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240054534073233 = 331112723812672947
BaseRepresentation
bin110110100101010000001101…
…001110101110101110010001
31011110221222201020001000201000
4312211100031032232232101
5222431023141210320413
62210315310332132213
7101364240065346435
oct6645201516565621
91143858636030630
10240054534073233
116a541613303830
1222b10215907069
13a3c4078a6cb19
14433c9b6a889c5
151cb4581720073
hexda540d3aeb91

240054534073233 has 64 divisors (see below), whose sum is σ = 391186153635840. Its totient is φ = 144281348366400.

The previous prime is 240054534073141. The next prime is 240054534073241. The reversal of 240054534073233 is 332370435450042.

240054534073233 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 5 + 4 + 5 + 3 + 407 + 3 + 233 = 666.

240054534073233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 240054534073233 - 213 = 240054534065041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (240054534073633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88472466 + ... + 91145412.

It is an arithmetic number, because the mean of its divisors is an integer number (6112283650560).

Almost surely, 2240054534073233 is an apocalyptic number.

It is an amenable number.

240054534073233 is a deficient number, since it is larger than the sum of its proper divisors (151131619562607).

240054534073233 is a wasteful number, since it uses less digits than its factorization.

240054534073233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675475 (or 2675469 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 45.

The spelling of 240054534073233 in words is "two hundred forty trillion, fifty-four billion, five hundred thirty-four million, seventy-three thousand, two hundred thirty-three".

Divisors: 1 3 9 11 27 33 99 127 297 381 1143 1397 2381 3429 4191 7143 12573 21429 26191 37719 64287 78573 235719 302387 707157 907161 2672947 2721483 3326257 8018841 8164449 9978771 24056523 29402417 29936313 72169569 88207251 89808939 264621753 339464269 793865259 1018392807 3055178421 3734106959 6364286807 9165535263 11202320877 19092860421 33606962631 57278581263 70007154877 100820887893 171835743789 210021464631 630064393893 808264424489 1890193181679 2424793273467 7274379820401 8890908669379 21823139461203 26672726008137 80018178024411 240054534073233