Search a number
-
+
2440304002010 = 257289304118401
BaseRepresentation
bin100011100000101101011…
…101000000001111011010
322122021211222111122211002
4203200231131000033122
5304440220311031020
65105020555505002
7341210002525100
oct43405535001732
98567758448732
102440304002010
11860a21a99456
12334b44a58162
13149172c244c4
148617b755c70
1543727e0c975
hex2382d7403da

2440304002010 has 96 divisors (see below), whose sum is σ = 5169090148560. Its totient is φ = 826957824000.

The previous prime is 2440304002001. The next prime is 2440304002021. The reversal of 2440304002010 is 102004030442.

It can be written as a sum of positive squares in 8 ways, for example, as 1362521587441 + 1077782414569 = 1167271^2 + 1038163^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132608810 + ... + 132627210.

Almost surely, 22440304002010 is an apocalyptic number.

2440304002010 is an abundant number, since it is smaller than the sum of its proper divisors (2728786146550).

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

2440304002010 is a wasteful number, since it uses less digits than its factorization.

2440304002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21552 (or 21545 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2440304002010 its reverse (102004030442), we get a palindrome (2542308032452).

The spelling of 2440304002010 in words is "two trillion, four hundred forty billion, three hundred four million, two thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 89 98 178 245 445 490 623 890 1246 3041 3115 4361 6082 6230 8722 15205 18401 21287 21805 30410 36802 42574 43610 92005 106435 128807 149009 184010 212870 257614 270649 298018 541298 644035 745045 901649 1288070 1353245 1490090 1637689 1803298 1894543 2706490 3275378 3789086 4508245 8188445 9016490 9472715 11463823 13261801 16376890 18945430 22927646 26523602 55957441 57319115 66309005 80246761 111914882 114638230 132618010 160493522 279787205 391702087 401233805 559574410 783404174 802467610 1958510435 2741914609 3917020870 4980212249 5483829218 9960424498 13709573045 24901061245 27419146090 34861485743 49802122490 69722971486 174307428715 244030400201 348614857430 488060800402 1220152001005 2440304002010