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542422214640 = 243256591143193
BaseRepresentation
bin1111110010010101110…
…00100010011111110000
31220212002100002111120100
413321022320202133300
532341340041332030
61053104010312400
754121504515405
oct7711270423760
91825070074510
10542422214640
1119a049221219
1289160128700
133c1c4c96427
141c3793942ac
15e19a0cd360
hex7e4ae227f0

542422214640 has 120 divisors (see below), whose sum is σ = 1824400440720. Its totient is φ = 144426304512.

The previous prime is 542422214623. The next prime is 542422214641. The reversal of 542422214640 is 46412224245.

542422214640 is a `hidden beast` number, since 5 + 4 + 2 + 4 + 2 + 2 + 2 + 1 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 542422214595 and 542422214604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542422214641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97117 + ... + 1046076.

It is an arithmetic number, because the mean of its divisors is an integer number (15203337006).

Almost surely, 2542422214640 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 542422214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912200220360).

542422214640 is an abundant number, since it is smaller than the sum of its proper divisors (1281978226080).

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

542422214640 is a wasteful number, since it uses less digits than its factorization.

542422214640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143871 (or 1143862 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 542422214640 its reverse (46412224245), we get a palindrome (588834438885).

The spelling of 542422214640 in words is "five hundred forty-two billion, four hundred twenty-two million, two hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 659 720 1318 1977 2636 3295 3954 5272 5931 6590 7908 9885 10544 11862 13180 15816 19770 23724 26360 29655 31632 39540 47448 52720 59310 79080 94896 118620 158160 237240 474480 1143193 2286386 3429579 4572772 5715965 6859158 9145544 10288737 11431930 13718316 17147895 18291088 20577474 22863860 27436632 34295790 41154948 45727720 51443685 54873264 68591580 82309896 91455440 102887370 137183160 164619792 205774740 274366320 411549480 753364187 823098960 1506728374 2260092561 3013456748 3766820935 4520185122 6026913496 6780277683 7533641870 9040370244 11300462805 12053826992 13560555366 15067283740 18080740488 22600925610 27121110732 30134567480 33901388415 36161480976 45201851220 54242221464 60269134960 67802776830 90403702440 108484442928 135605553660 180807404880 271211107320 542422214640