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21341044000 = 255319932677
BaseRepresentation
bin10011111000000001…
…100111110100100000
32001002021221100210001
4103320001213310200
5322201301402000
613445352345344
71353564611113
oct237001476440
961067840701
1021341044000
119061510251
1241770a5254
1320214836b3
14106644c57a
1584d86746a
hex4f8067d20

21341044000 has 96 divisors (see below), whose sum is σ = 52480851696. Its totient is φ = 8528947200.

The previous prime is 21341043953. The next prime is 21341044003. The reversal of 21341044000 is 44014312.

It can be written as a sum of positive squares in 8 ways, for example, as 12194064 + 21328849936 = 3492^2 + 146044^2 .

It is not an unprimeable number, because it can be changed into a prime (21341044003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7970662 + ... + 7973338.

Almost surely, 221341044000 is an apocalyptic number.

21341044000 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 21341044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26240425848).

21341044000 is an abundant number, since it is smaller than the sum of its proper divisors (31139807696).

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

21341044000 is a wasteful number, since it uses less digits than its factorization.

21341044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 21341044000 its reverse (44014312), we get a palindrome (21385058312).

The spelling of 21341044000 in words is "twenty-one billion, three hundred forty-one million, forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1993 2000 2677 3986 4000 5354 7972 9965 10708 13385 15944 19930 21416 26770 31888 39860 42832 49825 53540 63776 66925 79720 85664 99650 107080 133850 159440 199300 214160 249125 267700 318880 334625 398600 428320 498250 535400 669250 797200 996500 1070800 1338500 1594400 1993000 2141600 2677000 3986000 5335261 5354000 7972000 10670522 10708000 21341044 26676305 42682088 53352610 85364176 106705220 133381525 170728352 213410440 266763050 426820880 533526100 666907625 853641760 1067052200 1333815250 2134104400 2667630500 4268208800 5335261000 10670522000 21341044000