Search a number
-
+
213142234322440 = 23519282661992179
BaseRepresentation
bin110000011101101000001011…
…001010011101011000001000
31000221200012100210002210210001
4300131220023022131120020
5210414110243441304230
62033152105105132344
762616006156015133
oct6035501312353010
91027605323083701
10213142234322440
1161a06128739755
121baa448702a0b4
1391c12c3697167
143a8c1d3ccb21a
1519994ba6940ca
hexc1da0b29d608

213142234322440 has 64 divisors (see below), whose sum is σ = 504812849688000. Its totient is φ = 80769321642240.

The previous prime is 213142234322431. The next prime is 213142234322443. The reversal of 213142234322440 is 44223432241312.

It is a super-2 number, since 2×2131422343224402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213142234322440.

It is not an unprimeable number, because it can be changed into a prime (213142234322443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214326271 + ... + 215318449.

It is an arithmetic number, because the mean of its divisors is an integer number (7887700776375).

Almost surely, 2213142234322440 is an apocalyptic number.

213142234322440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213142234322440 is an abundant number, since it is smaller than the sum of its proper divisors (291670615365560).

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

213142234322440 is a wasteful number, since it uses less digits than its factorization.

213142234322440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274870 (or 1274866 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 213142234322440 its reverse (44223432241312), we get a palindrome (257365666563752).

The spelling of 213142234322440 in words is "two hundred thirteen trillion, one hundred forty-two billion, two hundred thirty-four million, three hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 282661 565322 992179 1130644 1413305 1984358 2261288 2826610 3968716 4960895 5370559 5653220 7937432 9921790 10741118 11306440 18851401 19843580 21482236 26852795 37702802 39687160 42964472 53705590 75405604 94257005 107411180 150811208 188514010 214822360 377028020 754056040 280450308319 560900616638 1121801233276 1402251541595 2243602466552 2804503083190 5328555858061 5609006166380 10657111716122 11218012332760 21314223432244 26642779290305 42628446864488 53285558580610 106571117161220 213142234322440