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4342520314000 = 2453111071844741
BaseRepresentation
bin111111001100010010011…
…000010111100010010000
3120101010210201002111000201
4333030102120113202100
51032121440200022000
613122532025024544
7625510462432501
oct77142230274220
916333721074021
104342520314000
11142471a565140
125a1739325154
13256661b9c34b
1411027166aba8
1577e5b54096a
hex3f312617890

4342520314000 has 160 divisors (see below), whose sum is σ = 11561839316352. Its totient is φ = 1564339520000.

The previous prime is 4342520313883. The next prime is 4342520314007. The reversal of 4342520314000 is 4130252434.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4342520314000.

It is not an unprimeable number, because it can be changed into a prime (4342520314007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1431630 + ... + 3276370.

Almost surely, 24342520314000 is an apocalyptic number.

4342520314000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4342520314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780919658176).

4342520314000 is an abundant number, since it is smaller than the sum of its proper divisors (7219319002352).

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

4342520314000 is a wasteful number, since it uses less digits than its factorization.

4342520314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844882 (or 1844866 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 4342520314000 its reverse (4130252434), we get a palindrome (4346650566434).

The spelling of 4342520314000 in words is "four trillion, three hundred forty-two billion, five hundred twenty million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 107 110 125 176 200 214 220 250 275 400 428 440 500 535 550 856 880 1000 1070 1100 1177 1375 1712 2000 2140 2200 2354 2675 2750 4280 4400 4708 5350 5500 5885 8560 9416 10700 11000 11770 13375 18832 21400 22000 23540 26750 29425 42800 47080 53500 58850 94160 107000 117700 147125 214000 235400 294250 470800 588500 1177000 1844741 2354000 3689482 7378964 9223705 14757928 18447410 20292151 29515856 36894820 40584302 46118525 73789640 81168604 92237050 101460755 147579280 162337208 184474100 197387287 202921510 230592625 324674416 368948200 394774574 405843020 461185250 507303775 737896400 789549148 811686040 922370500 986936435 1014607550 1579098296 1623372080 1844741000 1973872870 2029215100 2171260157 2536518875 3158196592 3689482000 3947745740 4058430200 4342520314 4934682175 5073037750 7895491480 8116860400 8685040628 9869364350 10146075500 10856300785 15790982960 17370081256 19738728700 20292151000 21712601570 24673410875 34740162512 39477457400 40584302000 43425203140 49346821750 54281503925 78954914800 86850406280 98693643500 108563007850 173700812560 197387287000 217126015700 271407519625 394774574000 434252031400 542815039250 868504062800 1085630078500 2171260157000 4342520314000