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2413332141420 = 22351033791030361
BaseRepresentation
bin100011000111100101110…
…011100001010101101100
322112201020021012011210110
4203013211303201111230
5304020001012011140
65044400335140020
7336233422511034
oct43074563412554
98481207164713
102413332141420
11850541095382
1232b878074610
13146765016a95
1484b3d55a8c4
1542b9a085380
hex231e5ce156c

2413332141420 has 96 divisors (see below), whose sum is σ = 6840944248320. Its totient is φ = 635624962560.

The previous prime is 2413332141377. The next prime is 2413332141421. The reversal of 2413332141420 is 241412333142.

2413332141420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2413332141421) 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, 1827040 + ... + 2857400.

It is an arithmetic number, because the mean of its divisors is an integer number (71259835920).

Almost surely, 22413332141420 is an apocalyptic number.

2413332141420 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 2413332141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420472124160).

2413332141420 is an abundant number, since it is smaller than the sum of its proper divisors (4427612106900).

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

2413332141420 is a wasteful number, since it uses less digits than its factorization.

2413332141420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030855 (or 1030853 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 2413332141420 its reverse (241412333142), we get a palindrome (2654744474562).

The spelling of 2413332141420 in words is "two trillion, four hundred thirteen billion, three hundred thirty-two million, one hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 379 412 515 618 758 1030 1137 1236 1516 1545 1895 2060 2274 3090 3790 4548 5685 6180 7580 11370 22740 39037 78074 117111 156148 195185 234222 390370 468444 585555 780740 1030361 1171110 2060722 2342220 3091083 4121444 5151805 6182166 10303610 12364332 15455415 20607220 30910830 61821660 106127183 212254366 318381549 390506819 424508732 530635915 636763098 781013638 1061271830 1171520457 1273526196 1562027276 1591907745 1952534095 2122543660 2343040914 3183815490 3905068190 4686081828 5857602285 6367630980 7810136380 11715204570 23430409140 40222202357 80444404714 120666607071 160888809428 201111011785 241333214142 402222023570 482666428284 603333035355 804444047140 1206666070710 2413332141420