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14122240224 = 253227648047
BaseRepresentation
bin11010010011100000…
…00100100011100000
31100110012111010122020
431021300010203200
5212410243141344
610253200341440
71006651030011
oct151160044340
940405433566
1014122240224
115a97700114
1228a1614880
131440a3b681
1497d817008
15579c2c719
hex349c048e0

14122240224 has 48 divisors (see below), whose sum is σ = 37234245888. Its totient is φ = 4686668672.

The previous prime is 14122240217. The next prime is 14122240241. The reversal of 14122240224 is 42204222141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 14122240194 and 14122240203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302232 + ... + 345815.

It is an arithmetic number, because the mean of its divisors is an integer number (775713456).

Almost surely, 214122240224 is an apocalyptic number.

It is an amenable number.

14122240224 is an abundant number, since it is smaller than the sum of its proper divisors (23112005664).

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

14122240224 is a wasteful number, since it uses less digits than its factorization.

14122240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648287 (or 648279 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14122240224 its reverse (42204222141), we get a palindrome (56326462365).

The spelling of 14122240224 in words is "fourteen billion, one hundred twenty-two million, two hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 454 681 908 1362 1816 2724 3632 5448 7264 10896 21792 648047 1296094 1944141 2592188 3888282 5184376 7776564 10368752 15553128 20737504 31106256 62212512 147106669 294213338 441320007 588426676 882640014 1176853352 1765280028 2353706704 3530560056 4707413408 7061120112 14122240224