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144660345420060 = 223256113174894847
BaseRepresentation
bin100000111001000101011100…
…100000000111100100011100
3200222012101122012100021000100
4200321011130200013210130
5122430103341411420220
61231400013435101100
742320236133535411
oct4071053440074434
9628171565307010
10144660345420060
114210312077a698
1214284188ba1790
136294548335182
1427a185319c108
1511ace33048d90
hex83915c80791c

144660345420060 has 72 divisors (see below), whose sum is σ = 445996540394496. Its totient is φ = 37943697156480.

The previous prime is 144660345419983. The next prime is 144660345420077. The reversal of 144660345420060 is 60024543066441.

144660345420060 is a `hidden beast` number, since 1 + 4 + 46 + 6 + 0 + 3 + 4 + 542 + 0 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 144660345419988 and 144660345420015.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6587436444 + ... + 6587458403.

It is an arithmetic number, because the mean of its divisors is an integer number (6194396394368).

Almost surely, 2144660345420060 is an apocalyptic number.

144660345420060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144660345420060 is an abundant number, since it is smaller than the sum of its proper divisors (301336194974436).

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

144660345420060 is a wasteful number, since it uses less digits than its factorization.

144660345420060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13174894923 (or 13174894918 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 144660345420060 in words is "one hundred forty-four trillion, six hundred sixty billion, three hundred forty-five million, four hundred twenty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 13174894847 26349789694 39524684541 52699579388 65874474235 79049369082 118574053623 131748948470 158098738164 197623422705 237148107246 263497896940 395246845410 474296214492 592870268115 790493690820 803668585667 1185740536230 1607337171334 2371481072460 2411005757001 3214674342668 4018342928335 4822011514002 7233017271003 8036685856670 9644023028004 12055028785005 14466034542006 16073371713340 24110057570010 28932069084012 36165086355015 48220115140020 72330172710030 144660345420060