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1424432412 = 2233132344111
BaseRepresentation
bin101010011100111…
…0001110100011100
310200021022122221000
41110321301310130
510404123314122
6353202310300
750204322114
oct12471616434
93607278830
101424432412
11671067177
12339058390
13199154520
14d7272044
15850be0ac
hex54e71d1c

1424432412 has 96 divisors (see below), whose sum is σ = 4150056960. Its totient is φ = 419221440.

The previous prime is 1424432407. The next prime is 1424432467. The reversal of 1424432412 is 2142344241.

1424432412 is a `hidden beast` number, since 1 + 4 + 244 + 3 + 2 + 412 = 666.

It is a super-2 number, since 2×14244324122 = 4058015392712275488, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10237 + ... + 54347.

It is an arithmetic number, because the mean of its divisors is an integer number (43229760).

Almost surely, 21424432412 is an apocalyptic number.

1424432412 is a gapful number since it is divisible by the number (12) 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 1424432412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075028480).

1424432412 is an abundant number, since it is smaller than the sum of its proper divisors (2725624548).

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

1424432412 is a wasteful number, since it uses less digits than its factorization.

1424432412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44160 (or 44152 counting only the distinct ones).

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

The square root of 1424432412 is about 37741.6535408824. The cubic root of 1424432412 is about 1125.1591312676.

Adding to 1424432412 its reverse (2142344241), we get a palindrome (3566776653).

It can be divided in two parts, 14244 and 32412, that added together give a 6-th power (46656 = 66).

The spelling of 1424432412 in words is "one billion, four hundred twenty-four million, four hundred thirty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 92 108 117 138 156 207 234 276 299 351 414 468 598 621 702 828 897 1196 1242 1404 1794 2484 2691 3588 5382 8073 10764 16146 32292 44111 88222 132333 176444 264666 396999 529332 573443 793998 1014553 1146886 1190997 1587996 1720329 2029106 2293772 2381994 3043659 3440658 4058212 4763988 5160987 6087318 6881316 9130977 10321974 12174636 13189189 15482961 18261954 20643948 26378378 27392931 30965922 36523908 39567567 52756756 54785862 61931844 79135134 109571724 118702701 158270268 237405402 356108103 474810804 712216206 1424432412