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144565065645 = 357111373131891
BaseRepresentation
bin1000011010100010111…
…1111101011110101101
3111211010222200020112120
42012220233331132231
54332032124100040
6150225015023153
713305312532410
oct2065057753655
9454128606476
10144565065645
1156345235570
122402666aab9
131082b59a380
146dd5a33b77
153b618b37d0
hex21a8bfd7ad

144565065645 has 128 divisors (see below), whose sum is σ = 314818818048. Its totient is φ = 54697420800.

The previous prime is 144565065629. The next prime is 144565065661. The reversal of 144565065645 is 546560565441.

It is an interprime number because it is at equal distance from previous prime (144565065629) and next prime (144565065661).

It is not a de Polignac number, because 144565065645 - 24 = 144565065629 is a prime.

It is a super-3 number, since 3×1445650656453 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1030150 + ... + 1162040.

It is an arithmetic number, because the mean of its divisors is an integer number (2459522016).

Almost surely, 2144565065645 is an apocalyptic number.

144565065645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144565065645 is an abundant number, since it is smaller than the sum of its proper divisors (170253752403).

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

144565065645 is a wasteful number, since it uses less digits than its factorization.

144565065645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132003.

The product of its (nonzero) digits is 8640000, while the sum is 51.

The spelling of 144565065645 in words is "one hundred forty-four billion, five hundred sixty-five million, sixty-five thousand, six hundred forty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 73 77 91 105 143 165 195 219 231 273 365 385 429 455 511 715 803 949 1001 1095 1155 1365 1533 2145 2409 2555 2847 3003 4015 4745 5005 5621 6643 7665 10439 12045 14235 15015 16863 19929 28105 31317 33215 52195 73073 84315 99645 131891 156585 219219 365365 395673 659455 923237 1096095 1450801 1714583 1978365 2769711 4352403 4616185 5143749 7254005 8572915 9628043 10155607 12002081 13848555 18860413 21762015 25718745 28884129 30466821 36006243 48140215 50778035 56581239 60010405 67396301 94302065 105908473 125164559 132022891 144420645 152334105 180031215 202188903 282906195 317725419 336981505 375493677 396068673 529542365 625822795 660114455 741359311 876151913 1010944515 1376810149 1588627095 1877468385 1980343365 2224077933 2628455739 3706796555 4130430447 4380759565 6884050745 9637671043 11120389665 13142278695 20652152235 28913013129 48188355215 144565065645