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2142041022320 = 24532771817049
BaseRepresentation
bin11111001010111011100…
…110000001111101110000
321120202222112002101222112
4133022323212001331300
5240043400000203240
64320012353024452
7310520526162533
oct37127346017560
97522875071875
102142041022320
11756486350231
122a7185255128
13126cbbc34684
14759651b4a1a
153aabceb6665
hex1f2bb981f70

2142041022320 has 40 divisors (see below), whose sum is σ = 4980403443600. Its totient is φ = 856789214720.

The previous prime is 2142041022307. The next prime is 2142041022353. The reversal of 2142041022320 is 232201402412.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2213156 + ... + 3030204.

It is an arithmetic number, because the mean of its divisors is an integer number (124510086090).

Almost surely, 22142041022320 is an apocalyptic number.

2142041022320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142041022320 is an abundant number, since it is smaller than the sum of its proper divisors (2838362421280).

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

2142041022320 is a wasteful number, since it uses less digits than its factorization.

2142041022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849833 (or 849827 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 2142041022320 its reverse (232201402412), we get a palindrome (2374242424732).

The spelling of 2142041022320 in words is "two trillion, one hundred forty-two billion, forty-one million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 32771 65542 131084 163855 262168 327710 524336 655420 817049 1310840 1634098 2621680 3268196 4085245 6536392 8170490 13072784 16340980 32681960 65363920 26775512779 53551025558 107102051116 133877563895 214204102232 267755127790 428408204464 535510255580 1071020511160 2142041022320