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2141021234320 = 245228111732909
BaseRepresentation
bin11111001001111110110…
…011110110010010010000
321120200100110011210211121
4133021332303312102100
5240034302413444240
64315323243252024
7310453334134633
oct37117663662220
97520313153747
102141021234320
11756002741431
122a6b3b81a014
13126b88889717
14758a9995c1a
153aa5d6c704a
hex1f27ecf6490

2141021234320 has 40 divisors (see below), whose sum is σ = 4980057115320. Its totient is φ = 856032967680.

The previous prime is 2141021234281. The next prime is 2141021234329. The reversal of 2141021234320 is 234321201412.

It can be written as a sum of positive squares in 4 ways, for example, as 527267681424 + 1613753552896 = 726132^2 + 1270336^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2141021234329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5683975 + ... + 6048934.

It is an arithmetic number, because the mean of its divisors is an integer number (124501427883).

Almost surely, 22141021234320 is an apocalyptic number.

2141021234320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141021234320 is an abundant number, since it is smaller than the sum of its proper divisors (2839035881000).

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

2141021234320 is a wasteful number, since it uses less digits than its factorization.

2141021234320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11735203 (or 11735197 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2141021234320 its reverse (234321201412), we get a palindrome (2375342435732).

The spelling of 2141021234320 in words is "two trillion, one hundred forty-one billion, twenty-one million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2281 4562 9124 11405 18248 22810 36496 45620 91240 182480 11732909 23465818 46931636 58664545 93863272 117329090 187726544 234658180 469316360 938632720 26762765429 53525530858 107051061716 133813827145 214102123432 267627654290 428204246864 535255308580 1070510617160 2141021234320