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20314140048 = 2432293481469
BaseRepresentation
bin10010111010110100…
…010010110110010000
31221102201122020101100
4102322310102312100
5313100404440143
613155430304400
71316255225046
oct227264226620
957381566340
1020314140048
1186848910a4
123b2b1b8100
131bb97b6817
14da9cda396
157dd61e6d3
hex4bad12d90

20314140048 has 60 divisors (see below), whose sum is σ = 57045528540. Its totient is φ = 6748255488.

The previous prime is 20314139983. The next prime is 20314140053. The reversal of 20314140048 is 84004141302.

20314140048 is a `hidden beast` number, since 203 + 1 + 414 + 0 + 0 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12291713424 + 8022426624 = 110868^2 + 89568^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198543 + ... + 282926.

It is an arithmetic number, because the mean of its divisors is an integer number (950758809).

Almost surely, 220314140048 is an apocalyptic number.

It is an amenable number.

20314140048 is an abundant number, since it is smaller than the sum of its proper divisors (36731388492).

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

20314140048 is a wasteful number, since it uses less digits than its factorization.

20314140048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481776 (or 481767 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 20314140048 in words is "twenty billion, three hundred fourteen million, one hundred forty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 293 586 879 1172 1758 2344 2637 3516 4688 5274 7032 10548 14064 21096 42192 481469 962938 1444407 1925876 2888814 3851752 4333221 5777628 7703504 8666442 11555256 17332884 23110512 34665768 69331536 141070417 282140834 423211251 564281668 846422502 1128563336 1269633753 1692845004 2257126672 2539267506 3385690008 5078535012 6771380016 10157070024 20314140048