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214028280960 = 27351317504403
BaseRepresentation
bin1100011101010100010…
…1000110010010000000
3202110102222222012020220
43013111011012102000
512001312214442320
6242153452503040
721314551241214
oct3072505062200
9673388865226
10214028280960
118285042632a
123559177aa80
131724b750740
14a50523a944
155879ce1e40
hex31d5146480

214028280960 has 256 divisors, whose sum is σ = 777912024960. Its totient is φ = 49584734208.

The previous prime is 214028280937. The next prime is 214028280971. The reversal of 214028280960 is 69082820412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172119 + ... + 676521.

Almost surely, 2214028280960 is an apocalyptic number.

214028280960 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 214028280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388956012480).

214028280960 is an abundant number, since it is smaller than the sum of its proper divisors (563883744000).

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

214028280960 is a wasteful number, since it uses less digits than its factorization.

214028280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504455 (or 504443 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 214028280960 in words is "two hundred fourteen billion, twenty-eight million, two hundred eighty thousand, nine hundred sixty".