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140242021421000 = 2353709215391873
BaseRepresentation
bin11111111000110010100011…
…110111101000111111001000
3200101120000011121020120220112
4133320302203313220333020
5121340211124440433000
61214134143434013452
741353103012313422
oct3770624367507710
9611500147216815
10140242021421000
114075a341a98a54
121388ba15277288
1360339c5819615
14268ba7020d812
15113303bb3c235
hex7f8ca3de8fc8

140242021421000 has 128 divisors (see below), whose sum is σ = 328785404594400. Its totient is φ = 55991059660800.

The previous prime is 140242021420993. The next prime is 140242021421023. The reversal of 140242021421000 is 124120242041.

It can be written as a sum of positive squares in 16 ways, for example, as 12837931996036 + 127404089424964 = 3583006^2 + 11287342^2 .

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, 1526431064 + ... + 1526522936.

Almost surely, 2140242021421000 is an apocalyptic number.

140242021421000 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 140242021421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164392702297200).

140242021421000 is an abundant number, since it is smaller than the sum of its proper divisors (188543383173400).

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

140242021421000 is a wasteful number, since it uses less digits than its factorization.

140242021421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94756 (or 94742 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 140242021421000 its reverse (124120242041), we get a palindrome (140366141663041).

The spelling of 140242021421000 in words is "one hundred forty trillion, two hundred forty-two billion, twenty-one million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 709 1000 1418 2153 2836 3545 4306 5672 7090 8612 10765 14180 17224 17725 21530 28360 35450 43060 53825 70900 86120 88625 91873 107650 141800 177250 183746 215300 269125 354500 367492 430600 459365 538250 709000 734984 918730 1076500 1526477 1837460 2153000 2296825 3052954 3674920 4593650 6105908 7632385 9187300 11484125 12211816 15264770 18374600 22968250 30529540 38161925 45936500 61059080 65137957 76323850 91873000 130275914 152647700 190809625 197802569 260551828 305295400 325689785 381619250 395605138 521103656 651379570 763238500 791210276 989012845 1302759140 1526477000 1582420552 1628448925 1978025690 2605518280 3256897850 3956051380 4945064225 6513795700 7912102760 8142244625 9890128450 13027591400 16284489250 19780256900 24725321125 32568978500 39560513800 49450642250 65137957000 98901284500 140242021421 197802569000 280484042842 560968085684 701210107105 1121936171368 1402420214210 2804840428420 3506050535525 5609680856840 7012101071050 14024202142100 17530252677625 28048404284200 35060505355250 70121010710500 140242021421000