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1232451320040 = 233255236919473
BaseRepresentation
bin10001111011110011110…
…100101011100011101000
311100211011122120222021200
4101323303310223203220
5130143030014220130
62342102541004200
7155020202241363
oct21736364534350
94324148528250
101232451320040
11435752705156
1217aa35553660
138c2b1796925
14439183510da
15220d3b26760
hex11ef3d2b8e8

1232451320040 has 192 divisors, whose sum is σ = 4019357384640. Its totient is φ = 327515996160.

The previous prime is 1232451320021. The next prime is 1232451320053. The reversal of 1232451320040 is 400231542321.

1232451320040 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 451 + 3 + 200 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1232451319986 and 1232451320013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130096744 + ... + 130106216.

It is an arithmetic number, because the mean of its divisors is an integer number (20934153045).

Almost surely, 21232451320040 is an apocalyptic number.

1232451320040 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 1232451320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009678692320).

1232451320040 is an abundant number, since it is smaller than the sum of its proper divisors (2786906064600).

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

1232451320040 is a wasteful number, since it uses less digits than its factorization.

1232451320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10704 (or 10697 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1232451320040 its reverse (400231542321), we get a palindrome (1632682862361).

The spelling of 1232451320040 in words is "one trillion, two hundred thirty-two billion, four hundred fifty-one million, three hundred twenty thousand, forty".