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14142435105345 = 35191272271721273
BaseRepresentation
bin1100110111001100101011…
…0100100001101001000001
31212002000002121201000001120
43031303022310201221001
53323202201341332340
650024540041422453
72656520503644261
oct315631264415101
955060077630046
1014142435105345
114562855a19488
121704a94a9aa29
137b781a173581
1436c6d72577a1
15197d257cc4d0
hexcdccad21a41

14142435105345 has 64 divisors (see below), whose sum is σ = 24112156999680. Its totient is φ = 7058151571968.

The previous prime is 14142435105319. The next prime is 14142435105373. The reversal of 14142435105345 is 54350153424141.

It is not a de Polignac number, because 14142435105345 - 222 = 14142430911041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14142435105297 and 14142435105306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7355629 + ... + 9076901.

It is an arithmetic number, because the mean of its divisors is an integer number (376752453120).

Almost surely, 214142435105345 is an apocalyptic number.

14142435105345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14142435105345 is a deficient number, since it is larger than the sum of its proper divisors (9969721894335).

14142435105345 is a wasteful number, since it uses less digits than its factorization.

14142435105345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721654.

The product of its (nonzero) digits is 576000, while the sum is 42.

Adding to 14142435105345 its reverse (54350153424141), we get a palindrome (68492588529486).

The spelling of 14142435105345 in words is "fourteen trillion, one hundred forty-two billion, four hundred thirty-five million, one hundred five thousand, three hundred forty-five".

Divisors: 1 3 5 15 19 57 95 127 227 285 381 635 681 1135 1905 2413 3405 4313 7239 12065 12939 21565 28829 36195 64695 86487 144145 432435 547751 1643253 1721273 2738755 5163819 8216265 8606365 25819095 32704187 98112561 163520935 218601671 390728971 490562805 655805013 1093008355 1172186913 1953644855 3279025065 4153431749 5860934565 7423850449 12460295247 20767158745 22271551347 37119252245 49622579317 62301476235 111357756735 148867737951 248112896585 744338689755 942829007023 2828487021069 4714145035115 14142435105345