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4198040020 = 2254138313367
BaseRepresentation
bin1111101000111001…
…0000000111010100
3101211120100112021201
43322032100013110
532044144240040
61532322322244
7206013515506
oct37216200724
911746315251
104198040020
111864758669
12991ab9384
1351b970865
142bb785d76
15198843a9a
hexfa3901d4

4198040020 has 48 divisors (see below), whose sum is σ = 9055162368. Its totient is φ = 1633859840.

The previous prime is 4198039999. The next prime is 4198040051. The reversal of 4198040020 is 200408914.

It is a super-4 number, since 4×41980400204 (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307377 + ... + 320743.

It is an arithmetic number, because the mean of its divisors is an integer number (188649216).

Almost surely, 24198040020 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 4198040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527581184).

4198040020 is an abundant number, since it is smaller than the sum of its proper divisors (4857122348).

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

4198040020 is a wasteful number, since it uses less digits than its factorization.

4198040020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13800 (or 13798 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 4198040020 is about 64792.2836455083. The cubic root of 4198040020 is about 1613.1776317458.

Adding to 4198040020 its reverse (200408914), we get a palindrome (4398448934).

The spelling of 4198040020 in words is "four billion, one hundred ninety-eight million, forty thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 383 410 766 820 1532 1915 3830 7660 13367 15703 26734 31406 53468 62812 66835 78515 133670 157030 267340 314060 548047 1096094 2192188 2740235 5119561 5480470 10239122 10960940 20478244 25597805 51195610 102391220 209902001 419804002 839608004 1049510005 2099020010 4198040020