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400424014433421 = 321189148749936121
BaseRepresentation
bin101101100001011101111101…
…1001000111100110010001101
31221111210011101001020002202200
41123002323323020330302031
5404441021340143332141
63535344130331512113
7150225452235066636
oct13302737310746215
91844704331202680
10400424014433421
1110665096412a290
1238ab0a342b8639
1314257a90169bc4
1470c48a8d2288d
153145e32e19ab6
hex16c2efb23cc8d

400424014433421 has 96 divisors (see below), whose sum is σ = 638722039887360. Its totient is φ = 239705903923200.

The previous prime is 400424014433419. The next prime is 400424014433447. The reversal of 400424014433421 is 124334410424004.

400424014433421 is a `hidden beast` number, since 40 + 0 + 4 + 24 + 0 + 144 + 33 + 421 = 666.

It is not a de Polignac number, because 400424014433421 - 21 = 400424014433419 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400424014433221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65418068241 + ... + 65418074361.

It is an arithmetic number, because the mean of its divisors is an integer number (6653354582160).

Almost surely, 2400424014433421 is an apocalyptic number.

It is an amenable number.

400424014433421 is a deficient number, since it is larger than the sum of its proper divisors (238298025453939).

400424014433421 is a wasteful number, since it uses less digits than its factorization.

400424014433421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12707 (or 12704 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 400424014433421 its reverse (124334410424004), we get a palindrome (524758424857425).

The spelling of 400424014433421 in words is "four hundred trillion, four hundred twenty-four billion, fourteen million, four hundred thirty-three thousand, four hundred twenty-one".

Divisors: 1 3 9 11 33 89 99 267 801 979 1487 2937 4461 4993 6121 8811 13383 14979 16357 18363 44937 49071 54923 55089 67331 132343 147213 164769 201993 397029 444377 494307 544769 605979 1191087 1333131 1455773 1634307 3999393 4367319 4888147 4902921 5992459 7424591 9101927 13101957 14664441 17977377 22273773 27305781 30562153 43993323 53932131 66821319 81670501 81917343 91686459 100121197 245011503 275059377 300363591 336183683 660788599 735034509 810071503 901090773 1008551049 1982365797 2430214509 2720031617 3025653147 5947097391 7268674589 7290643527 8160094851 8910786533 21806023767 24480284553 26732359599 29920347787 45445921511 65418071301 80197078797 89761043361 136337764533 269283130083 409013293599 499905136621 1499715409863 4044687014479 4499146229589 12134061043437 36402183130311 44491557159269 133474671477807 400424014433421