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21141241040 = 245809326657
BaseRepresentation
bin10011101100000111…
…011011110011010000
32000120100222022122102
4103230013123303100
5321244124203130
613413454055532
71345620404153
oct235407336320
960510868572
1021141241040
118a69752337
1241201aa5a8
131cbbc67caa
141047abbc9a
1583b04b645
hex4ec1dbcd0

21141241040 has 40 divisors (see below), whose sum is σ = 49214294280. Its totient is φ = 8446017536.

The previous prime is 21141241031. The next prime is 21141241087. The reversal of 21141241040 is 4014214112.

It can be written as a sum of positive squares in 4 ways, for example, as 4268270224 + 16872970816 = 65332^2 + 129896^2 .

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

It is a super-2 number, since 2×211412410402 (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 98609 + ... + 228048.

It is an arithmetic number, because the mean of its divisors is an integer number (1230357357).

Almost surely, 221141241040 is an apocalyptic number.

21141241040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21141241040 is an abundant number, since it is smaller than the sum of its proper divisors (28073053240).

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

21141241040 is a wasteful number, since it uses less digits than its factorization.

21141241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327479 (or 327473 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21141241040 its reverse (4014214112), we get a palindrome (25155455152).

The spelling of 21141241040 in words is "twenty-one billion, one hundred forty-one million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 809 1618 3236 4045 6472 8090 12944 16180 32360 64720 326657 653314 1306628 1633285 2613256 3266570 5226512 6533140 13066280 26132560 264265513 528531026 1057062052 1321327565 2114124104 2642655130 4228248208 5285310260 10570620520 21141241040