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1244251000032 = 253178310190947
BaseRepresentation
bin10010000110110011001…
…000111000110011100000
311101221121222202211020120
4102012303020320303200
5130341211224000112
62351333453040240
7155615461665645
oct22066310706340
94357558684216
101244251000032
1143a7582853a7
12181189186080
13904422915b1
1444317505dcc
15225749c7e8c
hex121b3238ce0

1244251000032 has 192 divisors, whose sum is σ = 3534643816704. Its totient is φ = 381827686400.

The previous prime is 1244250999983. The next prime is 1244251000043. The reversal of 1244251000032 is 2300001524421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1244250999966 and 1244251000011.

It is a congruent number.

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, 13635583 + ... + 13726529.

It is an arithmetic number, because the mean of its divisors is an integer number (18409603212).

Almost surely, 21244251000032 is an apocalyptic number.

1244251000032 is a gapful number since it is divisible by the number (12) 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 1244251000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767321908352).

1244251000032 is an abundant number, since it is smaller than the sum of its proper divisors (2290392816672).

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

1244251000032 is a wasteful number, since it uses less digits than its factorization.

1244251000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91161 (or 91153 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 1244251000032 its reverse (2300001524421), we get a palindrome (3544252524453).

The spelling of 1244251000032 in words is "one trillion, two hundred forty-four billion, two hundred fifty-one million, thirty-two", and thus it is an aban number.