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4041442120 = 235197174897
BaseRepresentation
bin1111000011100011…
…1000001101001000
3101102122200112100111
43300320320031020
531234102121440
61505010044104
7202102456042
oct36070701510
911378615314
104041442120
11179431a311
12949579634
134c53a1791
142a4a60a92
15189c0e4ea
hexf0e38348

4041442120 has 64 divisors (see below), whose sum is σ = 9706780800. Its totient is φ = 1509903360.

The previous prime is 4041442103. The next prime is 4041442187. The reversal of 4041442120 is 212441404.

It is a junction number, because it is equal to n+sod(n) for n = 4041442091 and 4041442100.

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, 16512 + ... + 91408.

It is an arithmetic number, because the mean of its divisors is an integer number (151668450).

Almost surely, 24041442120 is an apocalyptic number.

4041442120 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 4041442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853390400).

4041442120 is an abundant number, since it is smaller than the sum of its proper divisors (5665338680).

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

4041442120 is a wasteful number, since it uses less digits than its factorization.

4041442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74998 (or 74994 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4041442120 is about 63572.3376949440. The cubic root of 4041442120 is about 1592.8643330950.

Adding to 4041442120 its reverse (212441404), we get a palindrome (4253883524).

The spelling of 4041442120 in words is "four billion, forty-one million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 71 76 95 142 152 190 284 355 380 568 710 760 1349 1420 2698 2840 5396 6745 10792 13490 26980 53960 74897 149794 299588 374485 599176 748970 1423043 1497940 2846086 2995880 5317687 5692172 7115215 10635374 11384344 14230430 21270748 26588435 28460860 42541496 53176870 56921720 101036053 106353740 202072106 212707480 404144212 505180265 808288424 1010360530 2020721060 4041442120