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140442131301444 = 22337409145409439
BaseRepresentation
bin11111111011101100111011…
…010110010000010001000100
3200102021010200121021210001000
4133323230323112100101010
5121402000441103121234
61214410120251133300
741403415636243530
oct3773547326202104
9612233617253030
10140442131301444
114082719a889a35
1213902761744230
13604983682b5bb
142697614b34bc0
15113834ea68899
hex7fbb3b590444

140442131301444 has 96 divisors (see below), whose sum is σ = 416226559795200. Its totient is φ = 40116513906720.

The previous prime is 140442131301427. The next prime is 140442131301463. The reversal of 140442131301444 is 444103131244041.

140442131301444 is a `hidden beast` number, since 1 + 4 + 0 + 442 + 131 + 30 + 14 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140442131301399 and 140442131301408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19611924 + ... + 25797515.

It is an arithmetic number, because the mean of its divisors is an integer number (4335693331200).

Almost surely, 2140442131301444 is an apocalyptic number.

140442131301444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

140442131301444 is an abundant number, since it is smaller than the sum of its proper divisors (275784428493756).

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

140442131301444 is a wasteful number, since it uses less digits than its factorization.

140442131301444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45413550 (or 45413542 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 140442131301444 its reverse (444103131244041), we get a palindrome (584545262545485).

The spelling of 140442131301444 in words is "one hundred forty trillion, four hundred forty-two billion, one hundred thirty-one million, three hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 4091 8182 12273 16364 24546 28637 36819 49092 57274 73638 85911 110457 114548 147276 171822 220914 257733 343644 441828 515466 773199 1030932 1546398 3092796 45409439 90818878 136228317 181637756 272456634 317866073 408684951 544913268 635732146 817369902 953598219 1226054853 1271464292 1634739804 1907196438 2452109706 2860794657 3814392876 4904219412 5721589314 8582383971 11443178628 17164767942 34329535884 185770014949 371540029898 557310044847 743080059796 1114620089694 1300390104643 1671930134541 2229240179388 2600780209286 3343860269082 3901170313929 5015790403623 5201560418572 6687720538164 7802340627858 10031580807246 11703510941787 15604681255716 20063161614492 23407021883574 35110532825361 46814043767148 70221065650722 140442131301444