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2044051543440 = 24345315440053
BaseRepresentation
bin11101101111101010111…
…101110101010110010000
321020102001110121010020000
4131233222331311112100
5231442204143342230
64203005130250000
7300451334305614
oct35575275652620
97212043533200
102044051543440
11718971898435
12290198886900
1311a9a3b140ca
1470d0b18b344
153828551bb60
hex1dbeaf75590

2044051543440 has 100 divisors (see below), whose sum is σ = 7099293855324. Its totient is φ = 545080409856.

The previous prime is 2044051543381. The next prime is 2044051543441. The reversal of 2044051543440 is 443451504402.

2044051543440 is a `hidden beast` number, since 20 + 4 + 4 + 0 + 51 + 543 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 389720524176 + 1654331019264 = 624276^2 + 1286208^2 .

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 = 2044051543395 and 2044051543404.

It is not an unprimeable number, because it can be changed into a prime (2044051543441) 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, 157713547 + ... + 157726506.

Almost surely, 22044051543440 is an apocalyptic number.

2044051543440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2044051543440 is an abundant number, since it is smaller than the sum of its proper divisors (5055242311884).

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

2044051543440 is a wasteful number, since it uses less digits than its factorization.

2044051543440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315440078 (or 315440063 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 2044051543440 in words is "two trillion, forty-four billion, fifty-one million, five hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 315440053 630880106 946320159 1261760212 1577200265 1892640318 2523520424 2838960477 3154400530 3785280636 4731600795 5047040848 5677920954 6308801060 7570561272 8516881431 9463201590 11355841908 12617602120 14194802385 15141122544 17033762862 18926403180 22711683816 25235204240 25550644293 28389604770 34067525724 37852806360 42584407155 45423367632 51101288586 56779209540 68135051448 75705612720 85168814310 102202577172 113558419080 127753221465 136270102896 170337628620 204405154344 227116838160 255506442930 340675257240 408810308688 511012885860 681350514480 1022025771720 2044051543440