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4142315020 = 22519371012917
BaseRepresentation
bin1111011011100110…
…1011011000001100
3101200200111101221211
43312321223120030
531440413040040
61523012104204
7204436045114
oct36671533014
911620441854
104142315020
111836257648
12977305064
1351025c69c
142b41dc044
151939d78ea
hexf6e6b60c

4142315020 has 96 divisors (see below), whose sum is σ = 9500541120. Its totient is φ = 1511654400.

The previous prime is 4142315017. The next prime is 4142315029. The reversal of 4142315020 is 205132414.

It is a junction number, because it is equal to n+sod(n) for n = 4142314982 and 4142315000.

It is not an unprimeable number, because it can be changed into a prime (4142315029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1418602 + ... + 1421518.

It is an arithmetic number, because the mean of its divisors is an integer number (98963970).

Almost surely, 24142315020 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 4142315020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4750270560).

4142315020 is an abundant number, since it is smaller than the sum of its proper divisors (5358226100).

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

4142315020 is a wasteful number, since it uses less digits than its factorization.

4142315020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4142315020 is about 64360.8189817376. The cubic root of 4142315020 is about 1606.0080131856.

Adding to 4142315020 its reverse (205132414), we get a palindrome (4347447434).

The spelling of 4142315020 in words is "four billion, one hundred forty-two million, three hundred fifteen thousand, twenty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 101 148 185 190 202 370 380 404 505 703 740 1010 1406 1919 2020 2812 2917 3515 3737 3838 5834 7030 7474 7676 9595 11668 14060 14585 14948 18685 19190 29170 37370 38380 55423 58340 71003 74740 107929 110846 142006 215858 221692 277115 284012 294617 355015 431716 539645 554230 589234 710030 1079290 1108460 1178468 1420060 1473085 2050651 2158580 2946170 4101302 5597723 5892340 8202604 10253255 10900829 11195446 20506510 21801658 22390892 27988615 41013020 43603316 54504145 55977230 109008290 111954460 207115751 218016580 414231502 828463004 1035578755 2071157510 4142315020