Search a number
-
+
135440214312 = 23313676479153
BaseRepresentation
bin111111000100011011…
…1011010100100101000
3110221121001122202200210
41332020313122210220
54204340143324222
6142115333501120
712533222553324
oct1761067324450
9427531582623
10135440214312
1152492519717
12222ba7a17a0
13ca05cb4c60
1467abbdc984
1537ca773d0c
hex1f88dda928

135440214312 has 64 divisors (see below), whose sum is σ = 370089276480. Its totient is φ = 41051907072.

The previous prime is 135440214277. The next prime is 135440214317. The reversal of 135440214312 is 213412044531.

It is a self number, because there is not a number n which added to its sum of digits gives 135440214312.

It is not an unprimeable number, because it can be changed into a prime (135440214317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3218673 + ... + 3260480.

It is an arithmetic number, because the mean of its divisors is an integer number (5782644945).

Almost surely, 2135440214312 is an apocalyptic number.

135440214312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135440214312 is an abundant number, since it is smaller than the sum of its proper divisors (234649062168).

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

135440214312 is a wasteful number, since it uses less digits than its factorization.

135440214312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6479242 (or 6479238 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 135440214312 its reverse (213412044531), we get a palindrome (348852258843).

The spelling of 135440214312 in words is "one hundred thirty-five billion, four hundred forty million, two hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 78 104 134 156 201 268 312 402 536 804 871 1608 1742 2613 3484 5226 6968 10452 20904 6479153 12958306 19437459 25916612 38874918 51833224 77749836 84228989 155499672 168457978 252686967 336915956 434103251 505373934 673831912 868206502 1010747868 1302309753 1736413004 2021495736 2604619506 3472826008 5209239012 5643342263 10418478024 11286684526 16930026789 22573369052 33860053578 45146738104 67720107156 135440214312