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1444780105071 = 331137132785453
BaseRepresentation
bin10101000001100011100…
…110101101110101101111
312010010020012122211101220
4111001203212231311233
5142132402201330241
63023420043434423
7206244666160152
oct25014346556557
95103205584356
101444780105071
11507800781a96
121b4011b25a13
13a631c0b6374
144dcdb997c99
15278ae614166
hex150639add6f

1444780105071 has 32 divisors (see below), whose sum is σ = 2004562157568. Its totient is φ = 924604312320.

The previous prime is 1444780105031. The next prime is 1444780105073. The reversal of 1444780105071 is 1705010874441.

It is not a de Polignac number, because 1444780105071 - 221 = 1444778007919 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444780105073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16864581 + ... + 16950033.

It is an arithmetic number, because the mean of its divisors is an integer number (62642567424).

Almost surely, 21444780105071 is an apocalyptic number.

1444780105071 is a deficient number, since it is larger than the sum of its proper divisors (559782052497).

1444780105071 is a wasteful number, since it uses less digits than its factorization.

1444780105071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86951.

The product of its (nonzero) digits is 125440, while the sum is 42.

The spelling of 1444780105071 in words is "one trillion, four hundred forty-four billion, seven hundred eighty million, one hundred five thousand, seventy-one".

Divisors: 1 3 31 93 137 411 1327 3981 4247 12741 41137 85453 123411 181799 256359 545397 2649043 5635769 7947129 11707061 16907307 35121183 113396131 340188393 362918891 1088756673 3515280061 10545840183 15535269947 46605809841 481593368357 1444780105071