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414144060 = 223511627491
BaseRepresentation
bin11000101011110…
…101011000111100
31001212021200211220
4120223311120330
51322010102220
6105032313340
713156111041
oct3053653074
91055250756
10414144060
111a2856620
12b6842850
1367a54475
143d0071c8
1526559540
hex18af563c

414144060 has 48 divisors (see below), whose sum is σ = 1265023872. Its totient is φ = 100398400.

The previous prime is 414144047. The next prime is 414144077. The reversal of 414144060 is 60441414.

It is a self number, because there is not a number n which added to its sum of digits gives 414144060.

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, 313086 + ... + 314405.

It is an arithmetic number, because the mean of its divisors is an integer number (26354664).

Almost surely, 2414144060 is an apocalyptic number.

It is an amenable number.

414144060 is an abundant number, since it is smaller than the sum of its proper divisors (850879812).

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

414144060 is a wasteful number, since it uses less digits than its factorization.

414144060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627514 (or 627512 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 414144060 is about 20350.5297228352. The cubic root of 414144060 is about 745.3904294089.

Adding to 414144060 its reverse (60441414), we get a palindrome (474585474).

The spelling of 414144060 in words is "four hundred fourteen million, one hundred forty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 627491 1254982 1882473 2509964 3137455 3764946 6274910 6902401 7529892 9412365 12549820 13804802 18824730 20707203 27609604 34512005 37649460 41414406 69024010 82828812 103536015 138048020 207072030 414144060