Search a number
-
+
24204132233031 = 343477397563777
BaseRepresentation
bin1011000000011011101101…
…01101000010111101000111
310011200220002120222002011010
411200031312231002331013
511133030030322424111
6123251120322213303
75045455650256452
oct540156655027507
9104626076862133
1024204132233031
117791a07710723
12286ab0aab4233
13106759453b02a
145d96b43b4499
152be911e5aaa6
hex160376b42f47

24204132233031 has 64 divisors (see below), whose sum is σ = 34539800537088. Its totient is φ = 15057311367168.

The previous prime is 24204132233011. The next prime is 24204132233089. The reversal of 24204132233031 is 13033223140242.

It is a happy number.

It is not a de Polignac number, because 24204132233031 - 223 = 24204123844423 is a prime.

It is a super-2 number, since 2×242041322330312 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 24204132233031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24204132233011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42650215 + ... + 43213991.

It is an arithmetic number, because the mean of its divisors is an integer number (539684383392).

Almost surely, 224204132233031 is an apocalyptic number.

24204132233031 is a deficient number, since it is larger than the sum of its proper divisors (10335668304057).

24204132233031 is a wasteful number, since it uses less digits than its factorization.

24204132233031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564040.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 24204132233031 its reverse (13033223140242), we get a palindrome (37237355373273).

The spelling of 24204132233031 in words is "twenty-four trillion, two hundred four billion, one hundred thirty-two million, two hundred thirty-three thousand, thirty-one".

Divisors: 1 3 43 47 73 97 129 141 219 291 2021 3139 3431 4171 4559 6063 7081 9417 10293 12513 13677 21243 147533 196037 304483 332807 442599 563777 588111 913449 998421 1691331 14310701 24242411 26497519 41155721 42932103 54686369 72727233 79492557 123467163 164059107 1139393317 1769696003 1934318887 2351513867 2570259343 3418179951 3992104937 5309088009 5802956661 7054541601 7710778029 11976314811 83175712141 110521151749 171660512291 187628932039 249527136423 331563455247 514981536873 562886796117 8068044077677 24204132233031