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142424044430440 = 235374491361157477
BaseRepresentation
bin100000011000100010101110…
…100100110110010001101000
3200200021121100112111101100211
4200120202232210312101220
5122131433420333233230
61222524411443510504
741666540410005343
oct4030425644662150
9620247315441324
10142424044430440
1141420775103943
1213b82898388434
1361616b6b67726
14272550942345a
15116eb99c2d42a
hex8188ae936468

142424044430440 has 128 divisors (see below), whose sum is σ = 330092470404000. Its totient is φ = 55265458913280.

The previous prime is 142424044430419. The next prime is 142424044430441. The reversal of 142424044430440 is 44034440424241.

It can be written as a sum of positive squares in 16 ways, for example, as 25948448857444 + 116475595572996 = 5093962^2 + 10792386^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 142424044430393 and 142424044430402.

It is not an unprimeable number, because it can be changed into a prime (142424044430441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 904332982 + ... + 904490458.

Almost surely, 2142424044430440 is an apocalyptic number.

142424044430440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142424044430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165046235202000).

142424044430440 is an abundant number, since it is smaller than the sum of its proper divisors (187668425973560).

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

142424044430440 is a wasteful number, since it uses less digits than its factorization.

142424044430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159335 (or 159331 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 40.

Adding to 142424044430440 its reverse (44034440424241), we get a palindrome (186458484854681).

The spelling of 142424044430440 in words is "one hundred forty-two trillion, four hundred twenty-four billion, forty-four million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 449 740 898 1361 1480 1796 2245 2722 3592 4490 5444 6805 8980 10888 13610 16613 17960 27220 33226 50357 54440 66452 83065 100714 132904 157477 166130 201428 251785 314954 332260 402856 503570 611089 629908 664520 787385 1007140 1222178 1259816 1574770 2014280 2444356 3055445 3149540 4888712 5826649 6110890 6299080 11653298 12221780 22610293 23306596 24443560 29133245 45220586 46613192 58266490 70707173 90441172 113051465 116532980 141414346 180882344 214326197 226102930 233065960 282828692 353535865 428652394 452205860 565657384 707071730 857304788 904411720 1071630985 1414143460 1714609576 2143261970 2616165401 2828286920 4286523940 5232330802 7930069289 8573047880 10464661604 13080827005 15860138578 20929323208 26161654010 31720277156 39650346445 52323308020 63440554312 79300692890 96232462453 104646616040 158601385780 192464924906 317202771560 384929849812 481162312265 769859699624 962324624530 1924649249060 3560601110761 3849298498120 7121202221522 14242404443044 17803005553805 28484808886088 35606011107610 71212022215220 142424044430440