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4121411020 = 225411072439
BaseRepresentation
bin1111010110100111…
…1011110111001100
3101122020011101001121
43311221323313030
531420040123040
61520544050324
7204063262366
oct36551736714
911566141047
104121411020
11182547a111
129703039a4
13508b2095c
142b1519d36
15191c58c4a
hexf5a7bdcc

4121411020 has 72 divisors (see below), whose sum is σ = 8970081120. Its totient is φ = 1589694720.

The previous prime is 4121411017. The next prime is 4121411029. The reversal of 4121411020 is 201141214.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4121410985 and 4121411003.

It is not an unprimeable number, because it can be changed into a prime (4121411029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9387961 + ... + 9388399.

It is an arithmetic number, because the mean of its divisors is an integer number (124584460).

Almost surely, 24121411020 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 4121411020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485040560).

4121411020 is an abundant number, since it is smaller than the sum of its proper divisors (4848670100).

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

4121411020 is a wasteful number, since it uses less digits than its factorization.

4121411020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 4121411020 is about 64198.2166418975. The cubic root of 4121411020 is about 1603.3019077533.

Adding to 4121411020 its reverse (201141214), we get a palindrome (4322552234).

The spelling of 4121411020 in words is "four billion, one hundred twenty-one million, four hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 107 164 205 214 410 428 439 535 820 878 1070 1756 2140 2195 4387 4390 8774 8780 11449 17548 17999 21935 22898 35998 43870 45796 46973 57245 71996 87740 89995 93946 114490 179990 187892 228980 234865 359980 469409 469730 938818 939460 1877636 1925893 2347045 3851786 4694090 5026111 7703572 9388180 9629465 10052222 19258930 20104444 25130555 38517860 50261110 100522220 206070551 412141102 824282204 1030352755 2060705510 4121411020