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142424421062436 = 2235557263064959
BaseRepresentation
bin100000011000100011000101…
…000001100101011100100100
3200200021122022210012021100000
4200120203011001211130210
5122131440203242444221
61222524513100221300
741666552632222662
oct4030430501453444
9620248283167300
10142424421062436
1141420948769057
1213b8298253a830
136161746bb68b6
142725543463c32
15116ebbcd27e26
hex8188c5065724

142424421062436 has 72 divisors (see below), whose sum is σ = 374021551088640. Its totient is φ = 47389573793952.

The previous prime is 142424421062419. The next prime is 142424421062461. The reversal of 142424421062436 is 634260124424241.

142424421062436 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 2 + 4 + 4 + 2 + 10 + 624 + 3 + 6 = 666.

It is a super-3 number, since 3×1424244210624363 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142424421062391 and 142424421062400.

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 23 ways as a sum of consecutive naturals, for example, 130991076 + ... + 132073883.

It is an arithmetic number, because the mean of its divisors is an integer number (5194743765120).

Almost surely, 2142424421062436 is an apocalyptic number.

It is an amenable number.

142424421062436 is an abundant number, since it is smaller than the sum of its proper divisors (231597130026204).

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

142424421062436 is a wasteful number, since it uses less digits than its factorization.

142424421062436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263065535 (or 263065521 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

Adding to 142424421062436 its reverse (634260124424241), we get a palindrome (776684545486677).

The spelling of 142424421062436 in words is "one hundred forty-two trillion, four hundred twenty-four billion, four hundred twenty-one million, sixty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 557 972 1114 1671 2228 3342 5013 6684 10026 15039 20052 30078 45117 60156 90234 135351 180468 270702 541404 263064959 526129918 789194877 1052259836 1578389754 2367584631 3156779508 4735169262 7102753893 9470338524 14205507786 21308261679 28411015572 42616523358 63924785037 85233046716 127849570074 146527182163 255699140148 293054364326 439581546489 586108728652 879163092978 1318744639467 1758326185956 2637489278934 3956233918401 5274978557868 7912467836802 11868701755203 15824935673604 23737403510406 35606105265609 47474807020812 71212210531218 142424421062436