Search a number
-
+
2040131142 = 2327233122709
BaseRepresentation
bin111100110011001…
…1110111001000110
312021011212101210200
41321212132321012
513134233144032
6534235031330
7101361554130
oct17146367106
95234771720
102040131142
119576677a5
1248b29b546
132668887ba
14154d44050
15be18d47c
hex7999ee46

2040131142 has 96 divisors (see below), whose sum is σ = 5441679360. Its totient is φ = 539542080.

The previous prime is 2040131129. The next prime is 2040131167. The reversal of 2040131142 is 2411310402.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78484 + ... + 101192.

It is an arithmetic number, because the mean of its divisors is an integer number (56684160).

Almost surely, 22040131142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040131142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720839680).

2040131142 is an abundant number, since it is smaller than the sum of its proper divisors (3401548218).

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

2040131142 is a wasteful number, since it uses less digits than its factorization.

2040131142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22778 (or 22775 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2040131142 is about 45167.8109055553. The cubic root of 2040131142 is about 1268.2923174272.

Adding to 2040131142 its reverse (2411310402), we get a palindrome (4451441544).

The spelling of 2040131142 in words is "two billion, forty million, one hundred thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 31 42 46 62 63 69 93 126 138 161 186 207 217 279 322 414 434 483 558 651 713 966 1302 1426 1449 1953 2139 2898 3906 4278 4991 6417 9982 12834 14973 22709 29946 44919 45418 68127 89838 136254 158963 204381 317926 408762 476889 522307 703979 953778 1044614 1407958 1430667 1566921 2111937 2861334 3133842 3656149 4223874 4700763 4927853 6335811 7312298 9401526 9855706 10968447 12671622 14783559 16191517 21936894 29567118 32383034 32905341 44350677 48574551 65810682 88701354 97149102 113340619 145723653 226681238 291447306 340021857 680043714 1020065571 2040131142