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55440221040 = 2433529885061
BaseRepresentation
bin110011101000011111…
…101010001101110000
312022002201120000221000
4303220133222031300
51402020144033130
641245140202000
74001601050331
oct635037521560
9168081500830
1055440221040
112156a6176a6
12a8b2999300
1352c6b83229
14297d066288
1516972a7260
hexce87ea370

55440221040 has 160 divisors (see below), whose sum is σ = 197545838400. Its totient is φ = 14274247680.

The previous prime is 55440221021. The next prime is 55440221047. The reversal of 55440221040 is 4012204455.

55440221040 is a `hidden beast` number, since 5 + 5 + 4 + 402 + 210 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 55440220995 and 55440221013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55440221047) 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 31 ways as a sum of consecutive naturals, for example, 379891 + ... + 505170.

It is an arithmetic number, because the mean of its divisors is an integer number (1234661490).

Almost surely, 255440221040 is an apocalyptic number.

It is an amenable number.

55440221040 is an abundant number, since it is smaller than the sum of its proper divisors (142105617360).

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

55440221040 is a wasteful number, since it uses less digits than its factorization.

55440221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885112 (or 885100 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 55440221040 its reverse (4012204455), we get a palindrome (59452425495).

The spelling of 55440221040 in words is "fifty-five billion, four hundred forty million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 72 80 87 90 108 116 120 135 144 145 174 180 216 232 240 261 270 290 348 360 432 435 464 522 540 580 696 720 783 870 1044 1080 1160 1305 1392 1566 1740 2088 2160 2320 2610 3132 3480 3915 4176 5220 6264 6960 7830 10440 12528 15660 20880 31320 62640 885061 1770122 2655183 3540244 4425305 5310366 7080488 7965549 8850610 10620732 13275915 14160976 15931098 17701220 21241464 23896647 25666769 26551830 31862196 35402440 39827745 42482928 47793294 51333538 53103660 63724392 70804880 77000307 79655490 95586588 102667076 106207320 119483235 127448784 128333845 154000614 159310980 191173176 205334152 212414640 231000921 238966470 256667690 308001228 318621960 382346352 385001535 410668304 462001842 477932940 513335380 616002456 637243920 693002763 770003070 924003684 955865880 1026670760 1155004605 1232004912 1386005526 1540006140 1848007368 1911731760 2053341520 2310009210 2772011052 3080012280 3465013815 3696014736 4620018420 5544022104 6160024560 6930027630 9240036840 11088044208 13860055260 18480073680 27720110520 55440221040