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144040344040100 = 225224148883122267
BaseRepresentation
bin100000110000000100000001…
…100010100011001010100100
3200220000010022020100211022202
4200300010001202203022210
5122334424111033240400
61230203115345514032
742224400001005314
oct4060040142431244
9626003266324282
10144040344040100
11419941920a5312
12141a3b97942918
13624ac3b938bc1
14277d838793444
15119bc4728b4d5
hex8301018a32a4

144040344040100 has 72 divisors (see below), whose sum is σ = 313873495164768. Its totient is φ = 57375423475200.

The previous prime is 144040344040037. The next prime is 144040344040123. The reversal of 144040344040100 is 1040443040441.

It is a super-2 number, since 2×1440403440401002 (a number of 29 digits) contains 22 as substring.

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, 1178019167 + ... + 1178141433.

Almost surely, 2144040344040100 is an apocalyptic number.

144040344040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144040344040100 is an abundant number, since it is smaller than the sum of its proper divisors (169833151124668).

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

144040344040100 is a wasteful number, since it uses less digits than its factorization.

144040344040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171405 (or 171398 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 144040344040100 its reverse (1040443040441), we get a palindrome (145080787080541).

The spelling of 144040344040100 in words is "one hundred forty-four trillion, forty billion, three hundred forty-four million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241 482 964 1205 2410 4820 6025 12050 24100 48883 97766 122267 195532 244415 244534 488830 489068 611335 977660 1222075 1222670 2444150 2445340 3056675 4888300 6113350 11780803 12226700 23561606 29466347 47123212 58904015 58932694 117808030 117865388 147331735 235616060 294520075 294663470 589040150 589326940 736658675 1178080300 1473317350 2946634700 5976777761 11953555522 23907111044 29883888805 59767777610 119535555220 149419444025 298838888050 597677776100 1440403440401 2880806880802 5761613761604 7202017202005 14404034404010 28808068808020 36010086010025 72020172020050 144040344040100