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21441234212400 = 2435230139592843
BaseRepresentation
bin1001110000000001011010…
…01001100001011000110000
32210220202120110220022202110
410320000231021201120300
510302243121424244100
6113333544513045320
74342035525502422
oct470005511413060
983822513808673
1021441234212400
1169171a3817412
1224a3555b56840
13bc6b90882a52
14541a92d0c812
15272b08025250
hex13802d261630

21441234212400 has 120 divisors (see below), whose sum is σ = 68685815007040. Its totient is φ = 5717463102720.

The previous prime is 21441234212383. The next prime is 21441234212407. The reversal of 21441234212400 is 421243214412.

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 (30).

It is not an unprimeable number, because it can be changed into a prime (21441234212407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35870379 + ... + 36463221.

Almost surely, 221441234212400 is an apocalyptic number.

21441234212400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21441234212400 is an abundant number, since it is smaller than the sum of its proper divisors (47244580794640).

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

21441234212400 is a wasteful number, since it uses less digits than its factorization.

21441234212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623003 (or 622992 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 21441234212400 its reverse (421243214412), we get a palindrome (21862477426812).

The spelling of 21441234212400 in words is "twenty-one trillion, four hundred forty-one billion, two hundred thirty-four million, two hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 30139 60278 90417 120556 150695 180834 241112 301390 361668 452085 482224 592843 602780 723336 753475 904170 1185686 1205560 1446672 1506950 1778529 1808340 2260425 2371372 2411120 2964215 3013900 3557058 3616680 4520850 4742744 5928430 6027800 7114116 7233360 8892645 9041700 9485488 11856860 12055600 14228232 14821075 17785290 18083400 23713720 28456464 29642150 35570580 36166800 44463225 47427440 59284300 71141160 88926450 118568600 142282320 177852900 237137200 355705800 711411600 17867695177 35735390354 53603085531 71470780708 89338475885 107206171062 142941561416 178676951770 214412342124 268015427655 285883122832 357353903540 428824684248 446692379425 536030855310 714707807080 857649368496 893384758850 1072061710620 1340077138275 1429415614160 1786769517700 2144123421240 2680154276550 3573539035400 4288246842480 5360308553100 7147078070800 10720617106200 21441234212400