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412413144 = 2331113120167
BaseRepresentation
bin11000100101001…
…110110011011000
31001202000202110220
4120211032303120
51321034210034
6104531240040
713135311453
oct3045166330
91052022426
10412413144
111a1884110
12b6149020
1367599660
143cab649a
1526316749
hex1894ecd8

412413144 has 64 divisors (see below), whose sum is σ = 1211293440. Its totient is φ = 115359360.

The previous prime is 412413061. The next prime is 412413151. The reversal of 412413144 is 441314214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 56652 + ... + 63515.

It is an arithmetic number, because the mean of its divisors is an integer number (18926460).

Almost surely, 2412413144 is an apocalyptic number.

412413144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

412413144 is an abundant number, since it is smaller than the sum of its proper divisors (798880296).

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

412413144 is a wasteful number, since it uses less digits than its factorization.

412413144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120200 (or 120196 counting only the distinct ones).

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

The square root of 412413144 is about 20307.9576521126. The cubic root of 412413144 is about 744.3505256599.

Adding to 412413144 its reverse (441314214), we get a palindrome (853727358).

The spelling of 412413144 in words is "four hundred twelve million, four hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 120167 240334 360501 480668 721002 961336 1321837 1442004 1562171 2643674 2884008 3124342 3965511 4686513 5287348 6248684 7931022 9373026 10574696 12497368 15862044 17183881 18746052 31724088 34367762 37492104 51551643 68735524 103103286 137471048 206206572 412413144