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1442401101141 = 371113480320047
BaseRepresentation
bin10100111111010101110…
…011100010010101010101
312002220002102010220112020
4110333111303202111111
5142113014140214031
63022344021243353
7206132021031510
oct24772563422525
95086072126466
101442401101141
1150679a900140
121b3669263559
13a603026c330
144db53a41d77
15277c0839096
hex14fd5ce2555

1442401101141 has 32 divisors (see below), whose sum is σ = 2582200578048. Its totient is φ = 691660866240.

The previous prime is 1442401101107. The next prime is 1442401101143. The reversal of 1442401101141 is 1411011042441.

It is not a de Polignac number, because 1442401101141 - 29 = 1442401100629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442401101143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240157021 + ... + 240163026.

It is an arithmetic number, because the mean of its divisors is an integer number (80693768064).

Almost surely, 21442401101141 is an apocalyptic number.

1442401101141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1442401101141 is a deficient number, since it is larger than the sum of its proper divisors (1139799476907).

1442401101141 is a wasteful number, since it uses less digits than its factorization.

1442401101141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480320081.

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 1442401101141 its reverse (1411011042441), we get a palindrome (2853412143582).

The spelling of 1442401101141 in words is "one trillion, four hundred forty-two billion, four hundred one million, one hundred one thousand, one hundred forty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 480320047 1440960141 3362240329 5283520517 6244160611 10086720987 15850561551 18732481833 36984643619 43709124277 68685766721 110953930857 131127372831 206057300163 480800367047 1442401101141