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1043355243840 = 263572131706167
BaseRepresentation
bin11110010111011001101…
…00011001010101000000
310200202002012222000020220
433023230310121111000
5114043242420300330
62115151043503040
7135244213146600
oct17135464312500
93622065860226
101043355243840
11372536920328
1214a261687a80
1377507503590
14386da490c00
151c217ab4710
hexf2ecd19540

1043355243840 has 336 divisors, whose sum is σ = 4149919251072. Its totient is φ = 220136361984.

The previous prime is 1043355243781. The next prime is 1043355243871. The reversal of 1043355243840 is 483425533401.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1043355243792 and 1043355243801.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 241564 + ... + 1464603.

It is an arithmetic number, because the mean of its divisors is an integer number (12350950152).

Almost surely, 21043355243840 is an apocalyptic number.

1043355243840 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 1043355243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074959625536).

1043355243840 is an abundant number, since it is smaller than the sum of its proper divisors (3106564007232).

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

1043355243840 is a wasteful number, since it uses less digits than its factorization.

1043355243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706214 (or 1706197 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 1043355243840 in words is "one trillion, forty-three billion, three hundred fifty-five million, two hundred forty-three thousand, eight hundred forty".