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4034131221321 = 32192943143913147
BaseRepresentation
bin111010101101000100111…
…101010101101101001001
3112021122210112121101120100
4322231010331111231021
51012043400043040241
612325130532320013
7564312350414025
oct72550475255511
915248715541510
104034131221321
1113159579a53a3
12551a12473009
13233556037896
14dd3782d9385
156ee0c6299b6
hex3ab44f55b49

4034131221321 has 96 divisors (see below), whose sum is σ = 6497846784000. Its totient is φ = 2400952627584.

The previous prime is 4034131221301. The next prime is 4034131221331. The reversal of 4034131221321 is 1231221314304.

4034131221321 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 1 + 312 + 21 + 321 = 666.

It is not a de Polignac number, because 4034131221321 - 29 = 4034131220809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4034131221301) 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 95 ways as a sum of consecutive naturals, for example, 306841470 + ... + 306854616.

It is an arithmetic number, because the mean of its divisors is an integer number (67685904000).

Almost surely, 24034131221321 is an apocalyptic number.

It is an amenable number.

4034131221321 is a deficient number, since it is larger than the sum of its proper divisors (2463715562679).

4034131221321 is a wasteful number, since it uses less digits than its factorization.

4034131221321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14683 (or 14680 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4034131221321 its reverse (1231221314304), we get a palindrome (5265352535625).

The spelling of 4034131221321 in words is "four trillion, thirty-four billion, one hundred thirty-one million, two hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 19 29 43 57 87 129 171 261 387 551 817 1247 1439 1653 2451 3741 4317 4959 7353 11223 12951 13147 23693 27341 39441 41731 61877 71079 82023 118323 125193 185631 213237 246069 249793 375579 381263 556893 565321 749379 792889 1143789 1175663 1695963 1794433 2248137 2378667 3431367 3526989 5087889 5383299 7136001 7243997 10580967 10741099 16149897 16394309 18918533 21731991 32223297 34094227 49182927 56755599 65195973 96669891 102282681 147548781 170266797 306848043 311491871 359452127 548637457 813496919 934475613 1078356381 1645912371 2440490757 2803426839 3235069143 4937737113 7321472271 10424111683 15456441461 23591410651 31272335049 46369324383 70774231953 93817005147 139107973149 212322695859 448236802369 1344710407107 4034131221321