Search a number
-
+
264143134143 = 3273711205159
BaseRepresentation
bin1111011000000000101…
…0000101110110111111
3221020210120220111211100
43312000022011312333
513311431120243033
6321202400024143
725040466411000
oct3660012056677
9836716814740
10264143134143
11a2027a05269
1243239002053
131bba7234815
14cadad071a7
156d0e7c2513
hex3d80285dbf

264143134143 has 48 divisors (see below), whose sum is σ = 451211904000. Its totient is φ = 148812909840.

The previous prime is 264143134127. The next prime is 264143134163. The reversal of 264143134143 is 341431341462.

264143134143 is a `hidden beast` number, since 2 + 641 + 4 + 3 + 1 + 3 + 4 + 1 + 4 + 3 = 666.

It is not a de Polignac number, because 264143134143 - 24 = 264143134127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 264143134098 and 264143134107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264143134103) 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, 383403 + ... + 821756.

It is an arithmetic number, because the mean of its divisors is an integer number (9400248000).

Almost surely, 2264143134143 is an apocalyptic number.

264143134143 is a deficient number, since it is larger than the sum of its proper divisors (187068769857).

264143134143 is a wasteful number, since it uses less digits than its factorization.

264143134143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205257 (or 1205240 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 264143134143 in words is "two hundred sixty-four billion, one hundred forty-three million, one hundred thirty-four thousand, one hundred forty-three".

Divisors: 1 3 7 9 21 49 63 71 147 213 343 441 497 639 1029 1491 3087 3479 4473 10437 24353 31311 73059 219177 1205159 3615477 8436113 10846431 25308339 59052791 75925017 85566289 177158373 256698867 413369537 531475119 598964023 770096601 1240108611 1796892069 3720325833 4192748161 5390676207 12578244483 29349237127 37734733449 88047711381 264143134143