Search a number
-
+
2323142404155 = 335231495750023
BaseRepresentation
bin100001110011100110000…
…100111110100000111011
322020002102210021211002000
4201303212010332200323
5301030243423413110
64535123100112043
7326561430422436
oct41634604764073
98202383254060
102323142404155
1181626a360931
123162a7835623
1313b0c0ac1841
148062538c81d
154066c22a1c0
hex21ce613e83b

2323142404155 has 64 divisors (see below), whose sum is σ = 4309971793920. Its totient is φ = 1185036386688.

The previous prime is 2323142404151. The next prime is 2323142404211. The reversal of 2323142404155 is 5514042413232.

It is a happy number.

2323142404155 is a `hidden beast` number, since 2 + 3 + 231 + 4 + 2 + 4 + 0 + 415 + 5 = 666.

2323142404155 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2323142404155 - 22 = 2323142404151 is a prime.

It is a super-3 number, since 3×23231424041553 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2323142404151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46416474 + ... + 46466496.

It is an arithmetic number, because the mean of its divisors is an integer number (67343309280).

Almost surely, 22323142404155 is an apocalyptic number.

2323142404155 is a deficient number, since it is larger than the sum of its proper divisors (1986829389765).

2323142404155 is a wasteful number, since it uses less digits than its factorization.

2323142404155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65017 (or 65011 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 2323142404155 its reverse (5514042413232), we get a palindrome (7837184817387).

The spelling of 2323142404155 in words is "two trillion, three hundred twenty-three billion, one hundred forty-two million, four hundred four thousand, one hundred fifty-five".

Divisors: 1 3 5 9 15 23 27 45 69 115 135 207 345 621 1035 3105 14957 44871 50023 74785 134613 150069 224355 250115 344011 403839 450207 673065 750345 1032033 1150529 1350621 1720055 2019195 2251035 3096099 3451587 5160165 5752645 6753105 9288297 10354761 15480495 17257935 31064283 46441485 51773805 155321415 748194011 2244582033 3740970055 6733746099 11222910165 17208462253 20201238297 33668730495 51625386759 86042311265 101006191485 154876160277 258126933795 464628480831 774380801385 2323142404155