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144579468923140 = 22573197661760477
BaseRepresentation
bin100000110111111010000111…
…111000110001000100000100
3200221220122212202221112021111
4200313322013320301010010
5122422242223021020030
61231254520251054404
742311344006624246
oct4067720770610404
9627818782845244
10144579468923140
1142081899034499
1214270577741404
136289a29745734
14279b97dc64096
1511aac9cb4262a
hex837e87e31104

144579468923140 has 96 divisors (see below), whose sum is σ = 309806727731424. Its totient is φ = 56664101007360.

The previous prime is 144579468923119. The next prime is 144579468923159. The reversal of 144579468923140 is 41329864975441.

It can be written as a sum of positive squares in 16 ways, for example, as 1374352939584 + 143205115983556 = 1172328^2 + 11966834^2 .

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, 189736582 + ... + 190497058.

It is an arithmetic number, because the mean of its divisors is an integer number (3227153413869).

It is a 2-persistent number, because it is pandigital, and so is 2⋅144579468923140 = 289158937846280, but 3⋅144579468923140 = 433738406769420 is not.

Almost surely, 2144579468923140 is an apocalyptic number.

144579468923140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144579468923140 is an abundant number, since it is smaller than the sum of its proper divisors (165227258808284).

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

144579468923140 is a wasteful number, since it uses less digits than its factorization.

144579468923140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761417 (or 761415 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 67.

The spelling of 144579468923140 in words is "one hundred forty-four trillion, five hundred seventy-nine billion, four hundred sixty-eight million, nine hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 73 146 197 292 365 394 661 730 788 985 1322 1460 1970 2644 3305 3940 6610 13220 14381 28762 48253 57524 71905 96506 130217 143810 193012 241265 260434 287620 482530 520868 651085 760477 965060 1302170 1520954 2604340 3041908 3802385 7604770 9505841 15209540 19011682 38023364 47529205 55514821 95058410 111029642 149813969 190116820 222059284 277574105 299627938 502675297 555148210 599255876 749069845 1005350594 1110296420 1498139690 2010701188 2513376485 2996279380 5026752970 10053505940 10936419737 21872839474 36695296681 43745678948 54682098685 73390593362 99027033509 109364197370 146781186724 183476483405 198054067018 218728394740 366952966810 396108134036 495135167545 733905933620 990270335090 1980540670180 7228973446157 14457946892314 28915893784628 36144867230785 72289734461570 144579468923140