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1240394778112 = 29723293971307
BaseRepresentation
bin10010000011001101010…
…010100100011000000000
311101120200020121110020111
4102003031102210120000
5130310312030344422
62345455100521104
7155421065436310
oct22031522443000
94346606543214
101240394778112
11439059573836
12180491850194
138cc793a0a89
144406d2db440
15223eb1a3a77
hex120cd4a4600

1240394778112 has 320 divisors, whose sum is σ = 3067530808320. Its totient is φ = 489339518976.

The previous prime is 1240394778101. The next prime is 1240394778143. The reversal of 1240394778112 is 2118774930421.

It is a super-3 number, since 3×12403947781123 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949038963 + ... + 949040269.

It is an arithmetic number, because the mean of its divisors is an integer number (9586033776).

Almost surely, 21240394778112 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 1240394778112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533765404160).

1240394778112 is an abundant number, since it is smaller than the sum of its proper divisors (1827136030208).

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

1240394778112 is a wasteful number, since it uses less digits than its factorization.

1240394778112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The spelling of 1240394778112 in words is "one trillion, two hundred forty billion, three hundred ninety-four million, seven hundred seventy-eight thousand, one hundred twelve".