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21107414240 = 2551124723197
BaseRepresentation
bin10011101010000110…
…011001010011100000
32000111000022201222222
4103222012121103200
5321211444223430
613410245050212
71345030026563
oct235206312340
960430281888
1021107414240
118a51648800
1241109b6968
131cb4c53233
1410433d44da
158380b89e5
hex4ea1994e0

21107414240 has 144 divisors (see below), whose sum is σ = 55980300096. Its totient is φ = 7511792640.

The previous prime is 21107414131. The next prime is 21107414267. The reversal of 21107414240 is 4241470112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 898322 + ... + 921518.

It is an arithmetic number, because the mean of its divisors is an integer number (388752084).

Almost surely, 221107414240 is an apocalyptic number.

21107414240 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 21107414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27990150048).

21107414240 is an abundant number, since it is smaller than the sum of its proper divisors (34872885856).

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

21107414240 is a wasteful number, since it uses less digits than its factorization.

21107414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23281 (or 23262 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

Adding to 21107414240 its reverse (4241470112), we get a palindrome (25348884352).

The spelling of 21107414240 in words is "twenty-one billion, one hundred seven million, four hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 80 88 94 110 121 160 176 188 220 235 242 352 376 440 470 484 517 605 752 880 940 968 1034 1210 1504 1760 1880 1936 2068 2420 2585 3760 3872 4136 4840 5170 5687 7520 8272 9680 10340 11374 16544 19360 20680 22748 23197 28435 41360 45496 46394 56870 82720 90992 92788 113740 115985 181984 185576 227480 231970 255167 371152 454960 463940 510334 742304 909920 927880 1020668 1090259 1275835 1855760 2041336 2180518 2551670 2806837 3711520 4082672 4361036 5103340 5451295 5613674 8165344 8722072 10206680 10902590 11227348 11992849 14034185 17444144 20413360 21805180 22454696 23985698 28068370 34888288 40826720 43610360 44909392 47971396 56136740 59964245 87220720 89818784 95942792 112273480 119928490 131921339 174441440 191885584 224546960 239856980 263842678 383771168 449093920 479713960 527685356 659606695 959427920 1055370712 1319213390 1918855840 2110741424 2638426780 4221482848 5276853560 10553707120 21107414240