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14076830720 = 210512772153
BaseRepresentation
bin11010001110000101…
…10110010000000000
31100100001001002111202
431013002312100000
5212312132040340
610244455200332
71005560041541
oct150702662000
940301032452
1014076830720
115a740052a7
12288a3760a8
1314344cc844
149777964c8
15575c5cc15
hex3470b6400

14076830720 has 88 divisors (see below), whose sum is σ = 33810036984. Its totient is φ = 5623709696.

The previous prime is 14076830689. The next prime is 14076830731. The reversal of 14076830720 is 2703867041.

It can be written as a sum of positive squares in 4 ways, for example, as 299705344 + 13777125376 = 17312^2 + 117376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6537164 + ... + 6539316.

Almost surely, 214076830720 is an apocalyptic number.

14076830720 is a gapful number since it is divisible by the number (10) 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 14076830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16905018492).

14076830720 is an abundant number, since it is smaller than the sum of its proper divisors (19733206264).

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

14076830720 is a wasteful number, since it uses less digits than its factorization.

14076830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3455 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 14076830720 in words is "fourteen billion, seventy-six million, eight hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1277 1280 2153 2554 2560 4306 5108 5120 6385 8612 10216 10765 12770 17224 20432 21530 25540 34448 40864 43060 51080 68896 81728 86120 102160 137792 163456 172240 204320 275584 326912 344480 408640 551168 653824 688960 817280 1102336 1307648 1377920 1634560 2204672 2749381 2755840 3269120 5498762 5511680 6538240 10997524 11023360 13746905 21995048 27493810 43990096 54987620 87980192 109975240 175960384 219950480 351920768 439900960 703841536 879801920 1407683072 1759603840 2815366144 3519207680 7038415360 14076830720