Search a number
-
+
40220203140 = 223251317188121
BaseRepresentation
bin100101011101010011…
…111001100010000100
310211211000102000102100
4211131103321202010
51124332333000030
630251002312100
72622460041315
oct453523714204
9124730360370
1040220203140
111606a28aa07
1279657b8630
133a3c891590
141d3792c60c
1510a5ed2360
hex95d4f9884

40220203140 has 72 divisors (see below), whose sum is σ = 131386004568. Its totient is φ = 9900357120.

The previous prime is 40220203087. The next prime is 40220203159. The reversal of 40220203140 is 4130202204.

40220203140 is a `hidden beast` number, since 402 + 20 + 203 + 1 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 213802884 + 40006400256 = 14622^2 + 200016^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8591721 + ... + 8596400.

It is an arithmetic number, because the mean of its divisors is an integer number (1824805619).

Almost surely, 240220203140 is an apocalyptic number.

It is an amenable number.

40220203140 is an abundant number, since it is smaller than the sum of its proper divisors (91165801428).

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

40220203140 is a wasteful number, since it uses less digits than its factorization.

40220203140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17188149 (or 17188144 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40220203140 its reverse (4130202204), we get a palindrome (44350405344).

The spelling of 40220203140 in words is "forty billion, two hundred twenty million, two hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 17188121 34376242 51564363 68752484 85940605 103128726 154693089 171881210 206257452 223445573 257821815 309386178 343762420 446891146 515643630 618772356 670336719 773465445 893782292 1031287260 1117227865 1340673438 1546930890 2011010157 2234455730 2681346876 3093861780 3351683595 4022020314 4468911460 6703367190 8044040628 10055050785 13406734380 20110101570 40220203140