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144245416743 = 326110117914533
BaseRepresentation
bin1000011001010110110…
…0100110001100100111
3111210022201012101200100
42012111230212030213
54330403311313433
6150133155515143
713264351545411
oct2062554461447
9453281171610
10144245416743
11561a086061a
1223b575b8ab3
13107aa2acbcc
146da53c79b1
153b437c2b13
hex2195b26327

144245416743 has 48 divisors (see below), whose sum is σ = 215076457440. Its totient is φ = 93121056000.

The previous prime is 144245416739. The next prime is 144245416871. The reversal of 144245416743 is 347614542441.

144245416743 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 4 + 541 + 67 + 43 = 666.

It is not a de Polignac number, because 144245416743 - 22 = 144245416739 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144245406743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9918105 + ... + 9932637.

It is an arithmetic number, because the mean of its divisors is an integer number (4480759530).

Almost surely, 2144245416743 is an apocalyptic number.

144245416743 is a deficient number, since it is larger than the sum of its proper divisors (70831040697).

144245416743 is a wasteful number, since it uses less digits than its factorization.

144245416743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14880 (or 14877 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 144245416743 in words is "one hundred forty-four billion, two hundred forty-five million, four hundred sixteen thousand, seven hundred forty-three".

Divisors: 1 3 9 61 101 179 183 303 537 549 909 1611 6161 10919 14533 18079 18483 32757 43599 54237 55449 98271 130797 162711 886513 1102819 1467833 2601407 2659539 3308457 4403499 7804221 7978617 9925371 13210497 23412663 89537813 158685827 262742107 268613439 476057481 788226321 805840317 1428172443 2364678963 16027268527 48081805581 144245416743