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4414401012 = 223755794349
BaseRepresentation
bin1000001110001111…
…00110100111110100
3102101122110210202210
410013013212213310
533020041313022
62010011533420
7214251534540
oct40707464764
912348423683
104414401012
1119658a58aa
12a3245a270
13554735b08
142dc3c6a20
151ac830a0c
hex1071e69f4

4414401012 has 48 divisors (see below), whose sum is σ = 11792995200. Its totient is φ = 1258979712.

The previous prime is 4414401011. The next prime is 4414401049. The reversal of 4414401012 is 2101044144.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4414401012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414401011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387 + ... + 93962.

It is an arithmetic number, because the mean of its divisors is an integer number (245687400).

Almost surely, 24414401012 is an apocalyptic number.

4414401012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4414401012 is an abundant number, since it is smaller than the sum of its proper divisors (7378594188).

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

4414401012 is a wasteful number, since it uses less digits than its factorization.

4414401012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94920 (or 94918 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4414401012 is about 66440.9588431714. The cubic root of 4414401012 is about 1640.4283300200.

Adding to 4414401012 its reverse (2101044144), we get a palindrome (6515445156).

The spelling of 4414401012 in words is "four billion, four hundred fourteen million, four hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 557 1114 1671 2228 3342 3899 6684 7798 11697 15596 23394 46788 94349 188698 283047 377396 566094 660443 1132188 1320886 1981329 2641772 3962658 7925316 52552393 105104786 157657179 210209572 315314358 367866751 630628716 735733502 1103600253 1471467004 2207200506 4414401012