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1444740483375 = 32537237976483
BaseRepresentation
bin10101000001100001001…
…111100100100100101111
312010010010110002211122200
4111001201033210210233
5142132312030432000
63023412110312543
7206244005326050
oct25014117444457
95103113084580
101444740483375
1150779037a692
121b40007b8753
13a6313b22a87
144dcd6602727
15278aadd9500
hex150613e492f

1444740483375 has 96 divisors (see below), whose sum is σ = 3105851433984. Its totient is φ = 631737374400.

The previous prime is 1444740483337. The next prime is 1444740483377. The reversal of 1444740483375 is 5733840474441.

1444740483375 is a `hidden beast` number, since 14 + 4 + 47 + 40 + 483 + 3 + 75 = 666.

It is not a de Polignac number, because 1444740483375 - 26 = 1444740483311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444740483377) 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 95 ways as a sum of consecutive naturals, for example, 3807117 + ... + 4169366.

It is an arithmetic number, because the mean of its divisors is an integer number (32352619104).

Almost surely, 21444740483375 is an apocalyptic number.

1444740483375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1444740483375 is an abundant number, since it is smaller than the sum of its proper divisors (1661110950609).

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

1444740483375 is a wasteful number, since it uses less digits than its factorization.

1444740483375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7976534 (or 7976521 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 1444740483375 in words is "one trillion, four hundred forty-four billion, seven hundred forty million, four hundred eighty-three thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 23 25 35 45 63 69 75 105 115 125 161 175 207 225 315 345 375 483 525 575 805 875 1035 1125 1449 1575 1725 2415 2625 2875 4025 5175 7245 7875 8625 12075 20125 25875 36225 60375 181125 7976483 23929449 39882415 55835381 71788347 119647245 167506143 183459109 199412075 279176905 358941735 502518429 550377327 598236225 837530715 917295545 997060375 1284213763 1395884525 1651131981 1794708675 2512592145 2751886635 2991181125 3852641289 4187653575 4586477725 6421068815 6979422625 8255659905 8973543375 11557923867 12562960725 13759433175 19263206445 20938267875 22932388625 32105344075 41278299525 57789619335 62814803625 68797165875 96316032225 160526720375 206391497625 288948096675 481580161125 1444740483375