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14050332312 = 23317411137433
BaseRepresentation
bin11010001010111011…
…10000111010011000
31100021012011211112020
431011131300322120
5212233341113222
610242111214440
71005115565652
oct150535607230
940235154466
1014050332312
115a60056695
122881517420
13142bb82603
149740596d2
1557377665c
hex345770e98

14050332312 has 128 divisors (see below), whose sum is σ = 38441511360. Its totient is φ = 4261806080.

The previous prime is 14050332311. The next prime is 14050332313. The reversal of 14050332312 is 21323305041.

14050332312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14050332311) and next prime (14050332313).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14050332311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1886548 + ... + 1893980.

Almost surely, 214050332312 is an apocalyptic number.

14050332312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14050332312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19220755680).

14050332312 is an abundant number, since it is smaller than the sum of its proper divisors (24391179048).

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

14050332312 is a wasteful number, since it uses less digits than its factorization.

14050332312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7613 (or 7609 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 14050332312 its reverse (21323305041), we get a palindrome (35373637353).

The spelling of 14050332312 in words is "fourteen billion, fifty million, three hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 113 123 136 164 204 226 246 328 339 408 452 492 678 697 904 984 1356 1394 1921 2091 2712 2788 3842 4182 4633 5576 5763 7433 7684 8364 9266 11526 13899 14866 15368 16728 18532 22299 23052 27798 29732 37064 44598 46104 55596 59464 78761 89196 111192 126361 157522 178392 236283 252722 304753 315044 379083 472566 505444 609506 630088 758166 839929 914259 945132 1010888 1219012 1516332 1679858 1828518 1890264 2438024 2519787 3032664 3359716 3657036 5039574 5180801 6719432 7314072 10079148 10361602 14278793 15542403 20158296 20723204 28557586 31084806 34437089 41446408 42836379 57115172 62169612 68874178 85672758 103311267 114230344 124339224 137748356 171345516 206622534 275496712 342691032 413245068 585430513 826490136 1170861026 1756291539 2341722052 3512583078 4683444104 7025166156 14050332312