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214051301730 = 233572915432531
BaseRepresentation
bin1100011101011001110…
…0111010100101100010
3202110111121021202211000
43013112130322211202
512001334113123410
6242200034132430
721315251021160
oct3072634724542
9673447252730
10214051301730
118286241a162
1235599421116
1317253450ab6
14a508310230
15587bd3cdc0
hex31d673a962

214051301730 has 256 divisors, whose sum is σ = 675545702400. Its totient is φ = 47189640960.

The previous prime is 214051301687. The next prime is 214051301741. The reversal of 214051301730 is 37103150412.

214051301730 is a `hidden beast` number, since 2 + 140 + 513 + 0 + 1 + 7 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 214051301694 and 214051301703.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84570565 + ... + 84573095.

It is an arithmetic number, because the mean of its divisors is an integer number (2638850400).

Almost surely, 2214051301730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214051301730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337772851200).

214051301730 is an abundant number, since it is smaller than the sum of its proper divisors (461494400670).

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

214051301730 is a wasteful number, since it uses less digits than its factorization.

214051301730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 214051301730 in words is "two hundred fourteen billion, fifty-one million, three hundred one thousand, seven hundred thirty".