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4443341431040 = 28510693247297
BaseRepresentation
bin100000010101000101111…
…0010011010000100000000
3120201210001002210220002122
41000222023302122010000
51040244430401243130
613241124243303412
7636010066665311
oct100521362320400
916653032726078
104443341431040
111463457444666
125b919607ab68
1326300b846655
141150b7792608
157a8ac8c42e5
hex40a8bc9a100

4443341431040 has 72 divisors (see below), whose sum is σ = 10653150764760. Its totient is φ = 1775673409536.

The previous prime is 4443341431037. The next prime is 4443341431051. The reversal of 4443341431040 is 401341433444.

It can be written as a sum of positive squares in 4 ways, for example, as 532502953984 + 3910838477056 = 729728^2 + 1977584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255329 + ... + 2991968.

Almost surely, 24443341431040 is an apocalyptic number.

4443341431040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4443341431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326575382380).

4443341431040 is an abundant number, since it is smaller than the sum of its proper divisors (6209809333720).

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

4443341431040 is a wasteful number, since it uses less digits than its factorization.

4443341431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248387 (or 3248373 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 4443341431040 its reverse (401341433444), we get a palindrome (4844682864484).

The spelling of 4443341431040 in words is "four trillion, four hundred forty-three billion, three hundred forty-one million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1069 1280 2138 4276 5345 8552 10690 17104 21380 34208 42760 68416 85520 136832 171040 273664 342080 684160 1368320 3247297 6494594 12989188 16236485 25978376 32472970 51956752 64945940 103913504 129891880 207827008 259783760 415654016 519567520 831308032 1039135040 2078270080 3471360493 4156540160 6942720986 13885441972 17356802465 27770883944 34713604930 55541767888 69427209860 111083535776 138854419720 222167071552 277708839440 444334143104 555417678880 888668286208 1110835357760 2221670715520 4443341431040