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1442270753 = 73112193159
BaseRepresentation
bin101010111110111…
…0100111000100001
310201111212221112022
41111331310320201
510423210131003
6355040511225
750512046000
oct12575647041
93644787468
101442270753
11680140400
1234301b515
1319ca5ba61
14d9796c37
1586944738
hex55f74e21

1442270753 has 96 divisors (see below), whose sum is σ = 2042880000. Its totient is φ = 1012888800.

The previous prime is 1442270747. The next prime is 1442270761. The reversal of 1442270753 is 3570722441.

It is not a de Polignac number, because 1442270753 - 218 = 1442008609 is a prime.

It is a super-3 number, since 3×14422707533 (a number of 28 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1442270723) 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 95 ways as a sum of consecutive naturals, for example, 24445238 + ... + 24445296.

It is an arithmetic number, because the mean of its divisors is an integer number (21280000).

Almost surely, 21442270753 is an apocalyptic number.

It is an amenable number.

1442270753 is a deficient number, since it is larger than the sum of its proper divisors (600609247).

1442270753 is a wasteful number, since it uses less digits than its factorization.

1442270753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 1442270753 is about 37977.2399339394. The cubic root of 1442270753 is about 1129.8364952559.

The spelling of 1442270753 in words is "one billion, four hundred forty-two million, two hundred seventy thousand, seven hundred fifty-three".

Divisors: 1 7 11 19 31 49 59 77 121 133 209 217 341 343 413 539 589 649 847 931 1121 1463 1519 1829 2299 2387 2891 3751 3773 4123 4543 5929 6479 6517 7139 7847 10241 10633 12331 12803 16093 16709 20119 20237 26257 28861 31801 34751 41503 45353 49973 54929 71269 71687 86317 89621 112651 116963 135641 140833 183799 202027 221309 222607 243257 317471 349811 382261 384503 498883 604219 627347 788557 949487 985831 1286593 1549163 1702799 2222297 2448677 2675827 3492181 4204871 4229533 6646409 6900817 10844141 11919593 18730789 24445267 29434097 46524863 75908987 131115523 206038679 1442270753