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1442008799 = 721117241653
BaseRepresentation
bin101010111110011…
…0100111011011111
310201111101122012022
41111330310323133
510423123240144
6355031130355
750506605200
oct12574647337
93644348168
101442008799
1167aa81610
12342b139bb
1319c99975a
14d97295a7
15868e1cee
hex55f34edf

1442008799 has 48 divisors (see below), whose sum is σ = 1948595616. Its totient is φ = 1051545600.

The previous prime is 1442008783. The next prime is 1442008811. The reversal of 1442008799 is 9978002441.

It is not a de Polignac number, because 1442008799 - 24 = 1442008783 is a prime.

It is a super-3 number, since 3×14420087993 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442008199) 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, 2207957 + ... + 2208609.

It is an arithmetic number, because the mean of its divisors is an integer number (40595742).

Almost surely, 21442008799 is an apocalyptic number.

1442008799 is a deficient number, since it is larger than the sum of its proper divisors (506586817).

1442008799 is a wasteful number, since it uses less digits than its factorization.

1442008799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 1442008799 is about 37973.7909484950. The cubic root of 1442008799 is about 1129.7680885186.

The spelling of 1442008799 in words is "one billion, four hundred forty-two million, eight thousand, seven hundred ninety-nine".

Divisors: 1 7 11 17 49 77 119 187 241 539 653 833 1309 1687 2651 4097 4571 7183 9163 11101 11809 18557 28679 31997 45067 50281 77707 122111 129899 157373 200753 315469 351967 543949 854777 1101611 1731103 2208283 2675341 5983439 7711277 12117721 18727387 29428751 84824047 131091709 206001257 1442008799