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4142301224240 = 245401129124103
BaseRepresentation
bin111100010001110100011…
…001001001110100110000
3112200000000002112212212202
4330101310121021310300
51020331413103133430
612450540311042332
7605162041313024
oct74216431116460
915600002485782
104142301224240
111357816062623
1256a9803703a8
13240804370b7a
141046ba438384
1572b3dc40d45
hex3c474649d30

4142301224240 has 40 divisors (see below), whose sum is σ = 9654867504288. Its totient is φ = 1652788505600.

The previous prime is 4142301224239. The next prime is 4142301224297. The reversal of 4142301224240 is 424221032414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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, 64529972 + ... + 64594131.

Almost surely, 24142301224240 is an apocalyptic number.

4142301224240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142301224240 is an abundant number, since it is smaller than the sum of its proper divisors (5512566280048).

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

4142301224240 is a wasteful number, since it uses less digits than its factorization.

4142301224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129124517 (or 129124511 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 4142301224240 its reverse (424221032414), we get a palindrome (4566522256654).

The spelling of 4142301224240 in words is "four trillion, one hundred forty-two billion, three hundred one million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 401 802 1604 2005 3208 4010 6416 8020 16040 32080 129124103 258248206 516496412 645620515 1032992824 1291241030 2065985648 2582482060 5164964120 10329928240 51778765303 103557530606 207115061212 258893826515 414230122424 517787653030 828460244848 1035575306060 2071150612120 4142301224240