Search a number
-
+
221412553026140 = 22577146027483953
BaseRepresentation
bin110010010101111110100000…
…100100100110101001011100
31002000221211111111211011022002
4302111332200210212221130
5213010110402033314030
62102523304521141432
764431346320060350
oct6225764044465134
91060854444734262
10221412553026140
1164604599a73a43
12209bb2a002a878
139671163a70ca8
143c965d3705460
151a8e6ae145245
hexc95fa0926a5c

221412553026140 has 96 divisors (see below), whose sum is σ = 538887316552704. Its totient is φ = 74841899166720.

The previous prime is 221412553026031. The next prime is 221412553026163. The reversal of 221412553026140 is 41620355214122.

It is a junction number, because it is equal to n+sod(n) for n = 221412553026094 and 221412553026103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457266404 + ... + 457750356.

It is an arithmetic number, because the mean of its divisors is an integer number (5613409547424).

Almost surely, 2221412553026140 is an apocalyptic number.

221412553026140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221412553026140 is an abundant number, since it is smaller than the sum of its proper divisors (317474763526564).

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

221412553026140 is a wasteful number, since it uses less digits than its factorization.

221412553026140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530067 (or 530065 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 221412553026140 in words is "two hundred twenty-one trillion, four hundred twelve billion, five hundred fifty-three million, twenty-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1420 1988 2485 4970 9940 46027 92054 184108 230135 322189 460270 483953 644378 920540 967906 1288756 1610945 1935812 2419765 3221890 3267917 3387671 4839530 6443780 6535834 6775342 9679060 13071668 13550684 16339585 16938355 22875419 32679170 33876710 34360663 45750838 65358340 67753420 68721326 91501676 114377095 137442652 171803315 228754190 240524641 343606630 457508380 481049282 687213260 962098564 1202623205 2405246410 4810492820 22274904731 44549809462 89099618924 111374523655 155924333117 222749047310 311848666234 445498094620 623697332468 779621665585 1559243331170 1581518235901 3118486662340 3163036471802 6326072943604 7907591179505 11070627651307 15815182359010 22141255302614 31630364718020 44282510605228 55353138256535 110706276513070 221412553026140