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2024341302141 = 334119372713033
BaseRepresentation
bin11101011101010100001…
…001001110101101111101
321011112011211022010012000
4131131110021032231331
5231131322333132031
64145545231332513
7266153031105354
oct35352411165575
97145154263160
102024341302141
11710577988414
122883b7981139
13118b8248c932
146dd9b57099b
15379cee3a3e6
hex1d75424eb7d

2024341302141 has 64 divisors (see below), whose sum is σ = 3092574051840. Its totient is φ = 1307920711680.

The previous prime is 2024341302133. The next prime is 2024341302149. The reversal of 2024341302141 is 1412031434202.

2024341302141 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 341 + 302 + 14 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2024341302133) and next prime (2024341302149).

It is not a de Polignac number, because 2024341302141 - 23 = 2024341302133 is a prime.

It is a super-3 number, since 3×20243413021413 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024341302149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155317761 + ... + 155330793.

It is an arithmetic number, because the mean of its divisors is an integer number (48321469560).

Almost surely, 22024341302141 is an apocalyptic number.

It is an amenable number.

2024341302141 is a deficient number, since it is larger than the sum of its proper divisors (1068232749699).

2024341302141 is a wasteful number, since it uses less digits than its factorization.

2024341302141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14003 (or 13997 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2024341302141 its reverse (1412031434202), we get a palindrome (3436372736343).

The spelling of 2024341302141 in words is "two trillion, twenty-four billion, three hundred forty-one million, three hundred two thousand, one hundred forty-one".

Divisors: 1 3 9 27 41 123 193 369 579 727 1107 1737 2181 5211 6543 7913 13033 19629 23739 29807 39099 71217 89421 117297 140311 213651 268263 351891 420933 534353 804789 1262799 1603059 2515369 3788397 4809177 5752751 7546107 9474991 14427531 17258253 22638321 28424973 51774759 67914963 85274919 103130129 155324277 255824757 309390387 388474631 928171161 1165423893 1828673263 2784513483 3496271679 5486019789 10488815037 16458059367 49374178101 74975603783 224926811349 674780434047 2024341302141