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4200102040434 = 2343193178947149
BaseRepresentation
bin111101000111101001100…
…101110001001101110010
3112212112012022222120120220
4331013221211301031302
51022303302110243214
612533300015113510
7612306305201106
oct75075145611562
915775168876526
104200102040434
11137a287118303
1257a011812896
132460b62c4061
14107400bc3906
15743c33889a9
hex3d1e9971372

4200102040434 has 64 divisors (see below), whose sum is σ = 8645107152000. Its totient is φ = 1359600463872.

The previous prime is 4200102040363. The next prime is 4200102040481. The reversal of 4200102040434 is 4340402010024.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 89057892 + ... + 89105040.

It is an arithmetic number, because the mean of its divisors is an integer number (135079799250).

Almost surely, 24200102040434 is an apocalyptic number.

4200102040434 is an abundant number, since it is smaller than the sum of its proper divisors (4445005111566).

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

4200102040434 is a wasteful number, since it uses less digits than its factorization.

4200102040434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49179.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4200102040434 its reverse (4340402010024), we get a palindrome (8540504050458).

The spelling of 4200102040434 in words is "four trillion, two hundred billion, one hundred two million, forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 43 86 129 193 258 386 579 1158 1789 3578 5367 8299 10734 16598 24897 47149 49794 76927 94298 141447 153854 230781 282894 345277 461562 690554 1035831 2027407 2071662 4054814 6082221 9099757 12164442 14846911 18199514 27299271 29693822 44540733 54598542 84349561 89081466 168699122 253048683 391289551 506097366 782579102 1173868653 2347737306 3627031123 7254062246 10881093369 16279465273 21762186738 32558930546 48838395819 97676791638 700017006739 1400034013478 2100051020217 4200102040434