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2001314201400 = 233352370613741
BaseRepresentation
bin11101000111110111100…
…111110011111100111000
321002022202000202012101000
4131013313213303330320
5230242142413421100
64131220244525000
7264406301014023
oct35076747637470
97068660665330
102001314201400
11701830768848
12283a500b0760
13116952902337
146cc1522a1ba
15370d3575900
hex1d1f79f3f38

2001314201400 has 96 divisors (see below), whose sum is σ = 6893415601200. Its totient is φ = 533683785600.

The previous prime is 2001314201357. The next prime is 2001314201431. The reversal of 2001314201400 is 41024131002.

2001314201400 is a `hidden beast` number, since 200 + 1 + 3 + 1 + 420 + 1 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185301471 + ... + 185312270.

Almost surely, 22001314201400 is an apocalyptic number.

2001314201400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001314201400 is an abundant number, since it is smaller than the sum of its proper divisors (4892101399800).

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

2001314201400 is a wasteful number, since it uses less digits than its factorization.

2001314201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370613766 (or 370613751 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2001314201400 its reverse (41024131002), we get a palindrome (2042338332402).

The spelling of 2001314201400 in words is "two trillion, one billion, three hundred fourteen million, two hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 370613741 741227482 1111841223 1482454964 1853068705 2223682446 2964909928 3335523669 3706137410 4447364892 5559206115 6671047338 7412274820 8894729784 9265343525 10006571007 11118412230 13342094676 14824549640 16677618345 18530687050 20013142014 22236824460 26684189352 27796030575 33355236690 37061374100 40026284028 44473648920 50032855035 55592061150 66710473380 74122748200 80052568056 83388091725 100065710070 111184122300 133420946760 166776183450 200131420140 222368244600 250164275175 333552366900 400262840280 500328550350 667104733800 1000657100700 2001314201400