Search a number
-
+
10413400310343 = 3241671912205251
BaseRepresentation
bin1001011110001000111100…
…0001101100001001000111
31100212111210202211220211200
42113202033001230021013
52331103120434412333
634051503340233543
72123225524116432
oct227421701541107
940774722756750
1010413400310343
113355330aa8968
12120222a83b8b3
135a6c96a88184
14280022ca2819
15130d22eb3c13
hex9788f06c247

10413400310343 has 48 divisors (see below), whose sum is σ = 15720306481152. Its totient is φ = 6636920400000.

The previous prime is 10413400310281. The next prime is 10413400310377. The reversal of 10413400310343 is 34301300431401.

10413400310343 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 3 + 4 + 0 + 0 + 310 + 343 = 666.

It is not a de Polignac number, because 10413400310343 - 217 = 10413400179271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413400310743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3619468 + ... + 5824718.

It is an arithmetic number, because the mean of its divisors is an integer number (327506385024).

Almost surely, 210413400310343 is an apocalyptic number.

10413400310343 is a deficient number, since it is larger than the sum of its proper divisors (5306906170809).

10413400310343 is a wasteful number, since it uses less digits than its factorization.

10413400310343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205556 (or 2205553 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10413400310343 its reverse (34301300431401), we get a palindrome (44714700741744).

The spelling of 10413400310343 in words is "ten trillion, four hundred thirteen billion, four hundred million, three hundred ten thousand, three hundred forty-three".

Divisors: 1 3 9 41 67 123 191 201 369 573 603 1719 2747 7831 8241 12797 23493 24723 38391 70479 115173 524677 1574031 2205251 4722093 6615753 19847259 90415291 147751817 271245873 421202941 443255451 813737619 1263608823 1329766353 3790826469 6057824497 17269320581 18173473491 28220597047 51807961743 54520420473 84661791141 155423885229 253985373423 1157044478927 3471133436781 10413400310343