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20314344340 = 2258928514003
BaseRepresentation
bin10010111010110101…
…000100101110010100
31221102202000121121201
4102322311010232110
5313100433004330
613155434522244
71316260035463
oct227265045624
957382017551
1020314344340
118684a10634
123b2b296384
131bb98587c4
14da9d509da
157dd65eeca
hex4bad44b94

20314344340 has 48 divisors (see below), whose sum is σ = 43165362240. Its totient is φ = 8029612800.

The previous prime is 20314344331. The next prime is 20314344341. The reversal of 20314344340 is 4344341302.

It is a junction number, because it is equal to n+sod(n) for n = 20314344299 and 20314344308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20314344341) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5072779 + ... + 5076781.

It is an arithmetic number, because the mean of its divisors is an integer number (899278380).

Almost surely, 220314344340 is an apocalyptic number.

20314344340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20314344340 is an abundant number, since it is smaller than the sum of its proper divisors (22851017900).

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

20314344340 is a wasteful number, since it uses less digits than its factorization.

20314344340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6952 (or 6950 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 20314344340 its reverse (4344341302), we get a palindrome (24658685642).

The spelling of 20314344340 in words is "twenty billion, three hundred fourteen million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 2851 4003 5702 8006 11404 14255 16012 20015 28510 40030 57020 80060 253739 356267 507478 712534 1014956 1268695 1425068 1781335 2537390 3562670 5074780 7125340 11412553 22825106 45650212 57062765 114125530 228251060 1015717217 2031434434 4062868868 5078586085 10157172170 20314344340