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42424741425 = 352111723131519
BaseRepresentation
bin100111100000101101…
…100010111000110001
311001111122122011102110
4213200231202320301
51143341213211200
631253433235533
73031216231533
oct474055427061
9131448564373
1042424741425
1116aa072a180
12827bb62ba9
1340015217c1
1420a662b853
1511847e8b50
hex9e0b62e31

42424741425 has 96 divisors (see below), whose sum is σ = 84543160320. Its totient is φ = 18517734400.

The previous prime is 42424741417. The next prime is 42424741427. The reversal of 42424741425 is 52414742424.

It is a happy number.

It is not a de Polignac number, because 42424741425 - 23 = 42424741417 is a prime.

It is a super-2 number, since 2×424247414252 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42424741427) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 256816 + ... + 388334.

It is an arithmetic number, because the mean of its divisors is an integer number (880657920).

Almost surely, 242424741425 is an apocalyptic number.

It is an amenable number.

42424741425 is a deficient number, since it is larger than the sum of its proper divisors (42118418895).

42424741425 is a wasteful number, since it uses less digits than its factorization.

42424741425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131583 (or 131578 counting only the distinct ones).

The product of its digits is 286720, while the sum is 39.

Subtracting 42424741425 from its reverse (52414742424), we obtain a palindrome (9990000999).

The spelling of 42424741425 in words is "forty-two billion, four hundred twenty-four million, seven hundred forty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 11 15 17 23 25 33 51 55 69 75 85 115 165 187 253 255 275 345 391 425 561 575 759 825 935 1173 1265 1275 1725 1955 2805 3795 4301 4675 5865 6325 9775 12903 14025 18975 21505 29325 64515 107525 131519 322575 394557 657595 1446709 1972785 2235823 3024937 3287975 4340127 6707469 7233545 9074811 9863925 11179115 15124685 21700635 24594053 33274307 33537345 36167725 45374055 51423929 55895575 73782159 75623425 99822921 108503175 122970265 154271787 166371535 167686725 226870275 257119645 368910795 499114605 565663219 614851325 771358935 831857675 1285598225 1696989657 1844553975 2495573025 2828316095 3856794675 8484948285 14141580475 42424741425