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142131224144 = 24713971006367
BaseRepresentation
bin1000010001011110101…
…1100101111001010000
3111120212100222021122202
42010113223211321100
54312041043133034
6145143313222332
713161100320530
oct2042753457120
9446770867582
10142131224144
1155306409408
12236675619a8
1310531293080
146c446c54c0
153a6cda547e
hex2117ae5e50

142131224144 has 80 divisors (see below), whose sum is σ = 342422750208. Its totient is φ = 55648014336.

The previous prime is 142131224093. The next prime is 142131224149. The reversal of 142131224144 is 441422131241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142131224149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361952 + ... + 644415.

Almost surely, 2142131224144 is an apocalyptic number.

142131224144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

142131224144 is an abundant number, since it is smaller than the sum of its proper divisors (200291526064).

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

142131224144 is a wasteful number, since it uses less digits than its factorization.

142131224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006492 (or 1006486 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

Adding to 142131224144 its reverse (441422131241), we get a palindrome (583553355385).

The spelling of 142131224144 in words is "one hundred forty-two billion, one hundred thirty-one million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 97 104 112 182 194 208 364 388 679 728 776 1261 1358 1456 1552 2522 2716 5044 5432 8827 10088 10864 17654 20176 35308 70616 141232 1006367 2012734 4025468 7044569 8050936 13082771 14089138 16101872 26165542 28178276 52331084 56356552 91579397 97617599 104662168 112713104 183158794 195235198 209324336 366317588 390470396 683323193 732635176 780940792 1269028787 1366646386 1465270352 1561881584 2538057574 2733292772 5076115148 5466585544 8883201509 10152230296 10933171088 17766403018 20304460592 35532806036 71065612072 142131224144