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4444334101440 = 26345171463507
BaseRepresentation
bin100000010101100011011…
…1101001001001111000000
3120201212121021200202220000
41000223012331021033000
51040303444012221230
613241410543520000
7636043512361152
oct100530675111700
916655537622800
104444334101440
111463916811622
125b94125b9000
132631393b859c
1411516d552ad2
157a919b08b60
hex40ac6f493c0

4444334101440 has 140 divisors (see below), whose sum is σ = 15809278364616. Its totient is φ = 1185155753472.

The previous prime is 4444334101423. The next prime is 4444334101447. The reversal of 4444334101440 is 441014334444.

4444334101440 is a `hidden beast` number, since 4 + 44 + 43 + 34 + 101 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4444334101395 and 4444334101404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444334101447) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85705834 + ... + 85757673.

Almost surely, 24444334101440 is an apocalyptic number.

4444334101440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444334101440 is an abundant number, since it is smaller than the sum of its proper divisors (11364944263176).

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

4444334101440 is a wasteful number, since it uses less digits than its factorization.

4444334101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171463536 (or 171463517 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 4444334101440 its reverse (441014334444), we get a palindrome (4885348435884).

The spelling of 4444334101440 in words is "four trillion, four hundred forty-four billion, three hundred thirty-four million, one hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 171463507 342927014 514390521 685854028 857317535 1028781042 1371708056 1543171563 1714635070 2057562084 2571952605 2743416112 3086343126 3429270140 4115124168 4629514689 5143905210 5486832224 6172686252 6858540280 7715857815 8230248336 9259029378 10287810420 10973664448 12345372504 13717080560 13888544067 15431715630 16460496672 18518058756 20575620840 23147573445 24690745008 27434161120 27777088134 30863431260 32920993344 37036117512 41151241680 46295146890 49381490016 54868322240 55554176268 61726862520 69442720335 74072235024 82302483360 92590293780 98762980032 111108352536 123453725040 138885440670 148144470048 164604966720 185180587560 222216705072 246907450080 277770881340 296288940096 370361175120 444433410144 493814900160 555541762680 740722350240 888866820288 1111083525360 1481444700480 2222167050720 4444334101440