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1014212330442 = 23537101558431
BaseRepresentation
bin11101100001000111100…
…01000000001111001010
310120221212012102121200000
432300203301000033022
5113104101324033232
62053531150023430
7133163061365523
oct16604361001712
93527765377600
101014212330442
11361141469133
121446897a7b76
137484188b21c
1437133bd184a
151b5ae33c27c
hexec23c403ca

1014212330442 has 96 divisors (see below), whose sum is σ = 2363614815744. Its totient is φ = 325676376000.

The previous prime is 1014212330413. The next prime is 1014212330473. The reversal of 1014212330442 is 2440332124101.

1014212330442 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 212 + 3 + 3 + 0 + 442 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1536967 + ... + 2095397.

It is an arithmetic number, because the mean of its divisors is an integer number (24620987664).

Almost surely, 21014212330442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014212330442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181807407872).

1014212330442 is an abundant number, since it is smaller than the sum of its proper divisors (1349402485302).

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

1014212330442 is a wasteful number, since it uses less digits than its factorization.

1014212330442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558586 (or 558574 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1014212330442 its reverse (2440332124101), we get a palindrome (3454544454543).

The spelling of 1014212330442 in words is "one trillion, fourteen billion, two hundred twelve million, three hundred thirty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 101 111 162 202 222 243 303 333 486 606 666 909 999 1818 1998 2727 2997 3737 5454 5994 7474 8181 8991 11211 16362 17982 22422 24543 33633 49086 67266 100899 201798 302697 558431 605394 908091 1116862 1675293 1816182 3350586 5025879 10051758 15077637 20661947 30155274 41323894 45232911 56401531 61985841 90465822 112803062 123971682 135698733 169204593 185957523 271397466 338409186 371915046 507613779 557872569 1015227558 1115745138 1522841337 1673617707 2086856647 3045682674 3347235414 4173713294 4568524011 5020853121 6260569941 9137048022 10041706242 12521139882 13705572033 18781709823 27411144066 37563419646 56345129469 112690258938 169035388407 338070776814 507106165221 1014212330442