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21441202400 = 2552171576559
BaseRepresentation
bin10011111101111111…
…101100100011100000
32001100021101221021102
4103331333230203200
5322402421434100
613503331213532
71356222133112
oct237577544340
961307357242
1021441202400
119102aaa792
1241a47472a8
132039151317
1410758813b2
1585754dcd5
hex4fdfec8e0

21441202400 has 72 divisors (see below), whose sum is σ = 55422390240. Its totient is φ = 8071976960.

The previous prime is 21441202361. The next prime is 21441202481. The reversal of 21441202400 is 420214412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 774680 + ... + 801879.

It is an arithmetic number, because the mean of its divisors is an integer number (769755420).

Almost surely, 221441202400 is an apocalyptic number.

21441202400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21441202400 is an abundant number, since it is smaller than the sum of its proper divisors (33981187840).

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

21441202400 is a wasteful number, since it uses less digits than its factorization.

21441202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576596 (or 1576583 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 21441202400 its reverse (420214412), we get a palindrome (21861416812).

The spelling of 21441202400 in words is "twenty-one billion, four hundred forty-one million, two hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 1360 1700 2720 3400 6800 13600 1576559 3153118 6306236 7882795 12612472 15765590 25224944 26801503 31531180 39413975 50449888 53603006 63062360 78827950 107206012 126124720 134007515 157655900 214412024 252249440 268015030 315311800 428824048 536030060 630623600 670037575 857648096 1072060120 1261247200 1340075150 2144120240 2680150300 4288240480 5360300600 10720601200 21441202400