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20400214343 = 2329731273299
BaseRepresentation
bin10010111111111100…
…101001000101000111
31221122201121021010012
4102333330221011013
5313234423324333
613212143220435
71321351650365
oct227774510507
957581537105
1020400214343
118719430a83
123b53ba771b
131c01592962
14db7504635
157e5e72e48
hex4bff29147

20400214343 has 32 divisors (see below), whose sum is σ = 22505472000. Its totient is φ = 18430384896.

The previous prime is 20400214333. The next prime is 20400214349. The reversal of 20400214343 is 34341200402.

It is a cyclic number.

It is not a de Polignac number, because 20400214343 - 212 = 20400210247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20400214349) 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, 6182108 + ... + 6185406.

It is an arithmetic number, because the mean of its divisors is an integer number (703296000).

Almost surely, 220400214343 is an apocalyptic number.

20400214343 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

20400214343 is a deficient number, since it is larger than the sum of its proper divisors (2105257657).

20400214343 is a wasteful number, since it uses less digits than its factorization.

20400214343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3551.

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 20400214343 its reverse (34341200402), we get a palindrome (54741414745).

The spelling of 20400214343 in words is "twenty billion, four hundred million, two hundred fourteen thousand, three hundred forty-three".

Divisors: 1 23 29 73 127 667 1679 2117 2921 3299 3683 9271 48691 75877 84709 95671 213233 240827 268859 418973 2200433 5539021 6183757 6983983 9636379 12150217 30585029 160631609 279454991 703455667 886965841 20400214343