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21142403440 = 245793345317
BaseRepresentation
bin10011101100001011…
…110111100101110000
32000120110011101011021
4103230023313211300
5321244423402230
613413535025224
71345633315114
oct235413674560
960513141137
1021142403440
118a6a3766a4
12412066b214
131cbc2840c2
141047d01744
1583b1cac7a
hex4ec2f7970

21142403440 has 40 divisors (see below), whose sum is σ = 49778331840. Its totient is φ = 8349908736.

The previous prime is 21142403431. The next prime is 21142403449. The reversal of 21142403440 is 4430424112.

It is an interprime number because it is at equal distance from previous prime (21142403431) and next prime (21142403449).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21142403449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1666339 + ... + 1678978.

It is an arithmetic number, because the mean of its divisors is an integer number (1244458296).

Almost surely, 221142403440 is an apocalyptic number.

21142403440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21142403440 is an abundant number, since it is smaller than the sum of its proper divisors (28635928400).

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

21142403440 is a wasteful number, since it uses less digits than its factorization.

21142403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345409 (or 3345403 counting only the distinct ones).

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

Adding to 21142403440 its reverse (4430424112), we get a palindrome (25572827552).

The spelling of 21142403440 in words is "twenty-one billion, one hundred forty-two million, four hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 3160 6320 3345317 6690634 13381268 16726585 26762536 33453170 53525072 66906340 133812680 264280043 267625360 528560086 1057120172 1321400215 2114240344 2642800430 4228480688 5285600860 10571201720 21142403440