Search a number
-
+
10241424233400 = 23352105541161729
BaseRepresentation
bin1001010100001000010001…
…1101000001001110111000
31100021001220110112000202110
42111002010131001032320
52320243414100432100
633440502332132320
72104630016435133
oct225020435011670
940231813460673
1010241424233400
1132993aaa93958
121194a343070a0
135939ba6119b9
1427598a9db21a
1512b609e2e250
hex950847413b8

10241424233400 has 96 divisors (see below), whose sum is σ = 31748912247600. Its totient is φ = 2731003699200.

The previous prime is 10241424233347. The next prime is 10241424233419. The reversal of 10241424233400 is 433242414201.

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

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 23 ways as a sum of consecutive naturals, for example, 63243736 + ... + 63405464.

Almost surely, 210241424233400 is an apocalyptic number.

10241424233400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10241424233400 is an abundant number, since it is smaller than the sum of its proper divisors (21507488014200).

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

10241424233400 is a wasteful number, since it uses less digits than its factorization.

10241424233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267289 (or 267280 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 10241424233400 its reverse (433242414201), we get a palindrome (10674666647601).

The spelling of 10241424233400 in words is "ten trillion, two hundred forty-one billion, four hundred twenty-four million, two hundred thirty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 105541 161729 211082 316623 323458 422164 485187 527705 633246 646916 808645 844328 970374 1055410 1266492 1293832 1583115 1617290 1940748 2110820 2425935 2532984 2638525 3166230 3234580 3881496 4043225 4221640 4851870 5277050 6332460 6469160 7915575 8086450 9703740 10554100 12129675 12664920 15831150 16172900 19407480 21108200 24259350 31662300 32345800 48518700 63324600 97037400 17069040389 34138080778 51207121167 68276161556 85345201945 102414242334 136552323112 170690403890 204828484668 256035605835 341380807780 409656969336 426726009725 512071211670 682761615560 853452019450 1024142423340 1280178029175 1706904038900 2048284846680 2560356058350 3413808077800 5120712116700 10241424233400