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144244003873000 = 2353314799000689
BaseRepresentation
bin100000110011000001101100…
…100111001010000011101000
3200220201120222122021021201211
4200303001230213022003220
5122401243204442414000
61230440440334522504
742245166612014143
oct4063015447120350
9626646878237654
10144244003873000
1141a625a18310a9
1214217555066434
1362641c7257075
14278963895b05a
1511a21b6b907ba
hex83306c9ca0e8

144244003873000 has 128 divisors (see below), whose sum is σ = 355832240025600. Its totient is φ = 54648379776000.

The previous prime is 144244003872973. The next prime is 144244003873043. The reversal of 144244003873000 is 378300442441.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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, 48043345 + ... + 50957344.

It is an arithmetic number, because the mean of its divisors is an integer number (2779939375200).

Almost surely, 2144244003873000 is an apocalyptic number.

144244003873000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144244003873000 is an abundant number, since it is smaller than the sum of its proper divisors (211588236152600).

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

144244003873000 is a wasteful number, since it uses less digits than its factorization.

144244003873000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99000788 (or 99000774 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 144244003873000 in words is "one hundred forty-four trillion, two hundred forty-four billion, three million, eight hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 47 50 62 94 100 124 125 155 188 200 235 248 250 310 376 470 500 620 775 940 1000 1175 1240 1457 1550 1880 2350 2914 3100 3875 4700 5828 5875 6200 7285 7750 9400 11656 11750 14570 15500 23500 29140 31000 36425 47000 58280 72850 145700 182125 291400 364250 728500 1457000 99000689 198001378 396002756 495003445 792005512 990006890 1980013780 2475017225 3069021359 3960027560 4653032383 4950034450 6138042718 9306064766 9900068900 12276085436 12375086125 15345106795 18612129532 19800137800 23265161915 24552170872 24750172250 30690213590 37224259064 46530323830 49500344500 61380427180 76725533975 93060647660 99000689000 116325809575 122760854360 144244003873 153451067950 186121295320 232651619150 288488007746 306902135900 383627669875 465303238300 576976015492 581629047875 613804271800 721220019365 767255339750 930606476600 1153952030984 1163258095750 1442440038730 1534510679500 2326516191500 2884880077460 3069021359000 3606100096825 4653032383000 5769760154920 7212200193650 14424400387300 18030500484125 28848800774600 36061000968250 72122001936500 144244003873000