443544500 5072165316750 10144330633500