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14421823136 = 25710925419
BaseRepresentation
bin11010110111001101…
…11000111010100000
31101020002012112010122
431123212320322200
5214013441320021
610343021415412
71020246321410
oct153346707240
941202175118
1014421823136
11613081a1a6
122965a0a568
13148ab21676
149ab51c640
155961a7bab
hex35b9b8ea0

14421823136 has 72 divisors (see below), whose sum is σ = 32755574880. Its totient is φ = 6122946816.

The previous prime is 14421823093. The next prime is 14421823139. The reversal of 14421823136 is 63132812441.

It is a junction number, because it is equal to n+sod(n) for n = 14421823096 and 14421823105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14421823139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2658635 + ... + 2664053.

It is an arithmetic number, because the mean of its divisors is an integer number (454938540).

Almost surely, 214421823136 is an apocalyptic number.

14421823136 is a gapful number since it is divisible by the number (16) 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 14421823136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16377787440).

14421823136 is an abundant number, since it is smaller than the sum of its proper divisors (18333751744).

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

14421823136 is an equidigital number, since it uses as much as digits as its factorization.

14421823136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5654 (or 5537 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The spelling of 14421823136 in words is "fourteen billion, four hundred twenty-one million, eight hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 109 112 218 224 436 763 872 1526 1744 3052 3488 5419 6104 10838 11881 12208 21676 23762 24416 37933 43352 47524 75866 83167 86704 95048 151732 166334 173408 190096 303464 332668 380192 590671 606928 665336 1181342 1213856 1330672 2362684 2661344 4134697 4725368 8269394 9450736 16538788 18901472 33077576 64383139 66155152 128766278 132310304 257532556 450681973 515065112 901363946 1030130224 1802727892 2060260448 3605455784 7210911568 14421823136