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214214244030 = 23352927358141
BaseRepresentation
bin1100011110000000101…
…0011111011010111110
3202110220221220002122000
43013200022133122332
512002202321302110
6242224134403130
721322300013463
oct3074012373276
9673827802560
10214214244030
11829363a1116
1235623b004a6
131727b131867
14a521c0766a
15588b2c71c0
hex31e029f6be

214214244030 has 64 divisors (see below), whose sum is σ = 590935867200. Its totient is φ = 55154010240.

The previous prime is 214214244029. The next prime is 214214244089. The reversal of 214214244030 is 30442412412.

214214244030 is a `hidden beast` number, since 2 + 1 + 4 + 214 + 2 + 440 + 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 = 214214243985 and 214214244003.

It is a congruent number.

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, 13671241 + ... + 13686900.

It is an arithmetic number, because the mean of its divisors is an integer number (9233372925).

Almost surely, 2214214244030 is an apocalyptic number.

214214244030 is an abundant number, since it is smaller than the sum of its proper divisors (376721623170).

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

214214244030 is a wasteful number, since it uses less digits than its factorization.

214214244030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27358186 (or 27358180 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 214214244030 its reverse (30442412412), we get a palindrome (244656656442).

The spelling of 214214244030 in words is "two hundred fourteen billion, two hundred fourteen million, two hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 3915 7830 27358141 54716282 82074423 136790705 164148846 246223269 273581410 410372115 492446538 738669807 793386089 820744230 1231116345 1477339614 1586772178 2380158267 2462232690 3693349035 3966930445 4760316534 7140474801 7386698070 7933860890 11900791335 14280949602 21421424403 23801582670 35702374005 42842848806 71404748010 107107122015 214214244030