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412320304144 = 24741267133617
BaseRepresentation
bin1100000000000000011…
…01001000110000010000
31110102021022101200000201
412000000031020300100
523223412444213034
6513230051024544
741534452521040
oct6000015106020
91412238350021
10412320304144
11149956076241
1267ab129b154
132cb5cc5c638
1415d5655b720
15aad3339014
hex6000348c10

412320304144 has 80 divisors (see below), whose sum is σ = 935641115136. Its totient is φ = 172329062400.

The previous prime is 412320304079. The next prime is 412320304153. The reversal of 412320304144 is 441403023214.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 12248424 + ... + 12282040.

Almost surely, 2412320304144 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 412320304144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467820557568).

412320304144 is an abundant number, since it is smaller than the sum of its proper divisors (523320810992).

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

412320304144 is a wasteful number, since it uses less digits than its factorization.

412320304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36344 (or 36338 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 412320304144 its reverse (441403023214), we get a palindrome (853723327358).

The spelling of 412320304144 in words is "four hundred twelve billion, three hundred twenty million, three hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2296 2671 4592 5342 10684 18697 21368 33617 37394 42736 67234 74788 109511 134468 149576 219022 235319 268936 299152 438044 470638 537872 766577 876088 941276 1378297 1533154 1752176 1882552 2756594 3066308 3765104 5513188 6132616 9648079 11026376 12265232 19296158 22052752 38592316 77184632 89791007 154369264 179582014 359164028 628537049 718328056 1257074098 1436656112 2514148196 3681431287 5028296392 7362862574 10056592784 14725725148 25770019009 29451450296 51540038018 58902900592 103080076036 206160152072 412320304144