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14100440312 = 2372107379887
BaseRepresentation
bin11010010000111001…
…11010010011111000
31100101200110120210002
431020130322103320
5212334203042222
610251101212132
71006264523300
oct151034722370
940350416702
1014100440312
115a86370562
122896261048
131439377c0a
1497a980600
15577d73392
hex34873a4f8

14100440312 has 96 divisors (see below), whose sum is σ = 31159209600. Its totient is φ = 5964041664.

The previous prime is 14100440273. The next prime is 14100440323. The reversal of 14100440312 is 21304400141.

14100440312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15896333 + ... + 15897219.

It is an arithmetic number, because the mean of its divisors is an integer number (324575100).

Almost surely, 214100440312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14100440312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15579604800).

14100440312 is an abundant number, since it is smaller than the sum of its proper divisors (17058769288).

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

14100440312 is a wasteful number, since it uses less digits than its factorization.

14100440312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14100440312 its reverse (21304400141), we get a palindrome (35404840453).

The spelling of 14100440312 in words is "fourteen billion, one hundred million, four hundred forty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 107 196 214 379 392 428 749 758 856 887 1498 1516 1774 2653 2996 3032 3548 5243 5306 5992 6209 7096 10486 10612 12418 18571 20972 21224 24836 37142 40553 41944 43463 49672 74284 81106 86926 94909 148568 162212 173852 189818 283871 324424 336173 347704 379636 567742 664363 672346 759272 1135484 1328726 1344692 1987097 2270968 2353211 2657452 2689384 3974194 4650541 4706422 5314904 7948388 9301082 9412844 15896776 16472477 18602164 18825688 32944954 35970511 37204328 65889908 71941022 131779816 143882044 251793577 287764088 503587154 1007174308 1762555039 2014348616 3525110078 7050220156 14100440312