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144411400210401 = 3423642112072187
BaseRepresentation
bin100000110101011101100110…
…001101100000011111100001
3200221022121001210000022020000
4200311131212031200133201
5122412014021423213101
61231045403103210213
742263244056265222
oct4065354615403741
9627277053008200
10144411400210401
1142017592691aa5
1214243a918a6969
136276c2395809c
1427937988bb249
1511a6712b35486
hex8357663607e1

144411400210401 has 40 divisors (see below), whose sum is σ = 225140125239744. Its totient is φ = 92074079734560.

The previous prime is 144411400210361. The next prime is 144411400210409. The reversal of 144411400210401 is 104012004114441.

144411400210401 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 1 + 1 + 40 + 0 + 210 + 401 = 666.

It is not a de Polignac number, because 144411400210401 - 29 = 144411400209889 is a prime.

It is a super-3 number, since 3×1444114002104013 (a number of 43 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (144411400210409) 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 39 ways as a sum of consecutive naturals, for example, 5926230 + ... + 17998416.

Almost surely, 2144411400210401 is an apocalyptic number.

It is an amenable number.

144411400210401 is a deficient number, since it is larger than the sum of its proper divisors (80728725029343).

144411400210401 is a wasteful number, since it uses less digits than its factorization.

144411400210401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12078643 (or 12078634 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 144411400210401 its reverse (104012004114441), we get a palindrome (248423404324842).

The spelling of 144411400210401 in words is "one hundred forty-four trillion, four hundred eleven billion, four hundred million, two hundred ten thousand, four hundred one".

Divisors: 1 3 9 23 27 69 81 207 621 1863 6421 19263 57789 147683 173367 443049 520101 1329147 3987441 11962323 12072187 36216561 108649683 277660301 325949049 832980903 977847147 2498942709 7496828127 22490484381 77515512727 232546538181 697639614543 1782856792721 2092918843629 5348570378163 6278756530887 16045711134489 48137133403467 144411400210401