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442122024330 = 233572310170739
BaseRepresentation
bin1100110111100001000…
…01101011010110001010
31120021012020120220122000
412123300201223112022
524220431214234310
6535035201211430
743641124125450
oct6336041532612
91507166526560
10442122024330
111605593a1758
1271829930b76
13328cc2203ac
14175825109d0
15b7798484c0
hex66f086b58a

442122024330 has 128 divisors (see below), whose sum is σ = 1406003097600. Its totient is φ = 96662693952.

The previous prime is 442122024329. The next prime is 442122024361. The reversal of 442122024330 is 33420221244.

442122024330 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 220 + 2 + 433 + 0 = 666.

It is a super-2 number, since 2×4421220243302 (a number of 24 digits) contains 22 as substring.

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 = 442122024294 and 442122024303.

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 63 ways as a sum of consecutive naturals, for example, 5041900 + ... + 5128839.

It is an arithmetic number, because the mean of its divisors is an integer number (10984399200).

Almost surely, 2442122024330 is an apocalyptic number.

442122024330 is an abundant number, since it is smaller than the sum of its proper divisors (963881073270).

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

442122024330 is a wasteful number, since it uses less digits than its factorization.

442122024330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10170785 (or 10170779 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 442122024330 its reverse (33420221244), we get a palindrome (475542245574).

The spelling of 442122024330 in words is "four hundred forty-two billion, one hundred twenty-two million, twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 27 30 35 42 45 46 54 63 69 70 90 105 115 126 135 138 161 189 207 210 230 270 315 322 345 378 414 483 621 630 690 805 945 966 1035 1242 1449 1610 1890 2070 2415 2898 3105 4347 4830 6210 7245 8694 14490 21735 43470 10170739 20341478 30512217 50853695 61024434 71195173 91536651 101707390 142390346 152561085 183073302 213585519 233926997 274609953 305122170 355975865 427171038 457683255 467853994 549219906 640756557 701780991 711951730 915366510 1067927595 1169634985 1281513114 1373049765 1403561982 1637488979 1922269671 2105342973 2135855190 2339269970 2746099530 3203782785 3274977958 3508904955 3844539342 4210685946 4912466937 6316028919 6407565570 7017809910 8187444895 9611348355 9824933874 10526714865 12632057838 14737400811 16374889790 19222696710 21053429730 24562334685 29474801622 31580144595 44212202433 49124669370 63160289190 73687004055 88424404866 147374008110 221061012165 442122024330