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4134105420 = 223561218517
BaseRepresentation
bin1111011001101001…
…0111000101001100
3101200010001022111120
43312122113011030
531431312333140
61522120120540
7204306213324
oct36632270514
911603038446
104134105420
11183165a655
12974606150
1350b646a33
142b30a2284
15192e151d0
hexf669714c

4134105420 has 72 divisors (see below), whose sum is σ = 11769003792. Its totient is φ = 1084296960.

The previous prime is 4134105379. The next prime is 4134105433. The reversal of 4134105420 is 245014314.

It is a super-3 number, since 3×41341054203 (a number of 30 digits) contains 333 as substring.

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, 214002 + ... + 232518.

It is an arithmetic number, because the mean of its divisors is an integer number (163458386).

Almost surely, 24134105420 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 4134105420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5884501896).

4134105420 is an abundant number, since it is smaller than the sum of its proper divisors (7634898372).

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

4134105420 is a wasteful number, since it uses less digits than its factorization.

4134105420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18651 (or 18588 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4134105420 is about 64297.0094172350. The cubic root of 4134105420 is about 1604.9463360713.

Adding to 4134105420 its reverse (245014314), we get a palindrome (4379119734).

The spelling of 4134105420 in words is "four billion, one hundred thirty-four million, one hundred five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 3721 7442 11163 14884 18517 18605 22326 37034 37210 44652 55551 55815 74068 74420 92585 111102 111630 185170 222204 223260 277755 370340 555510 1111020 1129537 2259074 3388611 4518148 5647685 6777222 11295370 13554444 16943055 22590740 33886110 67772220 68901757 137803514 206705271 275607028 344508785 413410542 689017570 826821084 1033526355 1378035140 2067052710 4134105420