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14121184374 = 232112328310957
BaseRepresentation
bin11010010011011000…
…00010110001110110
31100110010111111021200
431021230002301312
5212410010344444
610253121553330
71006636041513
oct151154026166
940403444250
1014121184374
115a97049910
1228a11a5846
13144075bbcb
1497d62030a
15579abe969
hex349b02c76

14121184374 has 96 divisors (see below), whose sum is σ = 34954792704. Its totient is φ = 4078261440.

The previous prime is 14121184367. The next prime is 14121184409. The reversal of 14121184374 is 47348112141.

14121184374 is a `hidden beast` number, since 1 + 4 + 1 + 211 + 8 + 437 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1283304 + ... + 1294260.

It is an arithmetic number, because the mean of its divisors is an integer number (364112424).

Almost surely, 214121184374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14121184374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17477396352).

14121184374 is an abundant number, since it is smaller than the sum of its proper divisors (20833608330).

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

14121184374 is a wasteful number, since it uses less digits than its factorization.

14121184374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11282 (or 11279 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The spelling of 14121184374 in words is "fourteen billion, one hundred twenty-one million, one hundred eighty-four thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 283 414 506 566 759 849 1518 1698 2277 2547 3113 4554 5094 6226 6509 9339 10957 13018 18678 19527 21914 28017 32871 39054 56034 58581 65742 71599 98613 117162 120527 143198 197226 214797 241054 252011 361581 429594 504022 644391 723162 756033 1084743 1288782 1512066 2169486 2268099 2772121 3100831 4536198 5544242 6201662 8316363 9302493 16632726 18604986 24949089 27907479 34109141 49898178 55814958 68218282 71319113 102327423 142638226 204654846 213957339 306982269 427914678 613964538 641872017 784510243 1283744034 1569020486 2353530729 4707061458 7060592187 14121184374