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21143405140 = 225111311365423
BaseRepresentation
bin10011101100001111…
…101100001001010100
32000120112001021020021
4103230033230021110
5321300202431030
613414012314524
71345644656404
oct235417541124
960515037207
1021143405140
118a6a9a0250
124120a72a44
131cbc545020
1410480c2804
1583b32797a
hex4ec3ec254

21143405140 has 96 divisors (see below), whose sum is σ = 52626018816. Its totient is φ = 7034173440.

The previous prime is 21143405131. The next prime is 21143405149. The reversal of 21143405140 is 4150434112.

It is an interprime number because it is at equal distance from previous prime (21143405131) and next prime (21143405149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21143405149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290469 + ... + 355891.

It is an arithmetic number, because the mean of its divisors is an integer number (548187696).

Almost surely, 221143405140 is an apocalyptic number.

21143405140 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 21143405140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26313009408).

21143405140 is an abundant number, since it is smaller than the sum of its proper divisors (31482613676).

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

21143405140 is a wasteful number, since it uses less digits than its factorization.

21143405140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65569 (or 65567 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 21143405140 its reverse (4150434112), we get a palindrome (25293839252).

The spelling of 21143405140 in words is "twenty-one billion, one hundred forty-three million, four hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 113 130 143 220 226 260 286 452 565 572 715 1130 1243 1430 1469 2260 2486 2860 2938 4972 5876 6215 7345 12430 14690 16159 24860 29380 32318 64636 65423 80795 130846 161590 261692 323180 327115 654230 719653 850499 1308460 1439306 1700998 2878612 3401996 3598265 4252495 7196530 7392799 8504990 9355489 14393060 14785598 17009980 18710978 29571196 36963995 37421956 46777445 73927990 81320789 93554890 96106387 147855980 162641578 187109780 192212774 325283156 384425548 406603945 480531935 813207890 961063870 1057170257 1626415780 1922127740 2114340514 4228681028 5285851285 10571702570 21143405140