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142201235087784 = 233219294398164973
BaseRepresentation
bin100000010101010011001110…
…000110101010000110101000
3200122111022020120102000222200
4200111103032012222012220
5122114311112140302114
61222234202350220200
741644462111565145
oct4025231606520650
9618438216360880
10142201235087784
1141345229034a34
1213b47675ab4660
1361466991220c2
14271880dcc33cc
151168ea90aa409
hex8154ce1aa1a8

142201235087784 has 192 divisors, whose sum is σ = 420332861520000. Its totient is φ = 43258413574656.

The previous prime is 142201235087761. The next prime is 142201235087789. The reversal of 142201235087784 is 487780532102241.

142201235087784 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 0 + 123 + 508 + 7 + 7 + 8 + 4 = 666.

It is a super-2 number, since 2×1422012350877842 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 142201235087784.

It is not an unprimeable number, because it can be changed into a prime (142201235087789) 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 47 ways as a sum of consecutive naturals, for example, 13333522 + ... + 21498494.

It is an arithmetic number, because the mean of its divisors is an integer number (2189233653750).

Almost surely, 2142201235087784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142201235087784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210166430760000).

142201235087784 is an abundant number, since it is smaller than the sum of its proper divisors (278131626432216).

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

142201235087784 is a wasteful number, since it uses less digits than its factorization.

142201235087784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8165472 (or 8165465 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 142201235087784 in words is "one hundred forty-two trillion, two hundred one billion, two hundred thirty-five million, eighty-seven thousand, seven hundred eighty-four".