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20314334040 = 233571113213009
BaseRepresentation
bin10010111010110101…
…000010001101011000
31221102202000002111020
4102322311002031120
5313100432142130
613155434402440
71316256663450
oct227265021530
957382002436
1020314334040
118684a03920
123b2b290420
131bb9853c00
14da9d4ad60
157dd65be10
hex4bad42358

20314334040 has 384 divisors, whose sum is σ = 82281484800. Its totient is φ = 3896156160.

The previous prime is 20314334003. The next prime is 20314334057. The reversal of 20314334040 is 4043341302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20314334040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1555056 + ... + 1568064.

It is an arithmetic number, because the mean of its divisors is an integer number (214274700).

Almost surely, 220314334040 is an apocalyptic number.

20314334040 is a gapful number since it is divisible by the number (20) 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 20314334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41140742400).

20314334040 is an abundant number, since it is smaller than the sum of its proper divisors (61967150760).

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

20314334040 is a wasteful number, since it uses less digits than its factorization.

20314334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13067 (or 13050 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20314334040 its reverse (4043341302), we get a palindrome (24357675342).

The spelling of 20314334040 in words is "twenty billion, three hundred fourteen million, three hundred thirty-four thousand, forty".