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21441124133200 = 2452232330556971
BaseRepresentation
bin1001110000000001001101…
…00101100110100101010000
32210220202021210202201111001
410320000212211212211100
510302242410234230300
6113333525541431344
74342033021031002
oct470004645464520
983822253681431
1021441124133200
116917147671272
1224a352510b554
13bc6b73b20625
14541a82456372
15272aed52e16a
hex138026966950

21441124133200 has 60 divisors (see below), whose sum is σ = 53751966002208. Its totient is φ = 8203560534400.

The previous prime is 21441124133161. The next prime is 21441124133201. The reversal of 21441124133200 is 233142114412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21441124133201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1165269286 + ... + 1165287685.

Almost surely, 221441124133200 is an apocalyptic number.

21441124133200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21441124133200 is an abundant number, since it is smaller than the sum of its proper divisors (32310841869008).

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

21441124133200 is a wasteful number, since it uses less digits than its factorization.

21441124133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330557012 (or 2330557001 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 21441124133200 its reverse (233142114412), we get a palindrome (21674266247612).

The spelling of 21441124133200 in words is "twenty-one trillion, four hundred forty-one billion, one hundred twenty-four million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 2330556971 4661113942 9322227884 11652784855 18644455768 23305569710 37288911536 46611139420 53602810333 58263924275 93222278840 107205620666 116527848550 186444557680 214411241332 233055697100 268014051665 428822482664 466111394200 536028103330 857644965328 932222788400 1072056206660 1340070258325 2144112413320 2680140516650 4288224826640 5360281033300 10720562066600 21441124133200