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1442131401410 = 257224171217677
BaseRepresentation
bin10100111111000101101…
…110101101101011000010
312002212101121122202001022
4110333011232231223002
5142111441114321120
63022301144505442
7206122234441100
oct24770556555302
95085347582038
101442131401410
115066716417a7
121b35b2a7b282
13a5cb94200ab
144db29cb8c70
15277a6d13025
hex14fc5badac2

1442131401410 has 48 divisors (see below), whose sum is σ = 3020898384504. Its totient is φ = 494240076288.

The previous prime is 1442131401407. The next prime is 1442131401439. The reversal of 1442131401410 is 141041312441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1399306823929 + 42824577481 = 1182923^2 + 206941^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1442131401410.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 575492 + ... + 1793168.

Almost surely, 21442131401410 is an apocalyptic number.

1442131401410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1442131401410 is an abundant number, since it is smaller than the sum of its proper divisors (1578766983094).

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

1442131401410 is a wasteful number, since it uses less digits than its factorization.

1442131401410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220115 (or 1220108 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 1442131401410 its reverse (141041312441), we get a palindrome (1583172713851).

The spelling of 1442131401410 in words is "one trillion, four hundred forty-two billion, one hundred thirty-one million, four hundred one thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 2417 4834 12085 16919 24170 33838 84595 118433 169190 236866 592165 1184330 1217677 2435354 6088385 8523739 12176770 17047478 42618695 59666173 85237390 119332346 298330865 596661730 2943125309 5886250618 14715626545 20601877163 29431253090 41203754326 103009385815 144213140141 206018771630 288426280282 721065700705 1442131401410