Search a number
-
+
401254001122323 = 319294156511047701
BaseRepresentation
bin101101100111100000011101…
…0001100111001110000010011
31221121201111201020121110201210
41123033000322030321300103
5410043121143241403243
63541221313211031203
7150342434130410646
oct13317007214716023
91847644636543653
10401254001122323
11106940958a661a8
123900586913b503
13142b81227ca97b
147112b23a29a5d
15315c80daa6933
hex16cf03a339c13

401254001122323 has 64 divisors (see below), whose sum is σ = 596898459763200. Its totient is φ = 238674441600000.

The previous prime is 401254001122321. The next prime is 401254001122333. The reversal of 401254001122323 is 323221100452104.

It is a happy number.

It is not a de Polignac number, because 401254001122323 - 21 = 401254001122321 is a prime.

It is a super-3 number, since 3×4012540011223233 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (401254001122321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382461373 + ... + 383509073.

It is an arithmetic number, because the mean of its divisors is an integer number (9326538433800).

Almost surely, 2401254001122323 is an apocalyptic number.

401254001122323 is a deficient number, since it is larger than the sum of its proper divisors (195644458640877).

401254001122323 is a wasteful number, since it uses less digits than its factorization.

401254001122323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053444.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 401254001122323 its reverse (323221100452104), we get a palindrome (724475101574427).

The spelling of 401254001122323 in words is "four hundred one trillion, two hundred fifty-four billion, one million, one hundred twenty-two thousand, three hundred twenty-three".

Divisors: 1 3 19 29 41 57 87 123 551 779 1189 1653 2337 3567 5651 16953 22591 67773 107369 163879 231691 322107 491637 695073 1047701 3113701 3143103 4402129 6719039 9341103 13206387 19906319 20157117 30383329 42955741 59718957 91149987 127661741 128867223 382985223 577283251 816159079 1245716489 1731849753 2448477237 3737149467 5920558351 17761675053 23668613291 71005839873 112490608669 171696192179 242742892391 337471826007 515088576537 728228677173 3262227651401 4612114955429 7039543879339 9786682954203 13836344866287 21118631638017 133751333707441 401254001122323