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140442100344 = 23337137144999
BaseRepresentation
bin1000001011001100000…
…0000110001001111000
3111102111122120220102000
42002303000012021320
54300111134202334
6144303533341000
713101200104410
oct2026300061170
9442448526360
10140442100344
11546199a4727
1223275937760
1310322354130
146b24231640
1539be94e299
hex20b3006278

140442100344 has 128 divisors (see below), whose sum is σ = 480144000000. Its totient is φ = 37039669632.

The previous prime is 140442100343. The next prime is 140442100399. The reversal of 140442100344 is 443001244041.

140442100344 is a `hidden beast` number, since 1 + 404 + 4 + 210 + 0 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140442100343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3552844 + ... + 3592155.

It is an arithmetic number, because the mean of its divisors is an integer number (3751125000).

Almost surely, 2140442100344 is an apocalyptic number.

140442100344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

140442100344 is an abundant number, since it is smaller than the sum of its proper divisors (339701899656).

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

140442100344 is a wasteful number, since it uses less digits than its factorization.

140442100344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7145034 (or 7145024 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 140442100344 its reverse (443001244041), we get a palindrome (583443344385).

The spelling of 140442100344 in words is "one hundred forty billion, four hundred forty-two million, one hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 7144999 14289998 21434997 28579996 42869994 50014993 57159992 64304991 85739988 92884987 100029986 128609982 150044979 171479976 185769974 192914973 200059972 257219964 278654961 300089958 371539948 385829946 400119944 450134937 514439928 557309922 600179916 650194909 743079896 771659892 835964883 900269874 1114619844 1200359832 1300389818 1350404811 1543319784 1671929766 1800539748 1950584727 2229239688 2507894649 2600779636 2700809622 3343859532 3601079496 3901169454 5015789298 5201559272 5401619244 5851754181 6687719064 7802338908 10031578596 10803238488 11703508362 15604677816 17555262543 20063157192 23407016724 35110525086 46814033448 70221050172 140442100344