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144204410241 = 352323730319
BaseRepresentation
bin1000011001001101000…
…0001010110110000001
3111210012212001001100000
42012103100022312001
54330312312111431
6150125132550213
713263343156053
oct2062320126601
9453185031300
10144204410241
115617a6a2851
1223b45922369
13107a19531c8
146d9db918d3
153b3edc29e6
hex219340ad81

144204410241 has 72 divisors (see below), whose sum is σ = 231920590720. Its totient is φ = 89468175456.

The previous prime is 144204410191. The next prime is 144204410249. The reversal of 144204410241 is 142014402441.

It is a happy number.

144204410241 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 0 + 4 + 410 + 241 = 666.

It is not a de Polignac number, because 144204410241 - 27 = 144204410113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144204410249) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4741080 + ... + 4771398.

Almost surely, 2144204410241 is an apocalyptic number.

It is an amenable number.

144204410241 is a deficient number, since it is larger than the sum of its proper divisors (87716180479).

144204410241 is an equidigital number, since it uses as much as digits as its factorization.

144204410241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30417 (or 30382 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 144204410241 its reverse (142014402441), we get a palindrome (286218812682).

The spelling of 144204410241 in words is "one hundred forty-four billion, two hundred four million, four hundred ten thousand, two hundred forty-one".

Divisors: 1 3 9 23 27 37 69 81 111 207 243 333 529 621 851 999 1587 1863 2553 2997 4761 5589 7659 8991 14283 19573 22977 30319 42849 58719 68931 90957 128547 176157 206793 272871 528471 697337 818613 1121803 1585413 2092011 2455839 3365409 4756239 6276033 7367517 10096227 16038751 18828099 25801469 30288681 48116253 56484297 77404407 90866043 144348759 169452891 232213221 272598129 433046277 593433787 696639663 1299138831 1780301361 2089918989 3897416493 5340904083 6269756967 16022712249 48068136747 144204410241