Search a number
-
+
234043041200144 = 241116212957277427
BaseRepresentation
bin110101001101110001100100…
…010101010011100000010000
31010200200021222221122000210112
4311031301210111103200100
5221134030122021401034
62145433515553020452
7100204023512130521
oct6515614425234020
91120607887560715
10234043041200144
11686341072a4760
12222bb138b54728
13a079219657507
1441b1a5a76a848
151c0cee37db7ce
hexd4dc64553810

234043041200144 has 80 divisors (see below), whose sum is σ = 495156233169216. Its totient is φ = 106281234777600.

The previous prime is 234043041200093. The next prime is 234043041200149. The reversal of 234043041200144 is 441002140340432.

It is a super-2 number, since 2×2340430412001442 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 234043041200144.

It is not an unprimeable number, because it can be changed into a prime (234043041200149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843481559 + ... + 843758985.

Almost surely, 2234043041200144 is an apocalyptic number.

It is an amenable number.

234043041200144 is an abundant number, since it is smaller than the sum of its proper divisors (261113191969072).

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

234043041200144 is a wasteful number, since it uses less digits than its factorization.

234043041200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282024 (or 282018 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 234043041200144 its reverse (441002140340432), we get a palindrome (675045181540576).

The spelling of 234043041200144 in words is "two hundred thirty-four trillion, forty-three billion, forty-one million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 1621 2957 3242 5914 6484 11828 12968 17831 23656 25936 32527 35662 47312 65054 71324 130108 142648 260216 277427 285296 520432 554854 1109708 2219416 3051697 4438832 4793297 6103394 9586594 12206788 19173188 24413576 38346376 48827152 52726267 76692752 105452534 210905068 421810136 449709167 820351639 843620272 899418334 1640703278 1798836668 3281406556 3597673336 4946800837 6562813112 7195346672 9023868029 9893601674 13125626224 18047736058 19787203348 36095472116 39574406696 72190944232 79148813392 144381888464 1329790006819 2659580013638 5319160027276 10638320054552 14627690075009 21276640109104 29255380150018 58510760300036 117021520600072 234043041200144