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21420411041400 = 2335275100097867
BaseRepresentation
bin1001101111011010100111…
…11111011011011001111000
32210211202211021102122011220
410313231103333123121320
510301423000211311100
6113320222340152040
74340400516455160
oct467552377333170
983752737378156
1021420411041400
116909388670888
12249b504398620
13bc4c227a16a7
14540a795895a0
152722d9da6aa0
hex137b53fdb678

21420411041400 has 96 divisors (see below), whose sum is σ = 75889456275840. Its totient is φ = 4896093951360.

The previous prime is 21420411041383. The next prime is 21420411041437. The reversal of 21420411041400 is 414011402412.

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2550044734 + ... + 2550053133.

It is an arithmetic number, because the mean of its divisors is an integer number (790515169540).

Almost surely, 221420411041400 is an apocalyptic number.

21420411041400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21420411041400 is an abundant number, since it is smaller than the sum of its proper divisors (54469045234440).

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

21420411041400 is a wasteful number, since it uses less digits than its factorization.

21420411041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100097893 (or 5100097884 counting only the distinct ones).

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

Adding to 21420411041400 its reverse (414011402412), we get a palindrome (21834422443812).

The spelling of 21420411041400 in words is "twenty-one trillion, four hundred twenty billion, four hundred eleven million, forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 5100097867 10200195734 15300293601 20400391468 25500489335 30600587202 35700685069 40800782936 51000978670 61201174404 71401370138 76501468005 102001957340 107102055207 122402348808 127502446675 142802740276 153002936010 178503425345 204003914680 214204110414 255004893350 285605480552 306005872020 357006850690 382507340025 428408220828 510009786700 535510276035 612011744040 714013701380 765014680050 856816441656 892517126725 1020019573400 1071020552070 1428027402760 1530029360100 1785034253450 2142041104140 2677551380175 3060058720200 3570068506900 4284082208280 5355102760350 7140137013800 10710205520700 21420411041400