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214021444020 = 223541379229553
BaseRepresentation
bin1100011101010010101…
…1000001000110110100
3202110102112002211201220
43013110223001012310
512001303442202040
6242153050150340
721314436154356
oct3072453010664
9673375084656
10214021444020
118284758666a
123558b4223b0
131724a1c8807
14a50437b0d6
1558793e12d0
hex31d4ac11b4

214021444020 has 96 divisors (see below), whose sum is σ = 615498549120. Its totient is φ = 55533219840.

The previous prime is 214021443973. The next prime is 214021444033. The reversal of 214021444020 is 20444120412.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 817564 + ... + 1047116.

It is an arithmetic number, because the mean of its divisors is an integer number (6411443220).

Almost surely, 2214021444020 is an apocalyptic number.

214021444020 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 214021444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307749274560).

214021444020 is an abundant number, since it is smaller than the sum of its proper divisors (401477105100).

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

214021444020 is a wasteful number, since it uses less digits than its factorization.

214021444020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229985 (or 229983 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 214021444020 its reverse (20444120412), we get a palindrome (234465564432).

The spelling of 214021444020 in words is "two hundred fourteen billion, twenty-one million, four hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 379 410 492 615 758 820 1137 1230 1516 1895 2274 2460 3790 4548 5685 7580 11370 15539 22740 31078 46617 62156 77695 93234 155390 186468 229553 233085 310780 459106 466170 688659 918212 932340 1147765 1377318 2295530 2754636 3443295 4591060 6886590 9411673 13773180 18823346 28235019 37646692 47058365 56470038 87000587 94116730 112940076 141175095 174001174 188233460 261001761 282350190 348002348 435002935 522003522 564700380 870005870 1044007044 1305008805 1740011740 2610017610 3567024067 5220035220 7134048134 10701072201 14268096268 17835120335 21402144402 35670240670 42804288804 53505361005 71340481340 107010722010 214021444020