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4214204024142 = 237217098387377
BaseRepresentation
bin111101010100110010001…
…000100100010101001110
3112220212121010100120111210
4331110302020210111032
51023021142212233032
612543551213355250
7613315622113200
oct75246210442516
915825533316453
104214204024142
1113852633423a2
125808a8498b26
13247522a8c608
14107d7ba46770
157494b4142cc
hex3d53222454e

4214204024142 has 48 divisors (see below), whose sum is σ = 9810212803920. Its totient is φ = 1203353609472.

The previous prime is 4214204024117. The next prime is 4214204024189. The reversal of 4214204024142 is 2414204024124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3691243 + ... + 4696134.

It is an arithmetic number, because the mean of its divisors is an integer number (204379433415).

Almost surely, 24214204024142 is an apocalyptic number.

4214204024142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4214204024142 is an abundant number, since it is smaller than the sum of its proper divisors (5596008779778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4214204024142 is a wasteful number, since it uses less digits than its factorization.

4214204024142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8389105 (or 8389098 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 4214204024142 its reverse (2414204024124), we get a palindrome (6628408048266).

The spelling of 4214204024142 in words is "four trillion, two hundred fourteen billion, two hundred four million, twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 1709 3418 5127 10254 11963 23926 35889 71778 83741 167482 251223 502446 8387377 16774754 25162131 50324262 58711639 117423278 176134917 352269834 410981473 821962946 1232944419 2465888838 14334027293 28668054586 43002081879 86004163758 100338191051 200676382102 301014573153 602029146306 702367337357 1404734674714 2107102012071 4214204024142