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14110113140 = 2252331259541
BaseRepresentation
bin11010010010000011…
…10011110101110100
31100102100200000101222
431021001303311310
5212344142110030
610252044405512
71006442661044
oct151101636564
940370600358
1014110113140
115a90877932
122899546898
13143b383896
1497bd7b724
15578b343e5
hex349073d74

14110113140 has 144 divisors (see below), whose sum is σ = 32550698880. Its totient is φ = 5126457600.

The previous prime is 14110113113. The next prime is 14110113179. The reversal of 14110113140 is 4131101141.

14110113140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 26081270 + ... + 26081810.

It is an arithmetic number, because the mean of its divisors is an integer number (226046520).

Almost surely, 214110113140 is an apocalyptic number.

14110113140 is a gapful number since it is divisible by the number (10) 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 14110113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16275349440).

14110113140 is an abundant number, since it is smaller than the sum of its proper divisors (18440585740).

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

14110113140 is a wasteful number, since it uses less digits than its factorization.

14110113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 14110113140 its reverse (4131101141), we get a palindrome (18241214281).

The spelling of 14110113140 in words is "fourteen billion, one hundred ten million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 31 46 59 62 92 115 118 124 155 230 236 295 310 460 541 590 620 713 961 1082 1180 1357 1426 1829 1922 2164 2705 2714 2852 3565 3658 3844 4805 5410 5428 6785 7130 7316 9145 9610 10820 12443 13570 14260 16771 18290 19220 22103 24886 27140 31919 33542 36580 42067 44206 49772 56699 62215 63838 67084 83855 84134 88412 110515 113398 124430 127676 159595 167710 168268 210335 221030 226796 248860 283495 319190 335420 385733 420670 442060 519901 566990 638380 734137 771466 841340 989489 1039802 1133980 1304077 1468274 1542932 1928665 1978978 2079604 2599505 2608154 2936548 3670685 3857330 3957956 4947445 5199010 5216308 6520385 7341370 7714660 9894890 10398020 11957723 13040770 14682740 19789780 22758247 23915446 26081540 30674159 45516494 47830892 59788615 61348318 91032988 113791235 119577230 122696636 153370795 227582470 239154460 306741590 455164940 613483180 705505657 1411011314 2822022628 3527528285 7055056570 14110113140