[go: up one dir, main page]

Search a number
-
+
4130021140 = 2257175992897
BaseRepresentation
bin1111011000101011…
…0001111100010100
3101122211100210220221
43312022301330110
531424241134030
61521452404124
7204226412650
oct36612617424
911584323827
104130021140
11182a320013
12973176644
1350a8469bb
142b271ba60
151928a9e7a
hexf62b1f14

4130021140 has 96 divisors (see below), whose sum is σ = 10516262400. Its totient is φ = 1330028544.

The previous prime is 4130021117. The next prime is 4130021249. The reversal of 4130021140 is 411200314.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1424172 + ... + 1427068.

It is an arithmetic number, because the mean of its divisors is an integer number (109544400).

Almost surely, 24130021140 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 4130021140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258131200).

4130021140 is an abundant number, since it is smaller than the sum of its proper divisors (6386241260).

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

4130021140 is a wasteful number, since it uses less digits than its factorization.

4130021140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4130021140 is about 64265.2405270532. The cubic root of 4130021140 is about 1604.4176275662.

Adding to 4130021140 its reverse (411200314), we get a palindrome (4541221454).

The spelling of 4130021140 in words is "four billion, one hundred thirty million, twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 599 1190 1198 2380 2396 2897 2995 4193 5794 5990 8386 10183 11588 11980 14485 16772 20279 20366 20965 28970 40558 40732 41930 49249 50915 57940 71281 81116 83860 98498 101395 101830 142562 196996 202790 203660 246245 285124 344743 356405 405580 492490 689486 712810 984980 1378972 1425620 1723715 1735303 3447430 3470606 6894860 6941212 8676515 12147121 17353030 24294242 29500151 34706060 48588484 59000302 60735605 118000604 121471210 147500755 206501057 242942420 295001510 413002114 590003020 826004228 1032505285 2065010570 4130021140