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144233345205 = 325193111348157
BaseRepresentation
bin1000011001010011111…
…0100011000010110101
3111210021212111002122100
42012110332203002311
54330342214021310
6150132045052313
713264144130415
oct2062476430265
9453255432570
10144233345205
1156194a66044
1223b53557099
13107a79444a1
146da3964645
153b426daec0
hex2194fa30b5

144233345205 has 96 divisors (see below), whose sum is σ = 274061399040. Its totient is φ = 69899397120.

The previous prime is 144233345189. The next prime is 144233345231. The reversal of 144233345205 is 502543332441.

144233345205 is a `hidden beast` number, since 1 + 442 + 3 + 3 + 3 + 4 + 5 + 205 = 666.

It is not a de Polignac number, because 144233345205 - 24 = 144233345189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144233345205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2970987 + ... + 3019143.

It is an arithmetic number, because the mean of its divisors is an integer number (2854806240).

Almost surely, 2144233345205 is an apocalyptic number.

144233345205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144233345205 is a deficient number, since it is larger than the sum of its proper divisors (129828053835).

144233345205 is a wasteful number, since it uses less digits than its factorization.

144233345205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48331 (or 48328 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 144233345205 its reverse (502543332441), we get a palindrome (646776677646).

The spelling of 144233345205 in words is "one hundred forty-four billion, two hundred thirty-three million, three hundred forty-five thousand, two hundred five".

Divisors: 1 3 5 9 15 19 31 45 57 93 95 113 155 171 279 285 339 465 565 589 855 1017 1395 1695 1767 2147 2945 3503 5085 5301 6441 8835 10509 10735 17515 19323 26505 31527 32205 48157 52545 66557 96615 144471 157635 199671 240785 332785 433413 599013 722355 914983 998355 1492867 2167065 2744949 2995065 4478601 4574915 5441741 7464335 8234847 13435803 13724745 16325223 22393005 27208705 28364473 41174235 48975669 67179015 81626115 85093419 103393079 141822365 168693971 244878345 255280257 310179237 425467095 506081913 516965395 843469855 930537711 1276401285 1518245739 1550896185 2530409565 3205185449 4652688555 7591228695 9615556347 16025927245 28846669041 48077781735 144233345205