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20314470540 = 223571319593319
BaseRepresentation
bin10010111010110101…
…100011100010001100
31221102202021000201210
4102322311203202030
5313101001024130
613155441334420
71316261102430
oct227265434214
957382230653
1020314470540
118684a97431
123b2b337410
131bb98a1090
14da9d849c0
157dd6875b0
hex4bad6388c

20314470540 has 384 divisors, whose sum is σ = 74962944000. Its totient is φ = 3990518784.

The previous prime is 20314470529. The next prime is 20314470611. The reversal of 20314470540 is 4507441302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20314470498 and 20314470507.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 6119001 + ... + 6122319.

It is an arithmetic number, because the mean of its divisors is an integer number (195216000).

Almost surely, 220314470540 is an apocalyptic number.

20314470540 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 20314470540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37481472000).

20314470540 is an abundant number, since it is smaller than the sum of its proper divisors (54648473460).

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

20314470540 is a wasteful number, since it uses less digits than its factorization.

20314470540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 20314470540 in words is "twenty billion, three hundred fourteen million, four hundred seventy thousand, five hundred forty".