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2413424104311 = 3111726932034993
BaseRepresentation
bin100011000111101011010…
…010010101001101110111
322112201110200020101011110
4203013223102111031313
5304020143032314221
65044413422210103
7336235620260313
oct43075322251567
98481420211143
102413424104311
11850588a97470
1232b8a2a23933
1314677b0a52ac
1484b4b858b43
1542ba319d776
hex231eb495377

2413424104311 has 64 divisors (see below), whose sum is σ = 3732661025280. Its totient is φ = 1370820771840.

The previous prime is 2413424104309. The next prime is 2413424104313. The reversal of 2413424104311 is 1134014243142.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2413424104309) and next prime (2413424104313).

It is not a de Polignac number, because 2413424104311 - 21 = 2413424104309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413424104313) 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, 483359031 + ... + 483364023.

It is an arithmetic number, because the mean of its divisors is an integer number (58322828520).

Almost surely, 22413424104311 is an apocalyptic number.

2413424104311 is a deficient number, since it is larger than the sum of its proper divisors (1319236920969).

2413424104311 is a wasteful number, since it uses less digits than its factorization.

2413424104311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8496.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 2413424104311 its reverse (1134014243142), we get a palindrome (3547438347453).

The spelling of 2413424104311 in words is "two trillion, four hundred thirteen billion, four hundred twenty-four million, one hundred four thousand, three hundred eleven".

Divisors: 1 3 11 17 33 51 187 269 561 807 2959 3203 4573 4993 8877 9609 13719 14979 35233 50303 54451 54923 84881 105699 150909 163353 164769 254643 598961 861607 933691 1343117 1796883 2584821 2801073 4029351 9477677 14647319 14774287 15992579 22832989 28433031 43941957 44322861 47977737 68498967 161120509 175918369 251162879 271873843 483361527 527755107 753488637 815621529 2990612273 4302003751 8971836819 12906011253 47322041261 73134063767 141966123783 219402191301 804474701437 2413424104311