Search a number
-
+
10041142430 = 25112312893079
BaseRepresentation
bin10010101100111111…
…11010110010011110
3221220210011212221002
421112133322302132
5131031013024210
64340212310302
7503554205504
oct112637726236
927823155832
1010041142430
114292a65a20
121b42912392
13c40393cc7
146b37d2674
153db7d84a5
hex2567fac9e

10041142430 has 64 divisors (see below), whose sum is σ = 20597068800. Its totient is φ = 3488728320.

The previous prime is 10041142427. The next prime is 10041142493. The reversal of 10041142430 is 3424114001.

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, 3259631 + ... + 3262709.

It is an arithmetic number, because the mean of its divisors is an integer number (321829200).

Almost surely, 210041142430 is an apocalyptic number.

10041142430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10041142430 is an abundant number, since it is smaller than the sum of its proper divisors (10555926370).

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

10041142430 is a wasteful number, since it uses less digits than its factorization.

10041142430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10041142430 its reverse (3424114001), we get a palindrome (13465256431).

The spelling of 10041142430 in words is "ten billion, forty-one million, one hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 23 46 55 110 115 230 253 506 1265 1289 2530 2578 3079 6158 6445 12890 14179 15395 28358 29647 30790 33869 59294 67738 70817 70895 141634 141790 148235 169345 296470 326117 338690 354085 652234 708170 778987 1557974 1630585 3261170 3894935 3968831 7789870 7937662 19844155 39688310 43657141 87314282 91283113 182566226 218285705 436571410 456415565 912831130 1004114243 2008228486 5020571215 10041142430