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142244166240 = 25325118980061
BaseRepresentation
bin1000010001111001101…
…0011011101001100000
3111121011020111100002100
42010132122123221200
54312304001304430
6145202430050400
713163641315011
oct2043632335140
9447136440070
10142244166240
115536413a490
1223699349a00
131054b7b8607
146c556c5008
153a77c64960
hex211e69ba60

142244166240 has 144 divisors (see below), whose sum is σ = 529536296016. Its totient is φ = 34483430400.

The previous prime is 142244166167. The next prime is 142244166257. The reversal of 142244166240 is 42661442241.

142244166240 is a `hidden beast` number, since 1 + 4 + 2 + 24 + 4 + 1 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 142244166195 and 142244166204.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4474191 + ... + 4505870.

It is an arithmetic number, because the mean of its divisors is an integer number (3677335389).

Almost surely, 2142244166240 is an apocalyptic number.

142244166240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142244166240 is an abundant number, since it is smaller than the sum of its proper divisors (387292129776).

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

142244166240 is a wasteful number, since it uses less digits than its factorization.

142244166240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8980093 (or 8980082 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 142244166240 in words is "one hundred forty-two billion, two hundred forty-four million, one hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 8980061 17960122 26940183 35920244 44900305 53880366 71840488 80820549 89800610 98780671 107760732 134700915 143680976 161641098 179601220 197561342 215521464 269401830 287361952 296342013 323282196 359202440 395122684 404102745 431042928 493903355 538803660 592684026 646564392 718404880 790245368 808205490 862085856 889026039 987806710 1077607320 1185368052 1293128784 1436809760 1481710065 1580490736 1616410980 1778052078 1975613420 2155214640 2370736104 2586257568 2963420130 3160981472 3232821960 3556104156 3951226840 4310429280 4445130195 4741472208 5926840260 6465643920 7112208312 7902453680 8890260390 9482944416 11853680520 12931287840 14224416624 15804907360 17780520780 23707361040 28448833248 35561041560 47414722080 71122083120 142244166240