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21404401000 = 2353151229619
BaseRepresentation
bin10011111011110011…
…010011110101101000
32001020201011020020121
4103323303103311220
5322314011313000
613455534333024
71355264256313
oct237363236550
961221136217
1021404401000
119094254304
12419435a174
132031637648
141070a2197a
158541ceb1a
hex4fbcd3d68

21404401000 has 128 divisors (see below), whose sum is σ = 50719968000. Its totient is φ = 8454240000.

The previous prime is 21404400977. The next prime is 21404401043. The reversal of 21404401000 is 10440412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34578691 + ... + 34579309.

It is an arithmetic number, because the mean of its divisors is an integer number (396249750).

Almost surely, 221404401000 is an apocalyptic number.

21404401000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21404401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25359984000).

21404401000 is an abundant number, since it is smaller than the sum of its proper divisors (29315567000).

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

21404401000 is a wasteful number, since it uses less digits than its factorization.

21404401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21404401000 its reverse (10440412), we get a palindrome (21414841412).

The spelling of 21404401000 in words is "twenty-one billion, four hundred four million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 151 200 229 250 302 458 500 604 619 755 916 1000 1145 1208 1238 1510 1832 2290 2476 3020 3095 3775 4580 4952 5725 6040 6190 7550 9160 11450 12380 15100 15475 18875 22900 24760 28625 30200 30950 34579 37750 45800 57250 61900 69158 75500 77375 93469 114500 123800 138316 141751 151000 154750 172895 186938 229000 276632 283502 309500 345790 373876 467345 567004 619000 691580 708755 747752 864475 934690 1134008 1383160 1417510 1728950 1869380 2336725 2835020 3457900 3543775 3738760 4322375 4673450 5670040 6915800 7087550 8644750 9346900 11683625 14175100 17289500 17718875 18693800 21404401 23367250 28350200 34579000 35437750 42808802 46734500 70875500 85617604 93469000 107022005 141751000 171235208 214044010 428088020 535110025 856176040 1070220050 2140440100 2675550125 4280880200 5351100250 10702200500 21404401000