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1412844911296 = 267131633474289
BaseRepresentation
bin10100100011110100000…
…111100111101011000000
312000001210120221220020021
4110203310013213223000
5141122001244130141
63001015121423224
7204034420412020
oct24436407475300
95001716856207
101412844911296
114a5203135265
121a999aa9ab14
13a32ccb176c0
144c54c523a80
1526b40b796d1
hex148f41e7ac0

1412844911296 has 224 divisors, whose sum is σ = 3482588229120. Its totient is φ = 553768648704.

The previous prime is 1412844911293. The next prime is 1412844911297. The reversal of 1412844911296 is 6921194482141.

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

It is a super-2 number, since 2×14128449112962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (1412844911293) 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 31 ways as a sum of consecutive naturals, for example, 329409120 + ... + 329413408.

It is an arithmetic number, because the mean of its divisors is an integer number (15547268880).

Almost surely, 21412844911296 is an apocalyptic number.

1412844911296 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 1412844911296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741294114560).

1412844911296 is an abundant number, since it is smaller than the sum of its proper divisors (2069743317824).

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

1412844911296 is a wasteful number, since it uses less digits than its factorization.

1412844911296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4831 (or 4821 counting only the distinct ones).

The product of its digits is 995328, while the sum is 52.

The spelling of 1412844911296 in words is "one trillion, four hundred twelve billion, eight hundred forty-four million, nine hundred eleven thousand, two hundred ninety-six".