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140412202400000 = 2855175515253
BaseRepresentation
bin11111111011010001000011…
…011100100011100100000000
3200102011021102210210001112202
4133323101003130203210000
5121401003142303300000
61214344250355012332
741401306161625226
oct3773210334434400
9612137383701482
10140412202400000
1140815531797343
12138b89aa59a0a8
136046a770cb06b
142695db5d16b16
15113769c2d5dd5
hex7fb443723900

140412202400000 has 108 divisors (see below), whose sum is σ = 350322479465364. Its totient is φ = 56164880640000.

The previous prime is 140412202399867. The next prime is 140412202400009. The reversal of 140412202400000 is 4202214041.

It can be written as a sum of positive squares in 6 ways, for example, as 138806852583424 + 1605349816576 = 11781632^2 + 1267024^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (140412202400009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86957627 + ... + 88557626.

Almost surely, 2140412202400000 is an apocalyptic number.

140412202400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140412202400000 is an abundant number, since it is smaller than the sum of its proper divisors (209910277065364).

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

140412202400000 is an frugal number, since it uses more digits than its factorization.

140412202400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175515294 (or 175515260 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 140412202400000 its reverse (4202214041), we get a palindrome (140416404614041).

The spelling of 140412202400000 in words is "one hundred forty trillion, four hundred twelve billion, two hundred two million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 16000 20000 25000 32000 40000 50000 80000 100000 160000 200000 400000 800000 175515253 351030506 702061012 877576265 1404122024 1755152530 2808244048 3510305060 4387881325 5616488096 7020610120 8775762650 11232976192 14041220240 17551525300 21939406625 22465952384 28082440480 35103050600 43878813250 44931904768 56164880960 70206101200 87757626500 109697033125 112329761920 140412202400 175515253000 219394066250 224659523840 280824404800 351030506000 438788132500 548485165625 561648809600 702061012000 877576265000 1096970331250 1123297619200 1404122024000 1755152530000 2193940662500 2808244048000 3510305060000 4387881325000 5616488096000 7020610120000 8775762650000 14041220240000 17551525300000 28082440480000 35103050600000 70206101200000 140412202400000