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140142100 = 225271941257
BaseRepresentation
bin10000101101001…
…10011000010100
3100202200221211011
420112212120110
5241334021400
621523422004
73321121360
oct1026463024
9322627734
10140142100
117211991a
123ab24904
1323059c27
14148802a0
15c4838ba
hex85a6614

140142100 has 144 divisors (see below), whose sum is σ = 376225920. Its totient is φ = 44236800.

The previous prime is 140142083. The next prime is 140142113. The reversal of 140142100 is 1241041.

140142100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545172 + ... + 545428.

It is an arithmetic number, because the mean of its divisors is an integer number (2612680).

Almost surely, 2140142100 is an apocalyptic number.

140142100 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 140142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188112960).

140142100 is an abundant number, since it is smaller than the sum of its proper divisors (236083820).

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

140142100 is a wasteful number, since it uses less digits than its factorization.

140142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 140142100 is about 11838.1628642286. The cubic root of 140142100 is about 519.4250301642.

Adding to 140142100 its reverse (1241041), we get a palindrome (141383141).

The spelling of 140142100 in words is "one hundred forty million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 41 50 70 76 82 95 100 133 140 164 175 190 205 257 266 287 350 380 410 475 514 532 574 665 700 779 820 950 1025 1028 1148 1285 1330 1435 1558 1799 1900 2050 2570 2660 2870 3116 3325 3598 3895 4100 4883 5140 5453 5740 6425 6650 7175 7196 7790 8995 9766 10537 10906 12850 13300 14350 15580 17990 19475 19532 21074 21812 24415 25700 27265 28700 34181 35980 38950 42148 44975 48830 52685 54530 68362 73759 77900 89950 97660 105370 109060 122075 136325 136724 147518 170905 179900 200203 210740 244150 263425 272650 295036 341810 368795 400406 488300 526850 545300 683620 737590 800812 854525 1001015 1053700 1401421 1475180 1709050 1843975 2002030 2802842 3418100 3687950 4004060 5005075 5605684 7007105 7375900 10010150 14014210 20020300 28028420 35035525 70071050 140142100