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144993048375 = 353789620623
BaseRepresentation
bin1000011100001001000…
…0100101011100110111
3111212020211000000110210
42013002100211130313
54333421210022000
6150335304120503
713322030401440
oct2070220453467
9455224000423
10144993048375
11565448832aa
1224125a66133
13108991586a6
1470368002c7
153b89253350
hex21c2425737

144993048375 has 64 divisors (see below), whose sum is σ = 278833950720. Its totient is φ = 65537683200.

The previous prime is 144993048373. The next prime is 144993048401. The reversal of 144993048375 is 573840399441.

It is a happy number.

It is not a de Polignac number, because 144993048375 - 21 = 144993048373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144993048373) 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 63 ways as a sum of consecutive naturals, for example, 76687 + ... + 543936.

It is an arithmetic number, because the mean of its divisors is an integer number (4356780480).

Almost surely, 2144993048375 is an apocalyptic number.

144993048375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144993048375 is a deficient number, since it is larger than the sum of its proper divisors (133840902345).

144993048375 is an equidigital number, since it uses as much as digits as its factorization.

144993048375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620737 (or 620727 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 144993048375 in words is "one hundred forty-four billion, nine hundred ninety-three million, forty-eight thousand, three hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 35 75 89 105 125 175 267 375 445 525 623 875 1335 1869 2225 2625 3115 6675 9345 11125 15575 33375 46725 77875 233625 620623 1861869 3103115 4344361 9309345 13033083 15515575 21721805 46546725 55235447 65165415 77577875 108609025 165706341 232733625 276177235 325827075 386648129 543045125 828531705 1159944387 1380886175 1629135375 1933240645 4142658525 5799721935 6904430875 9666203225 20713292625 28998609675 48331016125 144993048375