Search a number
-
+
10355535344142 = 232836931415893
BaseRepresentation
bin1001011010110001011000…
…0000010111001000001110
31100122222110001201001212100
42112230112000113020032
52324131114022003032
634005133421215530
72116106551041162
oct226542600271016
940588401631770
1010355535344142
11333283780834a
1211b2b7ba015a6
135a16a47640c1
1427b2d3bb8ca2
1512e587de897c
hex96b1601720e

10355535344142 has 24 divisors (see below), whose sum is σ = 22707318468744. Its totient is φ = 3410256618864.

The previous prime is 10355535344137. The next prime is 10355535344183. The reversal of 10355535344142 is 24144353555301.

10355535344142 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 5 + 535 + 34 + 41 + 42 = 666.

It is a super-3 number, since 3×103555353441423 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3465706453 + ... + 3465709440.

It is an arithmetic number, because the mean of its divisors is an integer number (946138269531).

Almost surely, 210355535344142 is an apocalyptic number.

10355535344142 is an abundant number, since it is smaller than the sum of its proper divisors (12351783124602).

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

10355535344142 is a wasteful number, since it uses less digits than its factorization.

10355535344142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6931415984 (or 6931415981 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Adding to 10355535344142 its reverse (24144353555301), we get a palindrome (34499888899443).

The spelling of 10355535344142 in words is "ten trillion, three hundred fifty-five billion, five hundred thirty-five million, three hundred forty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 83 166 249 498 747 1494 6931415893 13862831786 20794247679 41588495358 62382743037 124765486074 575307519119 1150615038238 1725922557357 3451845114714 5177767672071 10355535344142