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142424225500544 = 2713757711296223
BaseRepresentation
bin100000011000100010111001…
…010111100100110110000000
3200200021121211011012200211222
4200120202321113210312000
5122131434303212004134
61222524441432454212
741666545036041461
oct4030427127446600
9620247734180758
10142424225500544
1141420858337559
1213b82928b4a368
1361617155246c0
1427255254b8d68
15116ebaaa98a2e
hex8188b95e4d80

142424225500544 has 64 divisors (see below), whose sum is σ = 305601944135040. Its totient is φ = 65725576605696.

The previous prime is 142424225500541. The next prime is 142424225500561. The reversal of 142424225500544 is 445005522424241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 142424225500495 and 142424225500504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142424225500541) by changing a digit.

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, 6960017 + ... + 18256239.

It is an arithmetic number, because the mean of its divisors is an integer number (4775030377110).

Almost surely, 2142424225500544 is an apocalyptic number.

It is an amenable number.

142424225500544 is an abundant number, since it is smaller than the sum of its proper divisors (163177718634496).

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

142424225500544 is a wasteful number, since it uses less digits than its factorization.

142424225500544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11303827 (or 11303815 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 44.

Adding to 142424225500544 its reverse (445005522424241), we get a palindrome (587429747924785).

The spelling of 142424225500544 in words is "one hundred forty-two trillion, four hundred twenty-four billion, two hundred twenty-five million, five hundred thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 7577 15154 30308 60616 98501 121232 197002 242464 394004 484928 788008 969856 1576016 3152032 6304064 11296223 12608128 22592446 45184892 90369784 146850899 180739568 293701798 361479136 587403596 722958272 1174807192 1445916544 2349614384 4699228768 9398457536 18796915072 85591481671 171182963342 342365926684 684731853368 1112689261723 1369463706736 2225378523446 2738927413472 4450757046892 5477854826944 8901514093784 10955709653888 17803028187568 35606056375136 71212112750272 142424225500544