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144294432912 = 2434715905471
BaseRepresentation
bin1000011001100010011…
…1100101000010010000
3111210110010102200020000
42012120213211002100
54331003333323122
6150142110250000
713265515304610
oct2063047450220
9453403380200
10144294432912
115621649a153
1223b6bab6900
13107b74b2566
146dabb06a40
153b47c560ac
hex21989e5090

144294432912 has 100 divisors (see below), whose sum is σ = 477291403776. Its totient is φ = 41226978240.

The previous prime is 144294432901. The next prime is 144294432913. The reversal of 144294432912 is 219234492441.

144294432912 is a `hidden beast` number, since 1 + 4 + 42 + 94 + 432 + 91 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (144294432913) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7943664 + ... + 7961807.

Almost surely, 2144294432912 is an apocalyptic number.

144294432912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144294432912 is an abundant number, since it is smaller than the sum of its proper divisors (332996970864).

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

144294432912 is a wasteful number, since it uses less digits than its factorization.

144294432912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15905498 (or 15905483 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 144294432912 in words is "one hundred forty-four billion, two hundred ninety-four million, four hundred thirty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 15905471 31810942 47716413 63621884 95432826 111338297 127243768 143149239 190865652 222676594 254487536 286298478 334014891 381731304 429447717 445353188 572596956 668029782 763462608 858895434 890706376 1002044673 1145193912 1288343151 1336059564 1717790868 1781412752 2004089346 2290387824 2576686302 2672119128 3006134019 3435581736 4008178692 5153372604 5344238256 6012268038 6871163472 8016357384 9018402057 10306745208 12024536076 16032714768 18036804114 20613490416 24049072152 36073608228 48098144304 72147216456 144294432912