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30154522242 = 231317195872039
BaseRepresentation
bin11100000101010110…
…010111111010000010
32212211112001110001010
4130011112113322002
5443224024202432
621504112021350
72115154132005
oct340526277202
985745043033
1030154522242
1111874494969
125a16831856
132ac73b8490
141660b8d53c
15bb749d3cc
hex705597e82

30154522242 has 128 divisors (see below), whose sum is σ = 72546969600. Its totient is φ = 8254780416.

The previous prime is 30154522217. The next prime is 30154522253. The reversal of 30154522242 is 24222545103.

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 63 ways as a sum of consecutive naturals, for example, 14787859 + ... + 14789897.

It is an arithmetic number, because the mean of its divisors is an integer number (566773200).

Almost surely, 230154522242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30154522242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36273484800).

30154522242 is an abundant number, since it is smaller than the sum of its proper divisors (42392447358).

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

30154522242 is a wasteful number, since it uses less digits than its factorization.

30154522242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680.

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 30154522242 in words is "thirty billion, one hundred fifty-four million, five hundred twenty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 17 19 26 34 38 39 51 57 78 102 114 221 247 323 442 494 587 646 663 741 969 1174 1326 1482 1761 1938 2039 3522 4078 4199 6117 7631 8398 9979 11153 12234 12597 15262 19958 22306 22893 25194 26507 29937 33459 34663 38741 45786 53014 59874 66918 69326 77482 79521 103989 116223 129727 144989 159042 189601 207978 232446 259454 289978 379202 389181 434967 450619 503633 568803 658597 778362 869934 901238 1007266 1137606 1196893 1317194 1351857 1510899 1975791 2393786 2464813 2703714 3021798 3590679 3951582 4929626 7181358 7394439 8561761 14788878 15559609 17123522 20347181 22740967 25685283 31119218 40694362 45481934 46678827 51370566 61041543 68222901 93357654 122083086 136445802 264513353 295632571 386596439 529026706 591265142 773192878 793540059 886897713 1159789317 1587080118 1773795426 2319578634 5025753707 10051507414 15077261121 30154522242