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1410312242034 = 23337977722479
BaseRepresentation
bin10100100001011101001…
…010010000001101110010
311222211021002021222011000
4110201131022100031302
5141101304413221114
62555515525502430
7203614565156433
oct24413512201562
94884232258130
101410312242034
114a4123548373
121a93b2871a16
13a2cb81ba337
144c38c00b48a
1526a43648e09
hex1485d290372

1410312242034 has 64 divisors (see below), whose sum is σ = 3222029606400. Its totient is φ = 456929766144.

The previous prime is 1410312242029. The next prime is 1410312242069. The reversal of 1410312242034 is 4302422130141.

1410312242034 is a `hidden beast` number, since 1 + 410 + 3 + 1 + 2 + 242 + 0 + 3 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1410312241989 and 1410312242007.

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 31 ways as a sum of consecutive naturals, for example, 1590807 + ... + 2313285.

It is an arithmetic number, because the mean of its divisors is an integer number (50344212600).

Almost surely, 21410312242034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1410312242034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611014803200).

1410312242034 is an abundant number, since it is smaller than the sum of its proper divisors (1811717364366).

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

1410312242034 is a wasteful number, since it uses less digits than its factorization.

1410312242034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723504 (or 723498 counting only the distinct ones).

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

Adding to 1410312242034 its reverse (4302422130141), we get a palindrome (5712734372175).

The spelling of 1410312242034 in words is "one trillion, four hundred ten billion, three hundred twelve million, two hundred forty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 977 999 1954 1998 2931 5862 8793 17586 26379 36149 52758 72298 108447 216894 325341 650682 722479 976023 1444958 1952046 2167437 4334874 6502311 13004622 19506933 26731723 39013866 53463446 80195169 160390338 240585507 481171014 705861983 721756521 1411723966 1443513042 2117585949 4235171898 6352757847 12705515694 19058273541 26116893371 38116547082 52233786742 78350680113 156701360226 235052040339 470104080678 705156121017 1410312242034