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21141020240 = 245416445433
BaseRepresentation
bin10011101100000110…
…100101111001010000
32000120100120002202122
4103230012211321100
5321244100121430
613413445233412
71345615464344
oct235406457120
960510502678
1021141020240
118a6961145a
124120102868
131cbbbbb642
141047a61624
1583b005ee5
hex4ec1a5e50

21141020240 has 40 divisors (see below), whose sum is σ = 50351730408. Its totient is φ = 8250152960.

The previous prime is 21141020237. The next prime is 21141020249. The reversal of 21141020240 is 4202014112.

It can be written as a sum of positive squares in 4 ways, for example, as 35904064 + 21105116176 = 5992^2 + 145276^2 .

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

It is a super-3 number, since 3×211410202403 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21141020249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3219437 + ... + 3225996.

Almost surely, 221141020240 is an apocalyptic number.

21141020240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21141020240 is an abundant number, since it is smaller than the sum of its proper divisors (29210710168).

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

21141020240 is a wasteful number, since it uses less digits than its factorization.

21141020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6445487 (or 6445481 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21141020240 its reverse (4202014112), we get a palindrome (25343034352).

The spelling of 21141020240 in words is "twenty-one billion, one hundred forty-one million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 6445433 12890866 25781732 32227165 51563464 64454330 103126928 128908660 257817320 264262753 515634640 528525506 1057051012 1321313765 2114102024 2642627530 4228204048 5285255060 10570510120 21141020240