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14001202020 = 223513117115329
BaseRepresentation
bin11010000101000100…
…10110001101100100
31100010202201202102210
431002202112031210
5212133301431040
610233154203420
71003651152651
oct150242261544
940122652383
1014001202020
115a3534a343
122868b83570
131421940030
1496b70ac28
1556e2be480
hex342896364

14001202020 has 96 divisors (see below), whose sum is σ = 42257819520. Its totient is φ = 3443281920.

The previous prime is 14001202013. The next prime is 14001202027. The reversal of 14001202020 is 2020210041.

It is an interprime number because it is at equal distance from previous prime (14001202013) and next prime (14001202027).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 14001201987 and 14001202005.

It is not an unprimeable number, because it can be changed into a prime (14001202027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 905716 + ... + 921044.

It is an arithmetic number, because the mean of its divisors is an integer number (440185620).

Almost surely, 214001202020 is an apocalyptic number.

14001202020 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 14001202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21128909760).

14001202020 is an abundant number, since it is smaller than the sum of its proper divisors (28256617500).

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

14001202020 is a wasteful number, since it uses less digits than its factorization.

14001202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16525 (or 16523 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 14001202020 its reverse (2020210041), we get a palindrome (16021412061).

The spelling of 14001202020 in words is "fourteen billion, one million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1171 2342 3513 4684 5855 7026 11710 14052 15223 15329 17565 23420 30446 30658 35130 45669 45987 60892 61316 70260 76115 76645 91338 91974 152230 153290 182676 183948 199277 228345 229935 304460 306580 398554 456690 459870 597831 797108 913380 919740 996385 1195662 1992770 2391324 2989155 3985540 5978310 11956620 17950259 35900518 53850777 71801036 89751295 107701554 179502590 215403108 233353367 269253885 359005180 466706734 538507770 700060101 933413468 1077015540 1166766835 1400120202 2333533670 2800240404 3500300505 4667067340 7000601010 14001202020