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4440032241440 = 25598897280597
BaseRepresentation
bin100000010011100011010…
…0010110110011100100000
3120201110111110222122100212
41000213012202312130200
51040221141223211230
613235420032033252
7635532065230235
oct100470642663440
916643443878325
104440032241440
1114620094a3524
125b8611992828
132629020975b3
14114c820a378c
157a767108895
hex409c68b6720

4440032241440 has 48 divisors (see below), whose sum is σ = 10489719619512. Its totient is φ = 1775988609024.

The previous prime is 4440032241419. The next prime is 4440032241443. The reversal of 4440032241440 is 441422300444.

It can be written as a sum of positive squares in 4 ways, for example, as 4088985471376 + 351046770064 = 2022124^2 + 592492^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4440032241397 and 4440032241406.

It is not an unprimeable number, because it can be changed into a prime (4440032241443) 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 7 ways as a sum of consecutive naturals, for example, 15683222 + ... + 15963818.

Almost surely, 24440032241440 is an apocalyptic number.

4440032241440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4440032241440 is an abundant number, since it is smaller than the sum of its proper divisors (6049687378072).

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

4440032241440 is a wasteful number, since it uses less digits than its factorization.

4440032241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379509 (or 379501 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4440032241440 its reverse (441422300444), we get a palindrome (4881454541884).

The spelling of 4440032241440 in words is "four trillion, four hundred forty billion, thirty-two million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 98897 197794 280597 395588 494485 561194 791176 988970 1122388 1402985 1582352 1977940 2244776 2805970 3164704 3955880 4489552 5611940 7911760 8979104 11223880 15823520 22447760 44895520 27750201509 55500403018 111000806036 138751007545 222001612072 277502015090 444003224144 555004030180 888006448288 1110008060360 2220016120720 4440032241440