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4444042440 = 233583446189
BaseRepresentation
bin1000010001110001…
…01011010011001000
3102110201020202011110
410020320223103020
533100133324230
62012551130320
7215061510645
oct41070532310
912421222143
104444042440
111980600952
12a403739a0
1355a913816
14302300dcc
151b02384b0
hex108e2b4c8

4444042440 has 64 divisors (see below), whose sum is σ = 13492785600. Its totient is φ = 1170797312.

The previous prime is 4444042423. The next prime is 4444042453. The reversal of 4444042440 is 442404444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4444042398 and 4444042407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213135 + ... + 233054.

It is an arithmetic number, because the mean of its divisors is an integer number (210824775).

Almost surely, 24444042440 is an apocalyptic number.

4444042440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444042440 is an abundant number, since it is smaller than the sum of its proper divisors (9048743160).

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

4444042440 is a wasteful number, since it uses less digits than its factorization.

4444042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446286 (or 446282 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

The square root of 4444042440 is about 66663.6515651521. The cubic root of 4444042440 is about 1644.0918099816.

Adding to 4444042440 its reverse (442404444), we get a palindrome (4886446884).

The spelling of 4444042440 in words is "four billion, four hundred forty-four million, forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 446189 892378 1338567 1784756 2230945 2677134 3569512 4461890 5354268 6692835 8923780 10708536 13385670 17847560 26771340 37033687 53542680 74067374 111101061 148134748 185168435 222202122 296269496 370336870 444404244 555505305 740673740 888808488 1111010610 1481347480 2222021220 4444042440