Search a number
-
+
14131105824 = 2531143311203
BaseRepresentation
bin11010010100100011…
…11001000000100000
31100110211011112221210
431022101321000200
5212420030341244
610254114350120
71010116263153
oct151221710040
940424145853
1014131105824
115aa1705a60
1228a458b340
131442823aa4
14980a83c9a
1557a8ce4b9
hex34a479020

14131105824 has 96 divisors (see below), whose sum is σ = 41407559424. Its totient is φ = 4182554880.

The previous prime is 14131105817. The next prime is 14131105843. The reversal of 14131105824 is 42850113141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 14131105791 and 14131105800.

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, 110194 + ... + 201009.

It is an arithmetic number, because the mean of its divisors is an integer number (431328744).

Almost surely, 214131105824 is an apocalyptic number.

It is an amenable number.

14131105824 is an abundant number, since it is smaller than the sum of its proper divisors (27276453600).

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

14131105824 is a wasteful number, since it uses less digits than its factorization.

14131105824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311270 (or 311262 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 14131105824 its reverse (42850113141), we get a palindrome (56981218965).

The spelling of 14131105824 in words is "fourteen billion, one hundred thirty-one million, one hundred five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 66 86 88 96 129 132 172 176 258 264 344 352 473 516 528 688 946 1032 1056 1376 1419 1892 2064 2838 3784 4128 5676 7568 11352 15136 22704 45408 311203 622406 933609 1244812 1867218 2489624 3423233 3734436 4979248 6846466 7468872 9958496 10269699 13381729 13692932 14937744 20539398 26763458 27385864 29875488 40145187 41078796 53526916 54771728 80290374 82157592 107053832 109543456 147199019 160580748 164315184 214107664 294398038 321161496 328630368 428215328 441597057 588796076 642322992 883194114 1177592152 1284645984 1766388228 2355184304 3532776456 4710368608 7065552912 14131105824