Search a number
-
+
20411421140 = 22511314172997
BaseRepresentation
bin10011000000100111…
…011001000111010100
31221200111200121221202
4103000213121013110
5313300310434030
613213223332032
71321546134305
oct230047310724
957614617852
1020411421140
1187247958a0
123b578b1018
131c039b78b6
14db8bc07ac
157e6e38745
hex4c09d91d4

20411421140 has 96 divisors (see below), whose sum is σ = 49447093248. Its totient is φ = 7007616000.

The previous prime is 20411421133. The next prime is 20411421167. The reversal of 20411421140 is 4112411402.

It is a super-2 number, since 2×204114211402 (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 31 ways as a sum of consecutive naturals, for example, 243122 + ... + 316118.

It is an arithmetic number, because the mean of its divisors is an integer number (515073888).

Almost surely, 220411421140 is an apocalyptic number.

20411421140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20411421140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24723546624).

20411421140 is an abundant number, since it is smaller than the sum of its proper divisors (29035672108).

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

20411421140 is a wasteful number, since it uses less digits than its factorization.

20411421140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73089 (or 73087 counting only the distinct ones).

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

Adding to 20411421140 its reverse (4112411402), we get a palindrome (24523832542).

The spelling of 20411421140 in words is "twenty billion, four hundred eleven million, four hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 41 44 55 62 82 110 124 155 164 205 220 310 341 410 451 620 682 820 902 1271 1364 1705 1804 2255 2542 3410 4510 5084 6355 6820 9020 12710 13981 25420 27962 55924 69905 72997 139810 145994 279620 291988 364985 729970 802967 1459940 1605934 2262907 2992877 3211868 4014835 4525814 5985754 8029670 9051628 11314535 11971508 14964385 16059340 22629070 24891977 29928770 32921647 45258140 49783954 59857540 65843294 92779187 99567908 124459885 131686588 164608235 185558374 248919770 329216470 371116748 463895935 497839540 658432940 927791870 1020571057 1855583740 2041142114 4082284228 5102855285 10205710570 20411421140