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2141231132400 = 243524737965091
BaseRepresentation
bin11111001010001011010…
…100100010111011110000
321120200220002010201212120
4133022023110202323300
5240040220132214100
64315400142154240
7310461463215453
oct37121324427360
97520802121776
102141231132400
11756100174a18
122a6b99b82980
13126bc01cb079
14758c97d349a
153aa71d390a0
hex1f28b522ef0

2141231132400 has 120 divisors (see below), whose sum is σ = 7005015055104. Its totient is φ = 558846124800.

The previous prime is 2141231132399. The next prime is 2141231132423. The reversal of 2141231132400 is 42311321412.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 18926146 + ... + 19038945.

Almost surely, 22141231132400 is an apocalyptic number.

2141231132400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141231132400 is an abundant number, since it is smaller than the sum of its proper divisors (4863783922704).

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

2141231132400 is a wasteful number, since it uses less digits than its factorization.

2141231132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37965159 (or 37965148 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2141231132400 its reverse (42311321412), we get a palindrome (2183542453812).

The spelling of 2141231132400 in words is "two trillion, one hundred forty-one billion, two hundred thirty-one million, one hundred thirty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 47 48 50 60 75 80 94 100 120 141 150 188 200 235 240 282 300 376 400 470 564 600 705 752 940 1128 1175 1200 1410 1880 2256 2350 2820 3525 3760 4700 5640 7050 9400 11280 14100 18800 28200 56400 37965091 75930182 113895273 151860364 189825455 227790546 303720728 379650910 455581092 569476365 607441456 759301820 911162184 949127275 1138952730 1518603640 1784359277 1822324368 1898254550 2277905460 2847381825 3037207280 3568718554 3796509100 4555810920 5353077831 5694763650 7137437108 7593018200 8921796385 9111621840 10706155662 11389527300 14274874216 15186036400 17843592770 21412311324 22779054600 26765389155 28549748432 35687185540 42824622648 44608981925 45558109200 53530778310 71374371080 85649245296 89217963850 107061556620 133826945775 142748742160 178435927700 214123113240 267653891550 356871855400 428246226480 535307783100 713743710800 1070615566200 2141231132400