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21301444240 = 245299181657
BaseRepresentation
bin10011110101101010…
…100011111010010000
32000222112102111010021
4103311222203322100
5322111132203430
613441415513224
71352604200656
oct236552437220
960875374107
1021301444240
11904112337a
124165988814
1320161ca09b
1410610a0dd6
1584a14407a
hex4f5aa3e90

21301444240 has 40 divisors (see below), whose sum is σ = 51233651640. Its totient is φ = 8226763776.

The previous prime is 21301444127. The next prime is 21301444291. The reversal of 21301444240 is 4244410312.

21301444240 = T398 + T399 + ... + T5037.

It can be written as a sum of positive squares in 4 ways, for example, as 23970816 + 21277473424 = 4896^2 + 145868^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4588509 + ... + 4593148.

It is an arithmetic number, because the mean of its divisors is an integer number (1280841291).

Almost surely, 221301444240 is an apocalyptic number.

21301444240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21301444240 is an abundant number, since it is smaller than the sum of its proper divisors (29932207400).

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

21301444240 is a wasteful number, since it uses less digits than its factorization.

21301444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9181699 (or 9181693 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 21301444240 its reverse (4244410312), we get a palindrome (25545854552).

The spelling of 21301444240 in words is "twenty-one billion, three hundred one million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 9181657 18363314 36726628 45908285 73453256 91816570 146906512 183633140 266268053 367266280 532536106 734532560 1065072212 1331340265 2130144424 2662680530 4260288848 5325361060 10650722120 21301444240