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214022442040 = 23511642775683
BaseRepresentation
bin1100011101010010111…
…0110100110000111000
3202110102120222112202121
43013110232310300320
512001304221121130
6242153123411024
721314450512141
oct3072456646070
9673376875677
10214022442040
11828480a8480
123558b823a74
131724a487b64
14a50455aac8
15587953bd7a
hex31d4bb4c38

214022442040 has 64 divisors (see below), whose sum is σ = 525416492160. Its totient is φ = 77813205120.

The previous prime is 214022442031. The next prime is 214022442059. The reversal of 214022442040 is 40244220412.

214022442040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214022441996 and 214022442014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2790039 + ... + 2865721.

It is an arithmetic number, because the mean of its divisors is an integer number (8209632690).

Almost surely, 2214022442040 is an apocalyptic number.

214022442040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214022442040 is an abundant number, since it is smaller than the sum of its proper divisors (311394050120).

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

214022442040 is a wasteful number, since it uses less digits than its factorization.

214022442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82132 (or 82128 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 214022442040 its reverse (40244220412), we get a palindrome (254266662452).

The spelling of 214022442040 in words is "two hundred fourteen billion, twenty-two million, four hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 6427 12854 25708 32135 51416 64270 70697 75683 128540 141394 151366 257080 282788 302732 353485 378415 565576 605464 706970 756830 832513 1413940 1513660 1665026 2827880 3027320 3330052 4162565 6660104 8325130 16650260 33300520 486414641 972829282 1945658564 2432073205 3891317128 4864146410 5350561051 9728292820 10701122102 19456585640 21402244204 26752805255 42804488408 53505610510 107011221020 214022442040