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2141230014 = 2327117321163
BaseRepresentation
bin111111110100000…
…1001001110111110
312112020002202101100
41333220021032332
513341123330024
6552245553530
7104030104050
oct17750111676
95466082340
102141230014
119a9739890
124b91158a6
132817c5511
1416453d8d0
15c7ead7c9
hex7fa093be

2141230014 has 96 divisors (see below), whose sum is σ = 5863613184. Its totient is φ = 548519040.

The previous prime is 2141230009. The next prime is 2141230037. The reversal of 2141230014 is 4100321412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90597 + ... + 111759.

It is an arithmetic number, because the mean of its divisors is an integer number (61079304).

Almost surely, 22141230014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141230014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931806592).

2141230014 is an abundant number, since it is smaller than the sum of its proper divisors (3722383170).

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

2141230014 is a wasteful number, since it uses less digits than its factorization.

2141230014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21262 (or 21259 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2141230014 is about 46273.4266507247. The cubic root of 2141230014 is about 1288.9055906273.

Adding to 2141230014 its reverse (4100321412), we get a palindrome (6241551426).

The spelling of 2141230014 in words is "two billion, one hundred forty-one million, two hundred thirty thousand, fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 73 77 99 126 146 154 198 219 231 438 462 511 657 693 803 1022 1314 1386 1533 1606 2409 3066 4599 4818 5621 7227 9198 11242 14454 16863 21163 33726 42326 50589 63489 101178 126978 148141 190467 232793 296282 380934 444423 465586 698379 888846 1333269 1396758 1544899 1629551 2095137 2666538 3089798 3259102 4190274 4634697 4888653 9269394 9777306 10814293 13904091 14665959 16993889 21628586 27808182 29331918 32442879 33987778 50981667 64885758 97328637 101963334 118957223 152945001 194657274 237914446 305890002 356871669 713743338 1070615007 2141230014