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144551141551120 = 245192693471018817
BaseRepresentation
bin100000110111011111101111…
…011100011010110000010000
3200221210221202120222221010211
4200313133233130122300100
5122421311214214113440
61231233513325133504
742306322020135643
oct4067375734326020
9627727676887124
10144551141551120
1142070881a68637
1214266b909ba294
136287163a65145
14279a453a17a5a
1511aa190cb1eea
hex8377ef71ac10

144551141551120 has 160 divisors (see below), whose sum is σ = 356108678121600. Its totient is φ = 54416315547648.

The previous prime is 144551141551049. The next prime is 144551141551171. The reversal of 144551141551120 is 21155141155441.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141371952 + ... + 142390768.

It is an arithmetic number, because the mean of its divisors is an integer number (2225679238260).

Almost surely, 2144551141551120 is an apocalyptic number.

144551141551120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144551141551120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178054339060800).

144551141551120 is an abundant number, since it is smaller than the sum of its proper divisors (211557536570480).

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

144551141551120 is a wasteful number, since it uses less digits than its factorization.

144551141551120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019465 (or 1019459 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 40.

The spelling of 144551141551120 in words is "one hundred forty-four trillion, five hundred fifty-one billion, one hundred forty-one million, five hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 269 304 347 380 538 694 760 1076 1345 1388 1520 1735 2152 2690 2776 3470 4304 5111 5380 5552 6593 6940 10222 10760 13186 13880 20444 21520 25555 26372 27760 32965 40888 51110 52744 65930 81776 93343 102220 105488 131860 186686 204440 263720 373372 408880 466715 527440 746744 933430 1018817 1493488 1773517 1866860 2037634 3547034 3733720 4075268 5094085 7094068 7467440 8150536 8867585 10188170 14188136 16301072 17735170 19357523 20376340 28376272 35470340 38715046 40752680 70940680 77430092 81505360 96787615 141881360 154860184 193575230 274061773 309720368 353529499 387150460 548123546 707058998 774300920 1096247092 1370308865 1414117996 1548601840 1767647495 2192494184 2740617730 2828235992 3535294990 4384988368 5207173687 5481235460 5656471984 6717060481 7070589980 10414347374 10962470920 13434120962 14141179960 20828694748 21924941840 26035868435 26868241924 28282359920 33585302405 41657389496 52071736870 53736483848 67170604810 83314778992 95099435231 104143473740 107472967696 134341209620 190198870462 208286947480 268682419240 380397740924 416573894960 475497176155 537364838480 760795481848 950994352310 1521590963696 1806889269389 1901988704620 3613778538778 3803977409240 7227557077556 7607954818480 9034446346945 14455114155112 18068892693890 28910228310224 36137785387780 72275570775560 144551141551120