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1241023442040 = 2332541438092417
BaseRepresentation
bin10010000011110010110…
…000101110110001111000
311101122022001112220000200
4102003302300232301320
5130313104000121130
62350041315202200
7155442501130614
oct22036260566170
94348261486020
101241023442040
1143935141a2a8
121806282a6360
13900496c4475
14440cc9c6344
1522436484760
hex120f2c2ec78

1241023442040 has 384 divisors, whose sum is σ = 4234763332800. Its totient is φ = 314839203840.

The previous prime is 1241023442003. The next prime is 1241023442041. The reversal of 1241023442040 is 402443201421.

1241023442040 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 0 + 234 + 420 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1241023441995 and 1241023442013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241023442041) 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 95 ways as a sum of consecutive naturals, for example, 513454912 + ... + 513457328.

Almost surely, 21241023442040 is an apocalyptic number.

1241023442040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1241023442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117381666400).

1241023442040 is an abundant number, since it is smaller than the sum of its proper divisors (2993739890760).

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

1241023442040 is a wasteful number, since it uses less digits than its factorization.

1241023442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3320 counting only the distinct ones).

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

Adding to 1241023442040 its reverse (402443201421), we get a palindrome (1643466643461).

The spelling of 1241023442040 in words is "one trillion, two hundred forty-one billion, twenty-three million, four hundred forty-two thousand, forty".