Search a number
-
+
4130433240600 = 2335234883197347
BaseRepresentation
bin111100000110110001000…
…000011000111000011000
3112121212100222211211221010
4330012301000120320120
51020133111402144400
612441254515013520
7604261662155442
oct74066100307030
915555328754833
104130433240600
11135278597a887
1256860989a2a0
1323c66267c844
14103cb2183492
1572696d9b450
hex3c1b1018e18

4130433240600 has 96 divisors (see below), whose sum is σ = 12804774995520. Its totient is φ = 1101411707520.

The previous prime is 4130433240589. The next prime is 4130433240607. The reversal of 4130433240600 is 60423340314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130433240607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20831127 + ... + 21028473.

It is an arithmetic number, because the mean of its divisors is an integer number (133383072870).

Almost surely, 24130433240600 is an apocalyptic number.

4130433240600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4130433240600 is an abundant number, since it is smaller than the sum of its proper divisors (8674341754920).

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

4130433240600 is a wasteful number, since it uses less digits than its factorization.

4130433240600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232249 (or 232240 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 4130433240600 its reverse (60423340314), we get a palindrome (4190856580914).

The spelling of 4130433240600 in words is "four trillion, one hundred thirty billion, four hundred thirty-three million, two hundred forty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 34883 69766 104649 139532 174415 197347 209298 279064 348830 394694 418596 523245 592041 697660 789388 837192 872075 986735 1046490 1184082 1395320 1578776 1744150 1973470 2092980 2368164 2616225 2960205 3488300 3946940 4185960 4736328 4933675 5232450 5920410 6976600 7893880 9867350 10464900 11840820 14801025 19734700 20929800 23681640 29602050 39469400 59204100 118408200 6884055401 13768110802 20652166203 27536221604 34420277005 41304332406 55072443208 68840554010 82608664812 103260831015 137681108020 165217329624 172101385025 206521662030 275362216040 344202770050 413043324060 516304155075 688405540100 826086648120 1032608310150 1376811080200 2065216620300 4130433240600