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1244228172096 = 263713443160751
BaseRepresentation
bin10010000110110001110…
…001110011100101000000
311101221120101211001012110
4102012301301303211000
5130341134403001341
62351331315455320
7155615063651130
oct22066161634500
94357511731173
101244228172096
1143a746403438
121811815b7540
139043a62ac40
1444314482ac0
15225729b9216
hex121b1c73940

1244228172096 has 224 divisors, whose sum is σ = 4060888731648. Its totient is φ = 327405312000.

The previous prime is 1244228172071. The next prime is 1244228172097. The reversal of 1244228172096 is 6902718224421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244228172097) by changing a digit.

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, 7659721 + ... + 7820471.

It is an arithmetic number, because the mean of its divisors is an integer number (18128967552).

Almost surely, 21244228172096 is an apocalyptic number.

1244228172096 is a gapful number since it is divisible by the number (16) 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 1244228172096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030444365824).

1244228172096 is an abundant number, since it is smaller than the sum of its proper divisors (2816660559552).

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

1244228172096 is a wasteful number, since it uses less digits than its factorization.

1244228172096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161229 (or 161219 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 1244228172096 in words is "one trillion, two hundred forty-four billion, two hundred twenty-eight million, one hundred seventy-two thousand, ninety-six".