Search a number
-
+
2120543440000 = 275493728289
BaseRepresentation
bin11110110110111010001…
…111010000110010000000
321111201111022121001222221
4132312322033100302000
5234220333110040000
64302055245140424
7306130020560446
oct36667217206200
97451438531887
102120543440000
11748354542477
122a2b8585a714
13124c7420306b
14748c6058b96
153a260a2c61a
hex1edba3d0c80

2120543440000 has 160 divisors (see below), whose sum is σ = 5284781063100. Its totient is φ = 847282176000.

The previous prime is 2120543439997. The next prime is 2120543440019. The reversal of 2120543440000 is 443450212.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 170185951296 + 1950357488704 = 412536^2 + 1396552^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74945856 + ... + 74974144.

Almost surely, 22120543440000 is an apocalyptic number.

2120543440000 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 2120543440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642390531550).

2120543440000 is an abundant number, since it is smaller than the sum of its proper divisors (3164237623100).

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

2120543440000 is an frugal number, since it uses more digits than its factorization.

2120543440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29260 (or 29233 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 2120543440000 its reverse (443450212), we get a palindrome (2120986890212).

The spelling of 2120543440000 in words is "two trillion, one hundred twenty billion, five hundred forty-three million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 937 1000 1250 1600 1874 2000 2500 3200 3748 4000 4685 5000 7496 8000 9370 10000 14992 16000 18740 20000 23425 28289 29984 37480 40000 46850 56578 59968 74960 80000 93700 113156 117125 119936 141445 149920 187400 226312 234250 282890 299840 374800 452624 468500 565780 585625 599680 707225 749600 905248 937000 1131560 1171250 1414450 1499200 1810496 1874000 2263120 2342500 2828900 2998400 3536125 3620992 3748000 4526240 4685000 5657800 7072250 7496000 9052480 9370000 11315600 14144500 14992000 17680625 18104960 18740000 22631200 26506793 28289000 35361250 37480000 45262400 53013586 56578000 70722500 74960000 90524800 106027172 113156000 132533965 141445000 212054344 226312000 265067930 282890000 424108688 452624000 530135860 565780000 662669825 848217376 1060271720 1131560000 1325339650 1696434752 2120543440 2263120000 2650679300 3313349125 3392869504 4241086880 5301358600 6626698250 8482173760 10602717200 13253396500 16566745625 16964347520 21205434400 26506793000 33133491250 42410868800 53013586000 66266982500 84821737600 106027172000 132533965000 212054344000 265067930000 424108688000 530135860000 1060271720000 2120543440000