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544402455040 = 295677314117
BaseRepresentation
bin1111110110000001110…
…10100011101000000000
31221001012100021010201101
413323000322203220000
532404414012030130
61054032305544144
754221541342133
oct7730072435000
91831170233641
10544402455040
1119a974aa2134
1289613345054
133c44c312902
141c4c638821a
15e263d8b1ca
hex7ec0ea3a00

544402455040 has 80 divisors (see below), whose sum is σ = 1307222160552. Its totient is φ = 217438633984.

The previous prime is 544402455031. The next prime is 544402455041. The reversal of 544402455040 is 40554204445.

It can be written as a sum of positive squares in 4 ways, for example, as 530380105984 + 14022349056 = 728272^2 + 118416^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (544402455041) 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, 1576062 + ... + 1890178.

Almost surely, 2544402455040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544402455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653611080276).

544402455040 is an abundant number, since it is smaller than the sum of its proper divisors (762819705512).

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

544402455040 is an equidigital number, since it uses as much as digits as its factorization.

544402455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314817 (or 314801 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 37.

Adding to 544402455040 its reverse (40554204445), we get a palindrome (584956659485).

The spelling of 544402455040 in words is "five hundred forty-four billion, four hundred two million, four hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 677 1280 1354 2560 2708 3385 5416 6770 10832 13540 21664 27080 43328 54160 86656 108320 173312 216640 314117 346624 433280 628234 866560 1256468 1570585 1733120 2512936 3141170 5025872 6282340 10051744 12564680 20103488 25129360 40206976 50258720 80413952 100517440 160827904 201034880 212657209 402069760 425314418 804139520 850628836 1063286045 1701257672 2126572090 3402515344 4253144180 6805030688 8506288360 13610061376 17012576720 27220122752 34025153440 54440245504 68050306880 108880491008 136100613760 272201227520 544402455040