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14141122424 = 23111389138889
BaseRepresentation
bin11010010101110000…
…00110011101111000
31100111112000110010222
431022320012131320
5212430111404144
610255113155212
71010300362112
oct151270063570
940445013128
1014141122424
115aa7327640
1228a79bbb08
131444920080
149821303b2
1557b70c2ee
hex34ae06778

14141122424 has 64 divisors (see below), whose sum is σ = 31500252000. Its totient is φ = 5866629120.

The previous prime is 14141122363. The next prime is 14141122433. The reversal of 14141122424 is 42422114141.

14141122424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14141122393 and 14141122402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32372 + ... + 171260.

Almost surely, 214141122424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14141122424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15750126000).

14141122424 is an abundant number, since it is smaller than the sum of its proper divisors (17359129576).

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

14141122424 is a wasteful number, since it uses less digits than its factorization.

14141122424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139008 (or 139004 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

Adding to 14141122424 its reverse (42422114141), we get a palindrome (56563236565).

The spelling of 14141122424 in words is "fourteen billion, one hundred forty-one million, one hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 89 104 143 178 286 356 572 712 979 1144 1157 1958 2314 3916 4628 7832 9256 12727 25454 50908 101816 138889 277778 555556 1111112 1527779 1805557 3055558 3611114 6111116 7222228 12222232 12361121 14444456 19861127 24722242 39722254 49444484 79444508 98888968 135972331 158889016 160694573 271944662 321389146 543889324 642778292 1087778648 1285556584 1767640303 3535280606 7070561212 14141122424