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411445144 = 231131473209
BaseRepresentation
bin11000100001100…
…010011110011000
31001200012120122001
4120201202132120
51320312221034
6104454410344
713124140345
oct3041423630
91050176561
10411445144
111a1282910
12b59609b4
136731ab86
143c9037cc
15261c4a14
hex18862798

411445144 has 64 divisors (see below), whose sum is σ = 887500800. Its totient is φ = 177081600.

The previous prime is 411445129. The next prime is 411445159. The reversal of 411445144 is 441544114.

It is an interprime number because it is at equal distance from previous prime (411445129) and next prime (411445159).

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, 126612 + ... + 129820.

It is an arithmetic number, because the mean of its divisors is an integer number (13867200).

Almost surely, 2411445144 is an apocalyptic number.

411445144 is a gapful number since it is divisible by the number (44) 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 411445144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443750400).

411445144 is an abundant number, since it is smaller than the sum of its proper divisors (476055656).

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

411445144 is a wasteful number, since it uses less digits than its factorization.

411445144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3300 counting only the distinct ones).

The product of its digits is 5120, while the sum is 28.

The square root of 411445144 is about 20284.1106287656. The cubic root of 411445144 is about 743.7676992799.

Adding to 411445144 its reverse (441544114), we get a palindrome (852989258).

The spelling of 411445144 in words is "four hundred eleven million, four hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 31 44 47 62 88 94 124 188 248 341 376 517 682 1034 1364 1457 2068 2728 2914 3209 4136 5828 6418 11656 12836 16027 25672 32054 35299 64108 70598 99479 128216 141196 150823 198958 282392 301646 397916 603292 795832 1094269 1206584 1659053 2188538 3318106 4377076 4675513 6636212 8754152 9351026 13272424 18702052 37404104 51430643 102861286 205722572 411445144