Search a number
-
+
3868100234442 = 234149570128109
BaseRepresentation
bin111000010010011100101…
…111011000110011001010
3111200210020120000100220000
4320102130233120303022
51001333332130000232
612120551500143430
7546314062333503
oct70223457306312
914623216010800
103868100234442
1112614a7817564
125257b6b37b76
132209b6472c92
14d530782bbaa
156a94148327c
hex3849cbd8cca

3868100234442 has 80 divisors (see below), whose sum is σ = 8727421329000. Its totient is φ = 1280443075200.

The previous prime is 3868100234431. The next prime is 3868100234461. The reversal of 3868100234442 is 2444320018683.

It is a happy number.

3868100234442 is a `hidden beast` number, since 3 + 86 + 8 + 100 + 23 + 4 + 442 = 666.

3868100234442 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 4 ways, for example, as 1950321178521 + 1917779055921 = 1396539^2 + 1384839^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 137596684 + ... + 137624792.

Almost surely, 23868100234442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3868100234442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363710664500).

3868100234442 is an abundant number, since it is smaller than the sum of its proper divisors (4859321094558).

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

3868100234442 is a wasteful number, since it uses less digits than its factorization.

3868100234442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33973 (or 33964 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 3868100234442 in words is "three trillion, eight hundred sixty-eight billion, one hundred million, two hundred thirty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 298 447 894 1341 2682 4023 5701 8046 11402 12069 17103 24138 28109 34206 51309 56218 84327 102618 153927 168654 252981 307854 461781 505962 758943 849449 923562 1517886 1698898 2276829 2548347 4188241 4553658 5096694 7645041 8376482 12564723 15290082 22935123 25129446 37694169 45870246 68805369 75388338 113082507 137610738 160249409 226165014 320498818 339247521 480748227 678495042 961496454 1442244681 2884489362 4326734043 8653468086 12980202129 23877161941 25960404258 47754323882 71631485823 143262971646 214894457469 429788914938 644683372407 1289366744814 1934050117221 3868100234442