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14145104314032 = 243477717812491
BaseRepresentation
bin1100110111010110100111…
…1010101111111010110000
31212002020222122021212000120
43031311221322233322300
53323223133201022112
650030100552050240
72656643604564636
oct315655172577260
955066878255016
1014145104314032
1145639a569447a
1217054ba993980
137b7b54168ab3
1436c8ab953356
15197e2eccde8c
hexcdd69eafeb0

14145104314032 has 80 divisors (see below), whose sum is σ = 37323880499712. Its totient is φ = 4614111210240.

The previous prime is 14145104314027. The next prime is 14145104314043. The reversal of 14145104314032 is 23041340154141.

It is a junction number, because it is equal to n+sod(n) for n = 14145104313984 and 14145104314002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17003307 + ... + 17815797.

Almost surely, 214145104314032 is an apocalyptic number.

14145104314032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14145104314032 is an abundant number, since it is smaller than the sum of its proper divisors (23178776185680).

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

14145104314032 is a wasteful number, since it uses less digits than its factorization.

14145104314032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820266 (or 820260 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 14145104314032 its reverse (23041340154141), we get a palindrome (37186444468173).

The spelling of 14145104314032 in words is "fourteen trillion, one hundred forty-five billion, one hundred four million, three hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 7717 15434 23151 30868 46302 61736 92604 123472 185208 362699 370416 725398 812491 1088097 1450796 1624982 2176194 2437473 2901592 3249964 4352388 4874946 5803184 6499928 8704776 9749892 12999856 17409552 19499784 38187077 38999568 76374154 114561231 152748308 229122462 305496616 458244924 610993232 916489848 1832979696 6269993047 12539986094 18809979141 25079972188 37619958282 50159944376 75239916564 100319888752 150479833128 294689673209 300959666256 589379346418 884069019627 1178758692836 1768138039254 2357517385672 3536276078508 4715034771344 7072552157016 14145104314032