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144317007160 = 235109128925679
BaseRepresentation
bin1000011001100111110…
…1101100010100111000
3111210111200220120021021
42012121331230110320
54331030123212120
6150144234152224
713266211215004
oct2063175542470
9453450816237
10144317007160
1156228208557
1223b77582674
13107bc0875c1
146db0b01704
153b49c14aaa
hex2199f6c538

144317007160 has 64 divisors (see below), whose sum is σ = 327959280000. Its totient is φ = 57150600192.

The previous prime is 144317007157. The next prime is 144317007173. The reversal of 144317007160 is 61700713441.

144317007160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 5607201 + ... + 5632879.

It is an arithmetic number, because the mean of its divisors is an integer number (5124363750).

Almost surely, 2144317007160 is an apocalyptic number.

144317007160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144317007160 is an abundant number, since it is smaller than the sum of its proper divisors (183642272840).

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

144317007160 is a wasteful number, since it uses less digits than its factorization.

144317007160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27088 (or 27084 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 144317007160 in words is "one hundred forty-four billion, three hundred seventeen million, seven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 1289 2180 2578 4360 5156 6445 10312 12890 25679 25780 51358 51560 102716 128395 140501 205432 256790 281002 513580 562004 702505 1027160 1124008 1405010 2799011 2810020 5598022 5620040 11196044 13995055 22392088 27990110 33100231 55980220 66200462 111960440 132400924 165501155 264801848 331002310 662004620 1324009240 3607925179 7215850358 14431700716 18039625895 28863401432 36079251790 72158503580 144317007160