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400401443133231 = 323297912043210323
BaseRepresentation
bin101101100001010011011100…
…1110010010001011100101111
31221111201000010000100020202120
41123002212321302101130233
5404440134123420230411
63535325514510324023
7150224023011154011
oct13302467162213457
91844630100306676
10400401443133231
11106642331228391
1238aa85951b9613
1314255903b5a587
1470c376734a1b1
15314556158c106
hex16c29b9c9172f

400401443133231 has 64 divisors (see below), whose sum is σ = 583635975782400. Its totient is φ = 243382101266304.

The previous prime is 400401443133227. The next prime is 400401443133311. The reversal of 400401443133231 is 132331344104004.

It is not a de Polignac number, because 400401443133231 - 22 = 400401443133227 is a prime.

It is a super-2 number, since 2×4004014431332312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400401443133192 and 400401443133201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400401443173231) 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, 1903640236 + ... + 1903850558.

It is an arithmetic number, because the mean of its divisors is an integer number (9119312121600).

Almost surely, 2400401443133231 is an apocalyptic number.

400401443133231 is a deficient number, since it is larger than the sum of its proper divisors (183234532649169).

400401443133231 is a wasteful number, since it uses less digits than its factorization.

400401443133231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222500.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 400401443133231 its reverse (132331344104004), we get a palindrome (532732787237235).

The spelling of 400401443133231 in words is "four hundred trillion, four hundred one billion, four hundred forty-three million, one hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 23 29 69 79 87 237 667 1817 2001 2291 5451 6873 12043 36129 52693 158079 210323 276989 349247 630969 830967 951397 1047741 2854191 4837429 6099367 8032681 14512287 16615517 18298101 21882131 24098043 27590513 49846551 65646393 82771539 140285441 382156891 420856323 481849993 634581799 1146470673 1445549979 1903745397 2532919889 7598759667 11082549839 33247649517 58257157447 73454676781 174771472341 200100671231 220364030343 600302013693 1689457565963 4602315438313 5068372697889 5802919465699 13806946314939 17408758397097 133467147711077 400401443133231