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14141414120 = 2352117872129
BaseRepresentation
bin11010010101110010…
…01101101011101000
31100111112120021021112
431022321031223220
5212430200222440
610255123325452
71010303015411
oct151271155350
940445507245
1014141414120
115aa7506809
1228a7b20888
1314449c2a82
149821a8808
1557b768965
hex34ae4dae8

14141414120 has 64 divisors (see below), whose sum is σ = 32024635200. Its totient is φ = 5619962880.

The previous prime is 14141414117. The next prime is 14141414123. The reversal of 14141414120 is 2141414141.

It is an interprime number because it is at equal distance from previous prime (14141414117) and next prime (14141414123).

It is not an unprimeable number, because it can be changed into a prime (14141414123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6641216 + ... + 6643344.

It is an arithmetic number, because the mean of its divisors is an integer number (500384925).

Almost surely, 214141414120 is an apocalyptic number.

14141414120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14141414120 is an abundant number, since it is smaller than the sum of its proper divisors (17883221080).

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

14141414120 is a wasteful number, since it uses less digits than its factorization.

14141414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 14141414120 its reverse (2141414141), we get a palindrome (16282828261).

The spelling of 14141414120 in words is "fourteen billion, one hundred forty-one million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 211 422 787 844 1055 1574 1688 2110 2129 3148 3935 4220 4258 6296 7870 8440 8516 10645 15740 17032 21290 31480 42580 85160 166057 332114 449219 664228 830285 898438 1328456 1660570 1675523 1796876 2246095 3321140 3351046 3593752 4492190 6642280 6702092 8377615 8984380 13404184 16755230 17968760 33510460 67020920 353535353 707070706 1414141412 1767676765 2828282824 3535353530 7070707060 14141414120