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4130041011140 = 2251131391116173
BaseRepresentation
bin111100000110011001101…
…000001001101111000100
3112121211100122210112021002
4330012121220021233010
51020131310444324030
612441151544112432
7604246160236352
oct74063150115704
915554318715232
104130041011140
1113525a4532000
1256851a465718
1323c5cc32c0c5
14103c760427d2
1572672720245
hex3c199a09bc4

4130041011140 has 96 divisors (see below), whose sum is σ = 9608382967680. Its totient is φ = 1491027204480.

The previous prime is 4130041011043. The next prime is 4130041011191. The reversal of 4130041011140 is 411101400314.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 3142094 + ... + 4258266.

It is an arithmetic number, because the mean of its divisors is an integer number (100087322580).

Almost surely, 24130041011140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130041011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804191483840).

4130041011140 is an abundant number, since it is smaller than the sum of its proper divisors (5478341956540).

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

4130041011140 is a wasteful number, since it uses less digits than its factorization.

4130041011140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116354 (or 1116330 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 4130041011140 its reverse (411101400314), we get a palindrome (4541142411454).

The spelling of 4130041011140 in words is "four trillion, one hundred thirty billion, forty-one million, eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 139 220 242 278 484 556 605 695 1210 1331 1390 1529 2420 2662 2780 3058 5324 6116 6655 7645 13310 15290 16819 26620 30580 33638 67276 84095 168190 185009 336380 370018 740036 925045 1116173 1850090 2232346 3700180 4464692 5580865 11161730 12277903 22323460 24555806 49111612 61389515 122779030 135056933 155148047 245558060 270113866 310296094 540227732 620592188 675284665 775740235 1350569330 1485626263 1551480470 1706628517 2701138660 2971252526 3102960940 3413257034 5942505052 6826514068 7428131315 8533142585 14856262630 17066285170 18772913687 29712525260 34132570340 37545827374 75091654748 93864568435 187729136870 206502050557 375458273740 413004101114 826008202228 1032510252785 2065020505570 4130041011140