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4444344214240 = 25577575241961
BaseRepresentation
bin100000010101100011110…
…0011101110001011100000
3120201212121222201120001011
41000223013203232023200
51040304004104323430
613241411544350304
7636043664340430
oct100530743561340
916655558646034
104444344214240
111463921499507
125b9415a75394
1326313b5195a8
14115170a262c0
157a91a95522a
hex40ac78ee2e0

4444344214240 has 96 divisors (see below), whose sum is σ = 12015583360704. Its totient is φ = 1521761955840.

The previous prime is 4444344214231. The next prime is 4444344214249. The reversal of 4444344214240 is 424124434444.

It is an interprime number because it is at equal distance from previous prime (4444344214231) and next prime (4444344214249).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4444344214193 and 4444344214202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444344214249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1773141 + ... + 3468820.

It is an arithmetic number, because the mean of its divisors is an integer number (125162326674).

Almost surely, 24444344214240 is an apocalyptic number.

4444344214240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444344214240 is an abundant number, since it is smaller than the sum of its proper divisors (7571239146464).

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

4444344214240 is a wasteful number, since it uses less digits than its factorization.

4444344214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5242740 (or 5242732 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 40.

Adding to 4444344214240 its reverse (424124434444), we get a palindrome (4868468648684).

The spelling of 4444344214240 in words is "four trillion, four hundred forty-four billion, three hundred forty-four million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 757 1120 1514 3028 3785 5299 6056 7570 10598 12112 15140 21196 24224 26495 30280 42392 52990 60560 84784 105980 121120 169568 211960 423920 847840 5241961 10483922 20967844 26209805 36693727 41935688 52419610 73387454 83871376 104839220 146774908 167742752 183468635 209678440 293549816 366937270 419356880 587099632 733874540 838713760 1174199264 1467749080 2935498160 3968164477 5870996320 7936328954 15872657908 19840822385 27777151339 31745315816 39681644770 55554302678 63490631632 79363289540 111108605356 126981263264 138885756695 158726579080 222217210712 277771513390 317453158160 444434421424 555543026780 634906316320 888868842848 1111086053560 2222172107120 4444344214240