Search a number
-
+
354230313014133 = 32682746817123143
BaseRepresentation
bin101000010001010111010101…
…1111110011101001101110101
31201110020002100120100220110200
41100202232223332131031311
5332412202140112423013
63253215054222511113
7134420203243431663
oct12042565376351565
91643202316326420
10354230313014133
11a2961260a27576
123389025b135499
1312286a1011102a
146368ba52a9c33
152ae4523c56e73
hex1422babf9d375

354230313014133 has 24 divisors (see below), whose sum is σ = 511756041521088. Its totient is φ = 236111990053632.

The previous prime is 354230313014077. The next prime is 354230313014153. The reversal of 354230313014133 is 331410313032453.

354230313014133 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 303 + 1 + 301 + 41 + 3 + 3 = 666.

It is not a de Polignac number, because 354230313014133 - 28 = 354230313013877 is a prime.

It is a super-3 number, since 3×3542303130141333 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354230313014153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2876515360 + ... + 2876638502.

It is an arithmetic number, because the mean of its divisors is an integer number (21323168396712).

Almost surely, 2354230313014133 is an apocalyptic number.

It is an amenable number.

354230313014133 is a deficient number, since it is larger than the sum of its proper divisors (157525728506955).

354230313014133 is a wasteful number, since it uses less digits than its factorization.

354230313014133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176793 (or 176790 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 354230313014133 its reverse (331410313032453), we get a palindrome (685640626046586).

The spelling of 354230313014133 in words is "three hundred fifty-four trillion, two hundred thirty billion, three hundred thirteen million, fourteen thousand, one hundred thirty-three".

Divisors: 1 3 9 6827 20481 46817 61443 123143 140451 369429 421353 1108287 319619659 840697261 958858977 2522091783 2876576931 5765185831 7566275349 17295557493 51886672479 39358923668237 118076771004711 354230313014133