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2144411203120 = 24567427393629
BaseRepresentation
bin11111001101001000110…
…111100011011000110000
321121000002201000001210121
4133031020313203120300
5240113223231444440
64321043502140024
7310633336322614
oct37151067433060
97530081001717
102144411203120
1175749224613a
122a7726b81614
131272a8cac714
1475b0bcb1344
153abab0ec34a
hex1f348de3630

2144411203120 has 80 divisors (see below), whose sum is σ = 5061408593760. Its totient is φ = 844755259392.

The previous prime is 2144411203069. The next prime is 2144411203133. The reversal of 2144411203120 is 213021144412.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22856466 + ... + 22950094.

It is an arithmetic number, because the mean of its divisors is an integer number (63267607422).

Almost surely, 22144411203120 is an apocalyptic number.

2144411203120 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 2144411203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530704296880).

2144411203120 is an abundant number, since it is smaller than the sum of its proper divisors (2916997390640).

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

2144411203120 is a wasteful number, since it uses less digits than its factorization.

2144411203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97982 (or 97976 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 2144411203120 its reverse (213021144412), we get a palindrome (2357432347532).

The spelling of 2144411203120 in words is "two trillion, one hundred forty-four billion, four hundred eleven million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 4273 5360 8546 17092 21365 34184 42730 68368 85460 93629 170920 187258 286291 341840 374516 468145 572582 749032 936290 1145164 1431455 1498064 1872580 2290328 2862910 3745160 4580656 5725820 6273143 7490320 11451640 12546286 22903280 25092572 31365715 50185144 62731430 100370288 125462860 250925720 400076717 501851440 800153434 1600306868 2000383585 3200613736 4000767170 6401227472 8001534340 16003068680 26805140039 32006137360 53610280078 107220560156 134025700195 214441120312 268051400390 428882240624 536102800780 1072205601560 2144411203120