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30242154433024 = 291132069252641
BaseRepresentation
bin1101110000001010011001…
…10111110100101000000000
310222002010021201222111222201
412320011030313310220000
512430441413013324044
6144153015353042544
76240631531200652
oct670051467645000
9128063251874881
1030242154433024
1196aa697847756
1234851703b6454
1313b4a90c79901
14767a29c146d2
15376a03e507d4
hex1b814cdf4a00

30242154433024 has 80 divisors (see below), whose sum is σ = 60989683720680. Its totient is φ = 14979959357440.

The previous prime is 30242154433003. The next prime is 30242154433097. The reversal of 30242154433024 is 42033445124203.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3398978951424 + 26843175481600 = 1843632^2 + 5181040^2 .

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 7 ways as a sum of consecutive naturals, for example, 119577744 + ... + 119830384.

Almost surely, 230242154433024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30242154433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30494841860340).

30242154433024 is an abundant number, since it is smaller than the sum of its proper divisors (30747529287656).

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

30242154433024 is a wasteful number, since it uses less digits than its factorization.

30242154433024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254841 (or 254825 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 37.

Adding to 30242154433024 its reverse (42033445124203), we get a palindrome (72275599557227).

The spelling of 30242154433024 in words is "thirty trillion, two hundred forty-two billion, one hundred fifty-four million, four hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 512 904 1808 2069 3616 4138 7232 8276 14464 16552 28928 33104 57856 66208 132416 233797 252641 264832 467594 505282 529664 935188 1010564 1059328 1870376 2021128 3740752 4042256 7481504 8084512 14963008 16169024 28548433 29926016 32338048 57096866 59852032 64676096 114193732 119704064 129352192 228387464 456774928 522714229 913549856 1045428458 1827099712 2090856916 3654199424 4181713832 7308398848 8363427664 14616797696 16726855328 33453710656 59066707877 66907421312 118133415754 133814842624 236266831508 267629685248 472533663016 945067326032 1890134652064 3780269304128 7560538608256 15121077216512 30242154433024