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1032322542240 = 253511289767489
BaseRepresentation
bin11110000010110110011…
…01111110101010100000
310122200121022222200212010
433001123031332222200
5113403144032322430
62110124210432520
7134403625554033
oct17013315765240
93580538880763
101032322542240
11368895187320
121480a2892740
1376469899392
1437d7110b01a
151bcbe215cb0
hexf05b37eaa0

1032322542240 has 192 divisors, whose sum is σ = 3548712746880. Its totient is φ = 250169917440.

The previous prime is 1032322542233. The next prime is 1032322542241. The reversal of 1032322542240 is 422452232301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1032322542198 and 1032322542207.

It is not an unprimeable number, because it can be changed into a prime (1032322542241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15262416 + ... + 15329904.

It is an arithmetic number, because the mean of its divisors is an integer number (18482878890).

Almost surely, 21032322542240 is an apocalyptic number.

1032322542240 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 1032322542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774356373440).

1032322542240 is an abundant number, since it is smaller than the sum of its proper divisors (2516390204640).

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

1032322542240 is a wasteful number, since it uses less digits than its factorization.

1032322542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70415 (or 70407 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 1032322542240 its reverse (422452232301), we get a palindrome (1454774774541).

The spelling of 1032322542240 in words is "one trillion, thirty-two billion, three hundred twenty-two million, five hundred forty-two thousand, two hundred forty".