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142314440000 = 265410633347
BaseRepresentation
bin1000010010001010011…
…0100000010101000000
3111121100010201121120012
42010202212200111000
54312424444040000
6145213420204052
713165453531535
oct2044246402500
9447303647505
10142314440000
115539a878177
12236b8999628
1310560221915
146c60b78d8c
153a7dee6735
hex21229a0540

142314440000 has 140 divisors (see below), whose sum is σ = 353331072864. Its totient is φ = 56855232000.

The previous prime is 142314439991. The next prime is 142314440077. The reversal of 142314440000 is 44413241.

It is a happy number.

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 19 ways as a sum of consecutive naturals, for example, 42518327 + ... + 42521673.

Almost surely, 2142314440000 is an apocalyptic number.

142314440000 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 142314440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176665536432).

142314440000 is an abundant number, since it is smaller than the sum of its proper divisors (211016632864).

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

142314440000 is an equidigital number, since it uses as much as digits as its factorization.

142314440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 142314440000 its reverse (44413241), we get a palindrome (142358853241).

The spelling of 142314440000 in words is "one hundred forty-two billion, three hundred fourteen million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1063 1250 1600 2000 2126 2500 3347 4000 4252 5000 5315 6694 8000 8504 10000 10630 13388 16735 17008 20000 21260 26575 26776 33470 34016 40000 42520 53150 53552 66940 68032 83675 85040 106300 107104 132875 133880 167350 170080 212600 214208 265750 267760 334700 340160 418375 425200 531500 535520 664375 669400 836750 850400 1063000 1071040 1328750 1338800 1673500 1700800 2091875 2126000 2657500 2677600 3347000 3557861 4183750 4252000 5315000 5355200 6694000 7115722 8367500 8504000 10630000 13388000 14231444 16735000 17789305 21260000 26776000 28462888 33470000 35578610 42520000 56925776 66940000 71157220 88946525 113851552 133880000 142314440 177893050 227703104 284628880 355786100 444732625 569257760 711572200 889465250 1138515520 1423144400 1778930500 2223663125 2846288800 3557861000 4447326250 5692577600 7115722000 8894652500 14231444000 17789305000 28462888000 35578610000 71157220000 142314440000