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144495513720 = 233252317451149
BaseRepresentation
bin1000011010010010011…
…0101001000001111000
3111210222010210122020100
42012210212221001320
54331411322414340
6150214052155400
713303506413205
oct2064446510170
9453863718210
10144495513720
1156309a50138
1224007308b60
131081a05779c
146dca6cacac
153b5a725830
hex21a49a9078

144495513720 has 96 divisors (see below), whose sum is σ = 490028292000. Its totient is φ = 36856824576.

The previous prime is 144495513713. The next prime is 144495513731. The reversal of 144495513720 is 27315594441.

144495513720 is a `hidden beast` number, since 1 + 4 + 4 + 49 + 551 + 37 + 20 = 666.

144495513720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8717295 + ... + 8733854.

It is an arithmetic number, because the mean of its divisors is an integer number (5104461375).

Almost surely, 2144495513720 is an apocalyptic number.

144495513720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144495513720 is an abundant number, since it is smaller than the sum of its proper divisors (345532778280).

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

144495513720 is a wasteful number, since it uses less digits than its factorization.

144495513720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17451189 (or 17451182 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 144495513720 in words is "one hundred forty-four billion, four hundred ninety-five million, five hundred thirteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 17451149 34902298 52353447 69804596 87255745 104706894 139609192 157060341 174511490 209413788 261767235 314120682 349022980 401376427 418827576 523534470 628241364 698045960 785301705 802752854 1047068940 1204129281 1256482728 1570603410 1605505708 2006882135 2094137880 2408258562 3141206820 3211011416 3612387843 4013764270 4816517124 6020646405 6282413640 7224775686 8027528540 9633034248 12041292810 14449551372 16055057080 18061939215 24082585620 28899102744 36123878430 48165171240 72247756860 144495513720