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4021412120 = 23511471631193
BaseRepresentation
bin1110111110110001…
…1110000100011000
3101101020222220100122
43233230132010120
531213440141440
61503012452412
7201440303405
oct35754360430
911336886318
104021412120
111783a894a0
1294291a108
134c11aa7cb
142a21292ac
151880a47b5
hexefb1e118

4021412120 has 128 divisors (see below), whose sum is σ = 10151101440. Its totient is φ = 1421245440.

The previous prime is 4021412119. The next prime is 4021412123. The reversal of 4021412120 is 212141204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021412123) by changing a digit.

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, 3370244 + ... + 3371436.

It is an arithmetic number, because the mean of its divisors is an integer number (79305480).

Almost surely, 24021412120 is an apocalyptic number.

4021412120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075550720).

4021412120 is an abundant number, since it is smaller than the sum of its proper divisors (6129689320).

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

4021412120 is a wasteful number, since it uses less digits than its factorization.

4021412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4021412120 is about 63414.6049423948. The cubic root of 4021412120 is about 1590.2284813333.

Adding to 4021412120 its reverse (212141204), we get a palindrome (4233553324).

The spelling of 4021412120 in words is "four billion, twenty-one million, four hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 163 188 220 235 326 376 440 470 517 652 815 940 1034 1193 1304 1630 1793 1880 2068 2386 2585 3260 3586 4136 4772 5170 5965 6520 7172 7661 8965 9544 10340 11930 13123 14344 15322 17930 20680 23860 26246 30644 35860 38305 47720 52492 56071 61288 65615 71720 76610 84271 104984 112142 131230 153220 168542 194459 224284 262460 280355 306440 337084 388918 421355 448568 524920 560710 616781 674168 777836 842710 972295 1121420 1233562 1555672 1685420 1944590 2139049 2242840 2467124 3083905 3370840 3889180 4278098 4934248 6167810 7778360 8556196 9139573 10695245 12335620 17112392 18279146 21390490 24671240 36558292 42780980 45697865 73116584 85561960 91395730 100535303 182791460 201070606 365582920 402141212 502676515 804282424 1005353030 2010706060 4021412120