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14425151440 = 2457175692663
BaseRepresentation
bin11010110111100111…
…00101011111010000
31101020022110121201011
431123303211133100
5214020314321230
610343221020304
71020316523050
oct153363453720
941208417634
1014425151440
116132692867
122966b54694
13148b71858b
149abb47560
15596613e2a
hex35bce57d0

14425151440 has 160 divisors (see below), whose sum is σ = 40670968320. Its totient is φ = 4644913152.

The previous prime is 14425151407. The next prime is 14425151459. The reversal of 14425151440 is 4415152441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5415549 + ... + 5418211.

It is an arithmetic number, because the mean of its divisors is an integer number (254193552).

Almost surely, 214425151440 is an apocalyptic number.

14425151440 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 14425151440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20335484160).

14425151440 is an abundant number, since it is smaller than the sum of its proper divisors (26245816880).

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

14425151440 is a wasteful number, since it uses less digits than its factorization.

14425151440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The spelling of 14425151440 in words is "fourteen billion, four hundred twenty-five million, one hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 569 595 680 952 1138 1190 1360 1904 2276 2380 2663 2845 3983 4552 4760 5326 5690 7966 9104 9520 9673 10652 11380 13315 15932 18641 19346 19915 21304 22760 26630 31864 37282 38692 39830 42608 45271 45520 48365 53260 63728 67711 74564 77384 79660 90542 93205 96730 106520 135422 149128 154768 159320 181084 186410 193460 213040 226355 270844 298256 316897 318640 338555 362168 372820 386920 452710 541688 633794 677110 724336 745640 773840 905420 1083376 1267588 1354220 1491280 1515247 1584485 1810840 2535176 2708440 3030494 3168970 3621680 5070352 5416880 6060988 6337940 7576235 10606729 12121976 12675880 15152470 21213458 24243952 25351760 25759199 30304940 42426916 51518398 53033645 60609880 84853832 103036796 106067290 121219760 128795995 169707664 180314393 206073592 212134580 257591990 360628786 412147184 424269160 515183980 721257572 848538320 901571965 1030367960 1442515144 1803143930 2060735920 2885030288 3606287860 7212575720 14425151440