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2344412437540 = 2251734729143281
BaseRepresentation
bin100010000111011001110…
…111101101110000100100
322022010100010121110121021
4202013121313231300210
5301402324041000130
64553001434500524
7331243503630535
oct42073167556044
98263303543537
102344412437540
1182429477a818
1231a442b94744
13140100641704
14816821d468c
1540eb471737a
hex221d9dedc24

2344412437540 has 48 divisors (see below), whose sum is σ = 4952805968880. Its totient is φ = 932140707840.

The previous prime is 2344412437513. The next prime is 2344412437547. The reversal of 2344412437540 is 457342144432.

2344412437540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 15516688356 + 2328895749184 = 124566^2 + 1526072^2 .

It is not an unprimeable number, because it can be changed into a prime (2344412437547) 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, 16290700 + ... + 16433980.

It is an arithmetic number, because the mean of its divisors is an integer number (103183457685).

Almost surely, 22344412437540 is an apocalyptic number.

2344412437540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2344412437540 is an abundant number, since it is smaller than the sum of its proper divisors (2608393531340).

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

2344412437540 is a wasteful number, since it uses less digits than its factorization.

2344412437540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148192 (or 148190 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 43.

The spelling of 2344412437540 in words is "two trillion, three hundred forty-four billion, four hundred twelve million, four hundred thirty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 4729 9458 18916 23645 47290 94580 143281 286562 573124 716405 818117 1432810 1636234 2865620 3272468 4090585 8181170 16362340 24787613 49575226 99150452 123938065 247876130 495752260 677575849 1355151698 2710303396 3387879245 6775758490 13551516980 117220621877 234441243754 468882487508 586103109385 1172206218770 2344412437540