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414141500 = 2253978539
BaseRepresentation
bin11000101011110…
…100110000111100
31001212021120100002
4120223310300330
51322010012000
6105032253432
713156100423
oct3053646074
91055246302
10414141500
111a2854703
12b6841278
1367a53256
143d0062ba
15265588d5
hex18af4c3c

414141500 has 48 divisors (see below), whose sum is σ = 913916640. Its totient is φ = 163929600.

The previous prime is 414141491. The next prime is 414141503. The reversal of 414141500 is 5141414.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414141503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44231 + ... + 52769.

It is an arithmetic number, because the mean of its divisors is an integer number (19039930).

Almost surely, 2414141500 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 414141500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456958320).

414141500 is an abundant number, since it is smaller than the sum of its proper divisors (499775140).

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

414141500 is a wasteful number, since it uses less digits than its factorization.

414141500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8655 (or 8643 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 414141500 is about 20350.4668251124. The cubic root of 414141500 is about 745.3888935476.

Adding to 414141500 its reverse (5141414), we get a palindrome (419282914).

The spelling of 414141500 in words is "four hundred fourteen million, one hundred forty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 125 194 250 388 485 500 970 1940 2425 4850 8539 9700 12125 17078 24250 34156 42695 48500 85390 170780 213475 426950 828283 853900 1067375 1656566 2134750 3313132 4141415 4269500 8282830 16565660 20707075 41414150 82828300 103535375 207070750 414141500