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4113024241311 = 321931492391871
BaseRepresentation
bin111011110110100011010…
…110010100111010011111
3112120012102201202001110200
4323312203112110322133
51014341433201210221
612425255223434543
7603104401131456
oct73664326247237
915505381661420
104113024241311
111346361a59a67
1256516b5b5a53
1323ab19a1692b
14103100039b9d
1571ec8834426
hex3bda3594e9f

4113024241311 has 96 divisors (see below), whose sum is σ = 6342935040000. Its totient is φ = 2568095893440.

The previous prime is 4113024241307. The next prime is 4113024241331. The reversal of 4113024241311 is 1131424203114.

It is a happy number.

4113024241311 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 0 + 242 + 413 + 1 + 1 = 666.

It is not a de Polignac number, because 4113024241311 - 22 = 4113024241307 is a prime.

It is a super-3 number, since 3×41130242413113 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113024241331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2198301706 + ... + 2198303576.

It is an arithmetic number, because the mean of its divisors is an integer number (66072240000).

Almost surely, 24113024241311 is an apocalyptic number.

4113024241311 is a deficient number, since it is larger than the sum of its proper divisors (2229910798689).

4113024241311 is a wasteful number, since it uses less digits than its factorization.

4113024241311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 4113024241311 its reverse (1131424203114), we get a palindrome (5244448444425).

The spelling of 4113024241311 in words is "four trillion, one hundred thirteen billion, twenty-four million, two hundred forty-one thousand, three hundred eleven".

Divisors: 1 3 9 19 57 149 171 239 361 447 717 1083 1341 1871 2151 2831 3249 4541 5613 6859 8493 13623 16839 20577 25479 35549 35611 40869 53789 61731 86279 106647 106833 161367 258837 278779 319941 320499 447169 484101 675431 676609 776511 836337 1021991 1341507 1639301 2026293 2029827 2509011 3065973 4024521 4917903 5296801 6078879 6089481 8496211 9197919 12833189 12855571 14753709 15890403 25488633 38499567 38566713 47671209 66628181 76465899 100639219 115498701 115700139 161428009 199884543 244255849 301917657 484284027 599653629 732767547 905752971 1265935439 1452852081 1912145161 2198302641 3067132171 3797806317 5736435483 9201396513 11393418951 17209306449 24052773341 27604189539 72158320023 216474960069 457002693479 1371008080437 4113024241311