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2143979342344 = 2372471153100927
BaseRepresentation
bin11111001100101111001…
…000001000101000001000
321120221222121101021012001
4133030233020020220020
5240111332202423334
64320532554000344
7310616543502400
oct37145710105010
97527877337161
102143979342344
11757290499804
122a76264160b4
1312723a6941b8
1475aaa7b5800
153ab83243714
hex1f32f208a08

2143979342344 has 96 divisors (see below), whose sum is σ = 4779966228480. Its totient is φ = 898509459456.

The previous prime is 2143979342311. The next prime is 2143979342353. The reversal of 2143979342344 is 4432439793412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21192409 + ... + 21293335.

It is an arithmetic number, because the mean of its divisors is an integer number (49791314880).

Almost surely, 22143979342344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143979342344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389983114240).

2143979342344 is an abundant number, since it is smaller than the sum of its proper divisors (2635986886136).

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

2143979342344 is a wasteful number, since it uses less digits than its factorization.

2143979342344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102147 (or 102136 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 55.

It can be divided in two parts, 214397934 and 2344, that added together give a triangular number (214400278 = T20707).

The spelling of 2143979342344 in words is "two trillion, one hundred forty-three billion, nine hundred seventy-nine million, three hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 47 49 56 94 98 188 196 329 376 392 658 1153 1316 2303 2306 2632 4606 4612 8071 9212 9224 16142 18424 32284 54191 56497 64568 100927 108382 112994 201854 216764 225988 379337 403708 433528 451976 706489 758674 807416 1412978 1517348 2655359 2825956 3034696 4743569 4945423 5310718 5651912 9487138 9890846 10621436 18974276 19781692 21242872 33204983 37948552 39563384 66409966 116368831 132819932 232434881 232737662 265639864 464869762 465475324 814581817 929739524 930950648 1629163634 1859479048 3258327268 5469335057 5702072719 6516654536 10938670114 11404145438 21877340228 22808290876 38285345399 43754680456 45616581752 76570690798 153141381596 267997417793 306282763192 535994835586 1071989671172 2143979342344