Search a number
-
+
2040142398 = 237193389647
BaseRepresentation
bin111100110011010…
…0001101000111110
312021011212222020120
41321212201220332
513134234024043
6534235155410
7101361632010
oct17146415076
95234788216
102040142398
119576751a8
1248b2a5b66
13266890968
14154d481b0
15be191983
hex799a1a3e

2040142398 has 64 divisors (see below), whose sum is σ = 4706657280. Its totient is φ = 577492992.

The previous prime is 2040142397. The next prime is 2040142421. The reversal of 2040142398 is 8932410402.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040142397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3152911 + ... + 3153557.

It is an arithmetic number, because the mean of its divisors is an integer number (73541520).

Almost surely, 22040142398 is an apocalyptic number.

2040142398 is an abundant number, since it is smaller than the sum of its proper divisors (2666514882).

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

2040142398 is a wasteful number, since it uses less digits than its factorization.

2040142398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2040142398 is about 45167.9355073929. The cubic root of 2040142398 is about 1268.2946499361.

The spelling of 2040142398 in words is "two billion, forty million, one hundred forty-two thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 42 193 386 389 579 647 778 1158 1167 1294 1351 1941 2334 2702 2723 3882 4053 4529 5446 8106 8169 9058 13587 16338 27174 75077 124871 150154 225231 249742 251683 374613 450462 503366 525539 749226 755049 874097 1051078 1510098 1576617 1748194 1761781 2622291 3153234 3523562 5244582 5285343 10570686 48574819 97149638 145724457 291448914 340023733 680047466 1020071199 2040142398