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3140021444400 = 243252872228179
BaseRepresentation
bin101101101100010111110…
…111001101111100110000
3102010011221111022122101100
4231230113313031330300
5402421230442210100
610402301141004400
7442600441616361
oct55542767157460
912104844278340
103140021444400
111000748277365
124286829b3700
1319a14498c899
14abd99307b68
1556a2c29e400
hex2db17dcdf30

3140021444400 has 90 divisors (see below), whose sum is σ = 10896746652740. Its totient is φ = 837339050880.

The previous prime is 3140021444387. The next prime is 3140021444429. The reversal of 3140021444400 is 44441200413.

3140021444400 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 0 + 214 + 4 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 436110490 + ... + 436117689.

Almost surely, 23140021444400 is an apocalyptic number.

3140021444400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3140021444400 is an abundant number, since it is smaller than the sum of its proper divisors (7756725208340).

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

3140021444400 is a wasteful number, since it uses less digits than its factorization.

3140021444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872228203 (or 872228189 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 3140021444400 its reverse (44441200413), we get a palindrome (3184462644813).

The spelling of 3140021444400 in words is "three trillion, one hundred forty billion, twenty-one million, four hundred forty-four thousand, four hundred".

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 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 872228179 1744456358 2616684537 3488912716 4361140895 5233369074 6977825432 7850053611 8722281790 10466738148 13083422685 13955650864 15700107222 17444563580 20933476296 21805704475 26166845370 31400214444 34889127160 39250268055 41866952592 43611408950 52333690740 62800428888 65417113425 69778254320 78500536110 87222817900 104667381480 125600857776 130834226850 157001072220 174445635800 196251340275 209334762960 261668453700 314002144440 348891271600 392502680550 523336907400 628004288880 785005361100 1046673814800 1570010722200 3140021444400