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13814854224 = 2434113751239
BaseRepresentation
bin11001101110110110…
…11111001001010000
31022122210002022022120
430313123133021100
5211243100313344
610202500134240
7666226215633
oct146733371120
938583068276
1013814854224
11594a1414a6
122816697380
1313c2155a72
14950a7dc1a
1555cc60219
hex3376df250

13814854224 has 80 divisors (see below), whose sum is σ = 36826392960. Its totient is φ = 4459755520.

The previous prime is 13814854223. The next prime is 13814854309. The reversal of 13814854224 is 42245841831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13814854223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243997 + ... + 295235.

It is an arithmetic number, because the mean of its divisors is an integer number (460329912).

Almost surely, 213814854224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13814854224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18413196480).

13814854224 is an abundant number, since it is smaller than the sum of its proper divisors (23011538736).

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

13814854224 is a wasteful number, since it uses less digits than its factorization.

13814854224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51428 (or 51422 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The spelling of 13814854224 in words is "thirteen billion, eight hundred fourteen million, eight hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 137 164 246 274 328 411 492 548 656 822 984 1096 1644 1968 2192 3288 5617 6576 11234 16851 22468 33702 44936 51239 67404 89872 102478 134808 153717 204956 269616 307434 409912 614868 819824 1229736 2100799 2459472 4201598 6302397 7019743 8403196 12604794 14039486 16806392 21059229 25209588 28078972 33612784 42118458 50419176 56157944 84236916 100838352 112315888 168473832 287809463 336947664 575618926 863428389 1151237852 1726856778 2302475704 3453713556 4604951408 6907427112 13814854224