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14004514350 = 23252591733049
BaseRepresentation
bin11010000101011101…
…11110111000101110
31100010222222001002200
431002232332320232
5212140123424400
610233353202330
71004021256621
oct150256767056
940128861080
1014004514350
115a37201a02
12286a1003a6
13142252c8a8
1496bd2ddb8
1556e725b00
hex342bbee2e

14004514350 has 144 divisors (see below), whose sum is σ = 38496978000. Its totient is φ = 3648821760.

The previous prime is 14004514343. The next prime is 14004514373. The reversal of 14004514350 is 5341540041.

It is a happy number.

14004514350 is a `hidden beast` number, since 140 + 0 + 4 + 514 + 3 + 5 + 0 = 666.

It is a super-2 number, since 2×140045143502 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4591626 + ... + 4594674.

It is an arithmetic number, because the mean of its divisors is an integer number (267340125).

Almost surely, 214004514350 is an apocalyptic number.

14004514350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14004514350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19248489000).

14004514350 is an abundant number, since it is smaller than the sum of its proper divisors (24492463650).

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

14004514350 is a wasteful number, since it uses less digits than its factorization.

14004514350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 14004514350 in words is "fourteen billion, four million, five hundred fourteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 59 75 90 118 150 173 177 225 295 346 354 450 519 531 590 865 885 1038 1062 1475 1557 1730 1770 2595 2655 2950 3049 3114 4325 4425 5190 5310 6098 7785 8650 8850 9147 10207 12975 13275 15245 15570 18294 20414 25950 26550 27441 30490 30621 38925 45735 51035 54882 61242 76225 77850 91470 91863 102070 137205 152450 153105 179891 183726 228675 255175 274410 306210 359782 457350 459315 510350 527477 539673 686025 765525 899455 918630 1054954 1079346 1372050 1531050 1582431 1619019 1798910 2296575 2637385 2698365 3164862 3238038 4497275 4593150 4747293 5274770 5396730 7912155 8095095 8994550 9494586 13186925 13491825 15824310 16190190 23736465 26373850 26983650 31121143 39560775 40475475 47472930 62242286 79121550 80950950 93363429 118682325 155605715 186726858 237364650 280090287 311211430 466817145 560180574 778028575 933634290 1400451435 1556057150 2334085725 2800902870 4668171450 7002257175 14004514350