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4013440432 = 244367831049
BaseRepresentation
bin1110111100111000…
…0011110110110000
3101100200222220020221
43233032003312300
531204420043212
61502125542424
7201312452341
oct35716036660
911320886227
104013440432
11177a534221
12940114a14
134bc649231
142a10520c8
1518752c807
hexef383db0

4013440432 has 80 divisors (see below), whose sum is σ = 8180726400. Its totient is φ = 1905716736.

The previous prime is 4013440421. The next prime is 4013440447. The reversal of 4013440432 is 2340443104.

It is a super-2 number, since 2×40134404322 = 32215408202424693248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4013440397 and 4013440406.

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, 3825444 + ... + 3826492.

It is an arithmetic number, because the mean of its divisors is an integer number (102259080).

Almost surely, 24013440432 is an apocalyptic number.

It is an amenable number.

4013440432 is an abundant number, since it is smaller than the sum of its proper divisors (4167285968).

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

4013440432 is a wasteful number, since it uses less digits than its factorization.

4013440432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4013440432 is about 63351.7200397906. The cubic root of 4013440432 is about 1589.1770106380.

Adding to 4013440432 its reverse (2340443104), we get a palindrome (6353883536).

The spelling of 4013440432 in words is "four billion, thirteen million, four hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 43 67 83 86 134 166 172 268 332 344 536 664 688 1049 1072 1328 2098 2881 3569 4196 5561 5762 7138 8392 11122 11524 14276 16784 22244 23048 28552 44488 45107 46096 57104 70283 87067 88976 90214 140566 174134 180428 239123 281132 348268 360856 478246 562264 696536 721712 956492 1124528 1393072 1912984 3022169 3743881 3825968 5833489 6044338 7487762 11666978 12088676 14975524 23333956 24177352 29951048 46667912 48354704 59902096 93335824 250840027 501680054 1003360108 2006720216 4013440432