Search a number
-
+
2143115244544 = 2103124350647
BaseRepresentation
bin11111001011111011100…
…111110111010000000000
321120212202101102112211211
4133023323213313100000
5240103100000311134
64320311125215504
7310556252004001
oct37137347672000
97525671375754
102143115244544
1175698775929a
122a7424b61594
1312713065b121
1475a27b231a8
153ab32459764
hex1f2fb9f7400

2143115244544 has 132 divisors (see below), whose sum is σ = 4529831715552. Its totient is φ = 1012855173120.

The previous prime is 2143115244527. The next prime is 2143115244577. The reversal of 2143115244544 is 4454425113412.

It is a junction number, because it is equal to n+sod(n) for n = 2143115244497 and 2143115244506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42289429 + ... + 42340075.

It is an arithmetic number, because the mean of its divisors is an integer number (34316906936).

Almost surely, 22143115244544 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 2143115244544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264915857776).

2143115244544 is an abundant number, since it is smaller than the sum of its proper divisors (2386716471008).

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

2143115244544 is an equidigital number, since it uses as much as digits as its factorization.

2143115244544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50772 (or 50723 counting only the distinct ones).

The product of its digits is 307200, while the sum is 40.

The spelling of 2143115244544 in words is "two trillion, one hundred forty-three billion, one hundred fifteen million, two hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 128 172 248 256 344 496 512 688 961 992 1024 1333 1376 1922 1984 2666 2752 3844 3968 5332 5504 7688 7936 10664 11008 15376 15872 21328 22016 30752 31744 41323 42656 44032 50647 61504 82646 85312 101294 123008 165292 170624 202588 246016 330584 341248 405176 492032 661168 682496 810352 984064 1322336 1364992 1570057 1620704 2177821 2644672 3140114 3241408 4355642 5289344 6280228 6482816 8711284 10578688 12560456 12965632 17422568 21157376 25120912 25931264 34845136 42314752 48671767 50241824 51862528 67512451 69690272 97343534 100483648 135024902 139380544 194687068 200967296 270049804 278761088 389374136 401934592 540099608 557522176 778748272 803869184 1080199216 1115044352 1557496544 1607738368 2092885981 2160398432 2230088704 3114993088 4185771962 4320796864 6229986176 8371543924 8641593728 12459972352 16743087848 17283187456 24919944704 33486175696 34566374912 49839889408 66972351392 69132749824 133944702784 267889405568 535778811136 1071557622272 2143115244544