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412443144 = 23333751607
BaseRepresentation
bin11000100101010…
…110001000001000
31001202002021122000
4120211112020020
51321041140034
6104532031000
713135465101
oct3045261010
91052067560
10412443144
111a18a4703
12b6162460
13675aa1c9
143cac33a8
1526320599
hex18956208

412443144 has 64 divisors (see below), whose sum is σ = 1176662400. Its totient is φ = 133762752.

The previous prime is 412443079. The next prime is 412443167. The reversal of 412443144 is 441344214.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

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, 17812 + ... + 33795.

It is an arithmetic number, because the mean of its divisors is an integer number (18385350).

Almost surely, 2412443144 is an apocalyptic number.

It is an amenable number.

412443144 is an abundant number, since it is smaller than the sum of its proper divisors (764219256).

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

412443144 is a wasteful number, since it uses less digits than its factorization.

412443144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51659 (or 51649 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 412443144 is about 20308.6962653933. The cubic root of 412443144 is about 744.3685738838.

Adding to 412443144 its reverse (441344214), we get a palindrome (853787358).

It can be divided in two parts, 412 and 443144, that added together give a square (443556 = 6662).

The spelling of 412443144 in words is "four hundred twelve million, four hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 7992 51607 103214 154821 206428 309642 412856 464463 619284 928926 1238568 1393389 1857852 1909459 2786778 3715704 3818918 5573556 5728377 7637836 11147112 11456754 15275672 17185131 22913508 34370262 45827016 51555393 68740524 103110786 137481048 206221572 412443144