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1211414442000 = 24353728843201
BaseRepresentation
bin10001101000001101111…
…011010111000000010000
311021210212112222211202120
4101220031323113000100
5124321434044121000
62324303251414240
7153343656600420
oct21501573270020
94253775884676
101211414442000
11427837964334
121769442b4380
138a30b33c2b9
14428c047c480
15217a1d426a0
hex11a0ded7010

1211414442000 has 160 divisors (see below), whose sum is σ = 4463543195904. Its totient is φ = 276894720000.

The previous prime is 1211414441999. The next prime is 1211414442023. The reversal of 1211414442000 is 2444141121.

It is a super-3 number, since 3×12114144420003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14379601 + ... + 14463600.

Almost surely, 21211414442000 is an apocalyptic number.

1211414442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211414442000 is an abundant number, since it is smaller than the sum of its proper divisors (3252128753904).

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

1211414442000 is a wasteful number, since it uses less digits than its factorization.

1211414442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28843234 (or 28843218 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1211414442000 its reverse (2444141121), we get a palindrome (1213858583121).

The spelling of 1211414442000 in words is "one trillion, two hundred eleven billion, four hundred fourteen million, four hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 28843201 57686402 86529603 115372804 144216005 173059206 201902407 230745608 288432010 346118412 403804814 432648015 461491216 576864020 605707221 692236824 721080025 807609628 865296030 1009512035 1153728040 1211414442 1384473648 1442160050 1615219256 1730592060 2019024070 2163240075 2307456080 2422828884 2884320100 3028536105 3230438512 3461184120 3605400125 4038048140 4326480150 4845657768 5047560175 5768640200 6057072210 6922368240 7210800250 8076096280 8652960300 9691315536 10095120350 10816200375 11537280400 12114144420 14421600500 15142680525 16152192560 17305920600 20190240700 21632400750 24228288840 25237800875 28843201000 30285361050 34611841200 40380481400 43264801500 48456577680 50475601750 57686402000 60570722100 75713402625 80760962800 86529603000 100951203500 121141444200 151426805250 173059206000 201902407000 242282888400 302853610500 403804814000 605707221000 1211414442000