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2114440143102 = 2327671223204797
BaseRepresentation
bin11110110001001110011…
…101000010000011111110
321111010201222011110121200
4132301032131002003332
5234120333134034402
64255205502240330
7305522540446110
oct36611635020376
97433658143550
102114440143102
11745802379151
122a19618860a6
1312451090ac91
14744a763b3b0
153a004cdd21c
hex1ec4e7420fe

2114440143102 has 96 divisors (see below), whose sum is σ = 5318273106432. Its totient is φ = 594619451712.

The previous prime is 2114440143073. The next prime is 2114440143103. The reversal of 2114440143102 is 2013410444112.

2114440143102 is a `hidden beast` number, since 2 + 114 + 4 + 401 + 43 + 102 = 666.

It is a super-2 number, since 2×21144401431022 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114440143103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10222168 + ... + 10426964.

It is an arithmetic number, because the mean of its divisors is an integer number (55398678192).

Almost surely, 22114440143102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114440143102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659136553216).

2114440143102 is an abundant number, since it is smaller than the sum of its proper divisors (3203832963330).

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

2114440143102 is a wasteful number, since it uses less digits than its factorization.

2114440143102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206102 (or 206099 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 2114440143102 its reverse (2013410444112), we get a palindrome (4127850587214).

The spelling of 2114440143102 in words is "two trillion, one hundred fourteen billion, four hundred forty million, one hundred forty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 938 1206 1223 1407 2446 2814 3669 4221 7338 8442 8561 11007 17122 22014 25683 51366 77049 81941 154098 163882 204797 245823 409594 491646 573587 614391 737469 1147174 1228782 1433579 1474938 1720761 1843173 2867158 3441522 3686346 4300737 5162283 8601474 10324566 12902211 13721399 25804422 27442798 41164197 82328394 96049793 123492591 192099586 246985182 250466731 288149379 500933462 576298758 751400193 864448137 1502800386 1728896274 1753267117 2254200579 3506534234 4508401158 5259801351 10519602702 15779404053 16781270977 31558808106 33562541954 50343812931 100687625862 117468896839 151031438793 234937793678 302062877586 352406690517 704813381034 1057220071551 2114440143102