Search a number
-
+
24202004142 = 23103149433607
BaseRepresentation
bin10110100010100011…
…010100011010101110
32022110200100012021210
4112202203110122232
5344031203113032
615041312535250
71514514432561
oct264243243256
968420305253
1024202004142
11a29a444a18
124835251526
132389105914
1412583c04d8
15969ae42cc
hex5a28d46ae

24202004142 has 64 divisors (see below), whose sum is σ = 49396838400. Its totient is φ = 7904024064.

The previous prime is 24202004131. The next prime is 24202004149. The reversal of 24202004142 is 24140020242.

It is a super-3 number, since 3×242020041423 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24202004149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 39871203 + ... + 39871809.

It is an arithmetic number, because the mean of its divisors is an integer number (771825600).

Almost surely, 224202004142 is an apocalyptic number.

24202004142 is an abundant number, since it is smaller than the sum of its proper divisors (25194834258).

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

24202004142 is a wasteful number, since it uses less digits than its factorization.

24202004142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297.

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 24202004142 its reverse (24140020242), we get a palindrome (48342024384).

The spelling of 24202004142 in words is "twenty-four billion, two hundred two million, four thousand, one hundred forty-two".

Divisors: 1 2 3 6 103 149 206 298 309 433 447 607 618 866 894 1214 1299 1821 2598 3642 15347 30694 44599 46041 62521 64517 89198 90443 92082 125042 129034 133797 180886 187563 193551 262831 267594 271329 375126 387102 525662 542658 788493 1576986 6645251 9315629 13290502 18631258 19935753 27071593 27946887 39161819 39871506 54143186 55893774 78323638 81214779 117485457 162429558 234970914 4033667357 8067334714 12101002071 24202004142