Search a number
-
+
1830129412430 = 2511131127004123
BaseRepresentation
bin11010101000011100001…
…101101010100101001110
320110221212212100220022202
4122220130031222211032
5214441101112144210
63520425544441502
7246136212222434
oct32503415524516
96427785326282
101830129412430
11646176384140
12256836779292
1310377137b4b7
14648160a2d54
1532914be69a5
hex1aa1c36a94e

1830129412430 has 32 divisors (see below), whose sum is σ = 3621141583488. Its totient is φ = 660421434400.

The previous prime is 1830129412427. The next prime is 1830129412439. The reversal of 1830129412430 is 342149210381.

It is a super-4 number, since 4×18301294124304 (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830129412439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63487652 + ... + 63516471.

It is an arithmetic number, because the mean of its divisors is an integer number (113160674484).

Almost surely, 21830129412430 is an apocalyptic number.

1830129412430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1830129412430 is a deficient number, since it is larger than the sum of its proper divisors (1791012171058).

1830129412430 is a wasteful number, since it uses less digits than its factorization.

1830129412430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127004272.

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 1830129412430 in words is "one trillion, eight hundred thirty billion, one hundred twenty-nine million, four hundred twelve thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 55 110 131 262 655 1310 1441 2882 7205 14410 127004123 254008246 635020615 1270041230 1397045353 2794090706 6985226765 13970453530 16637540113 33275080226 83187700565 166375401130 183012941243 366025882486 915064706215 1830129412430