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30140010000 = 243254334889
BaseRepresentation
bin11100000100011111…
…000000111000010000
32212210111202010222200
4130010133000320100
5443211320310000
621502433003200
72114616600162
oct340437007020
985714663880
1030140010000
1111867282681
125a119b3500
132ac43a6b59
14165cc92932
15bb6083500
hex7047c0e10

30140010000 has 150 divisors (see below), whose sum is σ = 105404283270. Its totient is φ = 8037312000.

The previous prime is 30140009953. The next prime is 30140010011. The reversal of 30140010000 is 1004103.

It can be written as a sum of positive squares in 5 ways, for example, as 13996782864 + 16143227136 = 118308^2 + 127056^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 77445 + ... + 257444.

Almost surely, 230140010000 is an apocalyptic number.

30140010000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30140010000 is an abundant number, since it is smaller than the sum of its proper divisors (75264273270).

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

30140010000 is a wasteful number, since it uses less digits than its factorization.

30140010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334923 (or 334899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 30140010000 its reverse (1004103), we get a palindrome (30141014103).

The spelling of 30140010000 in words is "thirty billion, one hundred forty million, ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 334889 669778 1004667 1339556 1674445 2009334 2679112 3014001 3348890 4018668 5023335 5358224 6028002 6697780 8037336 8372225 10046670 12056004 13395560 15070005 16074672 16744450 20093340 24112008 25116675 26791120 30140010 33488900 40186680 41861125 48224016 50233350 60280020 66977800 75350025 80373360 83722250 100466700 120560040 125583375 133955600 150700050 167444500 200933400 209305625 241120080 251166750 301400100 334889000 376750125 401866800 418611250 502333500 602800200 627916875 669778000 753500250 837222500 1004667000 1205600400 1255833750 1507000500 1674445000 1883750625 2009334000 2511667500 3014001000 3348890000 3767501250 5023335000 6028002000 7535002500 10046670000 15070005000 30140010000