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14420103124 = 227192712283
BaseRepresentation
bin11010110111000000…
…10100111111010100
31101012221222010201111
431123200110333110
5214013021244444
610342520504404
71020225565660
oct153340247724
941187863644
1014420103124
11612a8549a9
12296531b104
13148a66b7cb
149ab1d18a0
15595e68234
hex35b814fd4

14420103124 has 108 divisors (see below), whose sum is σ = 30981834912. Its totient is φ = 5751920160.

The previous prime is 14420103119. The next prime is 14420103167. The reversal of 14420103124 is 42130102441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14420103095 and 14420103104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50954287 + ... + 50954569.

Almost surely, 214420103124 is an apocalyptic number.

14420103124 is a gapful number since it is divisible by the number (14) 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 14420103124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15490917456).

14420103124 is an abundant number, since it is smaller than the sum of its proper divisors (16561731788).

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

14420103124 is a wasteful number, since it uses less digits than its factorization.

14420103124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14420103124 its reverse (42130102441), we get a palindrome (56550205565).

The spelling of 14420103124 in words is "fourteen billion, four hundred twenty million, one hundred three thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 71 76 133 142 266 283 284 361 497 532 566 722 994 1132 1349 1444 1981 1988 2527 2698 3962 5041 5054 5377 5396 7924 9443 10082 10108 10754 18886 20093 20164 21508 25631 35287 37639 37772 40186 51262 70574 75278 80372 95779 102163 102524 140651 141148 150556 179417 191558 204326 281302 358834 381767 383116 408652 562604 670453 715141 717668 763534 1340906 1426603 1430282 1527068 1819801 2672369 2681812 2853206 2860564 3639602 5344738 5706412 7253573 7279204 9986221 10689476 12738607 14507146 19972442 25477214 27105457 29014292 39944884 50775011 50954428 54210914 101550022 108421828 189738199 203100044 379476398 515003683 758952796 1030007366 2060014732 3605025781 7210051562 14420103124