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14113012032 = 263273500251
BaseRepresentation
bin11010010010011001…
…10111100101000000
31100102120010021221100
431021030313211000
5212400412341112
610252230454400
71006506423450
oct151114674500
940376107840
1014113012032
115a92477909
12289a504400
13143bb5a1c2
1497c4d3d60
155790082dc
hex349337940

14113012032 has 84 divisors (see below), whose sum is σ = 46231328416. Its totient is φ = 4032288000.

The previous prime is 14113012027. The next prime is 14113012051. The reversal of 14113012032 is 23021031141.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14113011996 and 14113012014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1746094 + ... + 1754157.

Almost surely, 214113012032 is an apocalyptic number.

14113012032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14113012032 is an abundant number, since it is smaller than the sum of its proper divisors (32118316384).

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

14113012032 is a wasteful number, since it uses less digits than its factorization.

14113012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500276 (or 3500263 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 14113012032 its reverse (23021031141), we get a palindrome (37134043173).

The spelling of 14113012032 in words is "fourteen billion, one hundred thirteen million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 3500251 7000502 10500753 14001004 21001506 24501757 28002008 31502259 42003012 49003514 56004016 63004518 73505271 84006024 98007028 112008032 126009036 147010542 168012048 196014056 220515813 224016064 252018072 294021084 336024096 392028112 441031626 504036144 588042168 672048192 784056224 882063252 1008072288 1176084336 1568112448 1764126504 2016144576 2352168672 3528253008 4704337344 7056506016 14113012032