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2010440143242 = 234194011628839
BaseRepresentation
bin11101010000010111100…
…100100001000110001010
321010012022000211002010000
4131100113210201012022
5230414340134040432
64135330005303430
7265151403154326
oct35202744410612
97105260732100
102010440143242
11705694059a43
12285778404b76
131177784a9c1b
146d43d266986
153746982d57c
hex1d41792118a

2010440143242 has 80 divisors (see below), whose sum is σ = 4753802116800. Its totient is φ = 633292214400.

The previous prime is 2010440143241. The next prime is 2010440143247. The reversal of 2010440143242 is 2423410440102.

2010440143242 is a `hidden beast` number, since 2 + 0 + 10 + 4 + 401 + 4 + 3 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2010440143241) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 419859 + ... + 2048697.

It is an arithmetic number, because the mean of its divisors is an integer number (59422526460).

Almost surely, 22010440143242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010440143242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376901058400).

2010440143242 is an abundant number, since it is smaller than the sum of its proper divisors (2743361973558).

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

2010440143242 is a wasteful number, since it uses less digits than its factorization.

2010440143242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629273 (or 1629264 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2010440143242 its reverse (2423410440102), we get a palindrome (4433850583344).

The spelling of 2010440143242 in words is "two trillion, ten billion, four hundred forty million, one hundred forty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 401 513 802 1026 1203 1539 2406 3078 3609 7218 7619 10827 15238 21654 22857 32481 45714 64962 68571 137142 205713 411426 617139 1234278 1628839 3257678 4886517 9773034 14659551 29319102 30947941 43978653 61895882 87957306 92843823 131935959 185687646 263871918 278531469 557062938 653164439 835594407 1306328878 1671188814 1959493317 2506783221 3918986634 5013566442 5878479951 11756959902 12410124341 17635439853 24820248682 35270879706 37230373023 52906319559 74460746046 105812639118 111691119069 223382238138 335073357207 670146714414 1005220071621 2010440143242