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2432141124040 = 2358913718672671
BaseRepresentation
bin100011011001000110111…
…010000110000111001000
322121111210002121111100101
4203121012322012013020
5304322011111432130
65101151001015144
7340500503311045
oct43310672060710
98544702544311
102432141124040
11858513293411
123334471844b4
13148471a239b4
1485a055b01cc
15433eb48c1ca
hex23646e861c8

2432141124040 has 128 divisors (see below), whose sum is σ = 5579270668800. Its totient is φ = 954035343360.

The previous prime is 2432141124029. The next prime is 2432141124043. The reversal of 2432141124040 is 404211412342.

It is not an unprimeable number, because it can be changed into a prime (2432141124043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910571905 + ... + 910574575.

It is an arithmetic number, because the mean of its divisors is an integer number (43588052100).

Almost surely, 22432141124040 is an apocalyptic number.

2432141124040 is a gapful number since it is divisible by the number (20) 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 2432141124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789635334400).

2432141124040 is an abundant number, since it is smaller than the sum of its proper divisors (3147129544760).

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

2432141124040 is a wasteful number, since it uses less digits than its factorization.

2432141124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4775 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 2432141124040 its reverse (404211412342), we get a palindrome (2836352536382).

The spelling of 2432141124040 in words is "two trillion, four hundred thirty-two billion, one hundred forty-one million, one hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 89 137 178 274 356 445 548 685 712 890 1096 1370 1780 1867 2671 2740 3560 3734 5342 5480 7468 9335 10684 12193 13355 14936 18670 21368 24386 26710 37340 48772 53420 60965 74680 97544 106840 121930 166163 237719 243860 255779 332326 365927 475438 487720 511558 664652 731854 830815 950876 1023116 1188595 1278895 1329304 1463708 1661630 1829635 1901752 2046232 2377190 2557790 2927416 3323260 3659270 4754380 4986757 5115580 6646520 7318540 9508760 9973514 10231160 14637080 19947028 22764331 24933785 32567503 39894056 45528662 49867570 65135006 91057324 99735140 113821655 130270012 162837515 182114648 199470280 227643310 260540024 325675030 443821373 455286620 651350060 683185709 887642746 910573240 1302700120 1366371418 1775285492 2219106865 2732742836 3415928545 3550570984 4438213730 5465485672 6831857090 8876427460 13663714180 17752854920 27327428360 60803528101 121607056202 243214112404 304017640505 486428224808 608035281010 1216070562020 2432141124040