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214323105103040 = 2651087616154281
BaseRepresentation
bin110000101110110011111100…
…100010111111110011000000
31001002212002101200210212221002
4300232303330202333303000
5211042432204401244130
62035454401504151132
763100222225025213
oct6056637442776300
91032762350725832
10214323105103040
1162320a1149110a
12200553063084a8
139278774b1001b
143acd417a4177a
1519ba080cbcb45
hexc2ecfc8bfcc0

214323105103040 has 56 divisors (see below), whose sum is σ = 510826404417792. Its totient is φ = 85650374154240.

The previous prime is 214323105102959. The next prime is 214323105103043. The reversal of 214323105103040 is 40301501323412.

It is a junction number, because it is equal to n+sod(n) for n = 214323105102994 and 214323105103012.

It is not an unprimeable number, because it can be changed into a prime (214323105103043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307729301 + ... + 308424980.

Almost surely, 2214323105103040 is an apocalyptic number.

214323105103040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214323105103040 is an abundant number, since it is smaller than the sum of its proper divisors (296503299314752).

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

214323105103040 is a wasteful number, since it uses less digits than its factorization.

214323105103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616155385 (or 616155375 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 214323105103040 its reverse (40301501323412), we get a palindrome (254624606426452).

The spelling of 214323105103040 in words is "two hundred fourteen trillion, three hundred twenty-three billion, one hundred five million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1087 2174 4348 5435 8696 10870 17392 21740 34784 43480 69568 86960 173920 347840 616154281 1232308562 2464617124 3080771405 4929234248 6161542810 9858468496 12323085620 19716936992 24646171240 39433873984 49292342480 98584684960 197169369920 669759703447 1339519406894 2679038813788 3348798517235 5358077627576 6697597034470 10716155255152 13395194068940 21432310510304 26790388137880 42864621020608 53580776275760 107161552551520 214323105103040