Search a number
-
+
1042441101405 = 325112781775707
BaseRepresentation
bin11110010101101100101…
…01001110000001011101
310200122201111211202120200
433022312111032001131
5114034404410221110
62114520230334113
7135212443106364
oct17126625160135
93618644752520
101042441101405
11372107909610
1214a0474ba339
13773bccc79b2
1438650cd27db
151c1b26e26c0
hexf2b654e05d

1042441101405 has 48 divisors (see below), whose sum is σ = 1971258254784. Its totient is φ = 505401143040.

The previous prime is 1042441101367. The next prime is 1042441101419. The reversal of 1042441101405 is 5041011442401.

It is a happy number.

1042441101405 is a `hidden beast` number, since 1 + 0 + 4 + 244 + 1 + 10 + 1 + 405 = 666.

It is not a de Polignac number, because 1042441101405 - 29 = 1042441100893 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13731562 + ... + 13807268.

It is an arithmetic number, because the mean of its divisors is an integer number (41067880308).

Almost surely, 21042441101405 is an apocalyptic number.

1042441101405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1042441101405 is a deficient number, since it is larger than the sum of its proper divisors (928817153379).

1042441101405 is a wasteful number, since it uses less digits than its factorization.

1042441101405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103546 (or 103543 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 1042441101405 its reverse (5041011442401), we get a palindrome (6083452543806).

The spelling of 1042441101405 in words is "one trillion, forty-two billion, four hundred forty-one million, one hundred one thousand, four hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 27817 75707 83451 139085 227121 250353 305987 378535 417255 681363 832777 917961 1135605 1251765 1529935 2498331 2753883 3406815 4163885 4589805 7494993 12491655 13769415 37474965 2105941619 6317824857 10529708095 18953474571 23165357809 31589124285 69496073427 94767372855 115826789045 208488220281 347480367135 1042441101405