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40321143333 = 3531103157331
BaseRepresentation
bin100101100011010100…
…111101001000100101
310212002001100022100000
4211203110331020211
51130034203041313
630305010011513
72625124030512
oct454324751045
9125061308300
1040321143333
1116111263859
127993576b99
133a57773cc3
141d470c6309
1510aecc0673
hex96353d225

40321143333 has 96 divisors (see below), whose sum is σ = 63544778752. Its totient is φ = 25519665600.

The previous prime is 40321143311. The next prime is 40321143413. The reversal of 40321143333 is 33334112304.

40321143333 is a `hidden beast` number, since 4 + 0 + 321 + 1 + 4 + 3 + 333 = 666.

It is not a de Polignac number, because 40321143333 - 29 = 40321142821 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 a junction number, because it is equal to n+sod(n) for n = 40321143297 and 40321143306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40321643333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121815978 + ... + 121816308.

Almost surely, 240321143333 is an apocalyptic number.

It is an amenable number.

40321143333 is a deficient number, since it is larger than the sum of its proper divisors (23223635419).

40321143333 is a wasteful number, since it uses less digits than its factorization.

40321143333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 40321143333 its reverse (33334112304), we get a palindrome (73655255637).

The spelling of 40321143333 in words is "forty billion, three hundred twenty-one million, one hundred forty-three thousand, three hundred thirty-three".

Divisors: 1 3 9 27 31 81 93 103 157 243 279 309 331 471 837 927 993 1413 2511 2781 2979 3193 4239 4867 7533 8343 8937 9579 10261 12717 14601 16171 25029 26811 28737 30783 34093 38151 43803 48513 51967 80433 86211 92349 102279 131409 145539 155901 258633 277047 306837 394227 436617 467703 501301 775899 831141 920511 1056883 1182681 1309851 1403109 1503903 1610977 2493423 2761533 3170649 3929553 4209327 4511709 4832931 5352601 8284599 9511947 12627981 13535127 14498793 16057803 28535841 40605381 43496379 48173409 85607523 121816143 130489137 144520227 165930631 256822569 391467411 433560681 497791893 1300682043 1493375679 4480127037 13440381111 40321143333