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4103442211414 = 27131931359106627
BaseRepresentation
bin111011101101101000001…
…101110010001001010110
3112112021200221110111112111
4323231220031302021112
51014212322201231124
612421032331341234
7602315060204320
oct73555015621126
915467627414474
104103442211414
111342295174097
125633365b181a
13239c507c0260
141028715d8610
1571b174d9494
hex3bb68372256

4103442211414 has 128 divisors (see below), whose sum is σ = 8254542643200. Its totient is φ = 1484131559040.

The previous prime is 4103442211411. The next prime is 4103442211417. The reversal of 4103442211414 is 4141122443014.

It is an interprime number because it is at equal distance from previous prime (4103442211411) and next prime (4103442211417).

It is a super-3 number, since 3×41034422114143 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4103442211411) 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, 38430769 + ... + 38537395.

It is an arithmetic number, because the mean of its divisors is an integer number (64488614400).

Almost surely, 24103442211414 is an apocalyptic number.

4103442211414 is an abundant number, since it is smaller than the sum of its proper divisors (4151100431786).

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

4103442211414 is a wasteful number, since it uses less digits than its factorization.

4103442211414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107058.

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 4103442211414 its reverse (4141122443014), we get a palindrome (8244564654428).

The spelling of 4103442211414 in words is "four trillion, one hundred three billion, four hundred forty-two million, two hundred eleven thousand, four hundred fourteen".

Divisors: 1 2 7 13 14 19 26 31 38 62 91 133 182 217 247 266 359 403 434 494 589 718 806 1178 1729 2513 2821 3458 4123 4667 5026 5642 6821 7657 8246 9334 11129 13642 15314 22258 32669 47747 53599 65338 77903 88673 95494 106627 107198 144677 155806 177346 211451 213254 289354 422902 620711 746389 1012739 1241422 1386151 1480157 1492778 2025478 2025913 2748863 2772302 2960314 3305437 4051826 5497726 6610874 9703057 14181391 19242041 19406114 23138059 26336869 28362782 38279093 38484082 42970681 46276118 52673738 62803303 76558186 85941362 125606606 184358083 267953651 300794767 368716166 439623121 497628209 535907302 601589534 727302767 816442939 879246242 995256418 1186651883 1454605534 1632885878 2373303766 3483397463 5091119369 5715100573 6966794926 8306563181 9454935971 10182238738 11430201146 15426474479 16613126362 18909871942 22546385777 30852948958 45092771554 66184551797 107985321353 132369103594 157824700439 215970642706 293103015101 315649400878 586206030202 2051721105707 4103442211414