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140442142331232 = 25327501471389191
BaseRepresentation
bin11111111011101100111100…
…000000010101000101100000
3200102021010201101001011001200
4133323230330000111011200
5121402001001414044412
61214410121323401200
741403416132062410
oct3773547400250540
9612233641034050
10140442142331232
11408271a6032865
1213902765383200
136049838bc0ac1
1426976163a6640
1511383509e69dc
hex7fbb3c015160

140442142331232 has 144 divisors (see below), whose sum is σ = 456446393125632. Its totient is φ = 40125497322240.

The previous prime is 140442142331149. The next prime is 140442142331237. The reversal of 140442142331232 is 232133241244041.

140442142331232 is a `hidden beast` number, since 1 + 4 + 0 + 442 + 142 + 33 + 12 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140442142331237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100401757 + ... + 101790947.

It is an arithmetic number, because the mean of its divisors is an integer number (3169766618928).

Almost surely, 2140442142331232 is an apocalyptic number.

140442142331232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140442142331232 is an abundant number, since it is smaller than the sum of its proper divisors (316004250794400).

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

140442142331232 is a wasteful number, since it uses less digits than its factorization.

140442142331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439361 (or 1439350 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 140442142331232 its reverse (232133241244041), we get a palindrome (372575383575273).

The spelling of 140442142331232 in words is "one hundred forty trillion, four hundred forty-two billion, one hundred forty-two million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 50147 100294 150441 200588 300882 351029 401176 451323 601764 702058 802352 902646 1053087 1203528 1389191 1404116 1604704 1805292 2106174 2407056 2778382 2808232 3159261 3610584 4167573 4212348 4814112 5556764 5616464 6318522 7221168 8335146 8424696 9724337 11113528 11232928 12502719 12637044 14442336 16670292 16849392 19448674 22227056 25005438 25274088 29173011 33340584 33698784 38897348 44454112 50010876 50548176 58346022 66681168 77794696 87519033 100021752 101096352 116692044 133362336 155589392 175038066 200043504 233384088 311178784 350076132 400087008 466768176 700152264 933536352 1400304528 2800609056 69663761077 139327522154 208991283231 278655044308 417982566462 487646327539 557310088616 626973849693 835965132924 975292655078 1114620177232 1253947699386 1462938982617 1671930265848 1950585310156 2229240354464 2507895398772 2925877965234 3343860531696 3901170620312 4388816947851 5015790797544 5851755930468 6687721063392 7802341240624 8777633895702 10031581595088 11703511860936 15604682481248 17555267791404 20063163190176 23407023721872 35110535582808 46814047443744 70221071165616 140442142331232