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44154542331040 = 255635343438673
BaseRepresentation
bin10100000101000100001111…
…10011111001010010100000
312210100010120222021112220011
422002202013303321102200
521241412000314043130
6233524152224454304
712205026502145551
oct1202420763712240
9183303528245804
1044154542331040
1113083922048389
124b51542a7a394
131b839a8a1a99b
14ac913c574328
1551886345752a
hex282887cf94a0

44154542331040 has 48 divisors (see below), whose sum is σ = 104331528477288. Its totient is φ = 17659036450816.

The previous prime is 44154542331017. The next prime is 44154542331047. The reversal of 44154542331040 is 4013324545144.

It can be written as a sum of positive squares in 4 ways, for example, as 41229908786704 + 2924633544336 = 6421052^2 + 1710156^2 .

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 = 44154542330984 and 44154542331002.

It is not an unprimeable number, because it can be changed into a prime (44154542331047) 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 7 ways as a sum of consecutive naturals, for example, 20702857 + ... + 22735816.

Almost surely, 244154542331040 is an apocalyptic number.

44154542331040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44154542331040 is an abundant number, since it is smaller than the sum of its proper divisors (60176986146248).

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

44154542331040 is a wasteful number, since it uses less digits than its factorization.

44154542331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43445041 (or 43445033 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 44154542331040 its reverse (4013324545144), we get a palindrome (48167866876184).

The spelling of 44154542331040 in words is "forty-four trillion, one hundred fifty-four billion, five hundred forty-two million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 6353 12706 25412 31765 50824 63530 101648 127060 203296 254120 508240 1016480 43438673 86877346 173754692 217193365 347509384 434386730 695018768 868773460 1390037536 1737546920 3475093840 6950187680 275965889569 551931779138 1103863558276 1379829447845 2207727116552 2759658895690 4415454233104 5519317791380 8830908466208 11038635582760 22077271165520 44154542331040