Search a number
-
+
1005422042604 = 223724121017193
BaseRepresentation
bin11101010000101111101…
…00101101110111101100
310120010011120221201122210
432220113310231313230
5112433101020330404
62045515015410420
7132432203232300
oct16502764556754
93503146851583
101005422042604
11358440593841
12142a35983a10
1373a706b5a85
143693c5a9d00
151b247787689
hexea17d2ddec

1005422042604 has 108 divisors (see below), whose sum is σ = 2797189918152. Its totient is φ = 280256739840.

The previous prime is 1005422042567. The next prime is 1005422042617. The reversal of 1005422042604 is 4062402245001.

It is a super-2 number, since 2×10054220426042 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 479832 + ... + 1497024.

Almost surely, 21005422042604 is an apocalyptic number.

1005422042604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005422042604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398594959076).

1005422042604 is an abundant number, since it is smaller than the sum of its proper divisors (1791767875548).

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

1005422042604 is a wasteful number, since it uses less digits than its factorization.

1005422042604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017296 (or 1017246 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1005422042604 its reverse (4062402245001), we get a palindrome (5067824287605).

The spelling of 1005422042604 in words is "one trillion, five billion, four hundred twenty-two million, forty-two thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 287 294 492 574 588 861 1148 1681 1722 2009 3362 3444 4018 5043 6027 6724 8036 10086 11767 12054 20172 23534 24108 35301 47068 70602 82369 141204 164738 247107 329476 494214 988428 1017193 2034386 3051579 4068772 6103158 7120351 12206316 14240702 21361053 28481404 41704913 42722106 49842457 83409826 85444212 99684914 125114739 149527371 166819652 199369828 250229478 291934391 299054742 500458956 583868782 598109484 875803173 1167737564 1709901433 1751606346 2043540737 3419802866 3503212692 4087081474 5129704299 6130622211 6839605732 8174162948 10259408598 11969310031 12261244422 20518817196 23938620062 24522488844 35907930093 47877240124 71815860186 83785170217 143631720372 167570340434 251355510651 335140680868 502711021302 1005422042604