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14325435040 = 25573729343
BaseRepresentation
bin11010101011101110…
…01100101010100000
31100222100211111112011
431111313030222200
5213314302410130
610325255442304
71014666121510
oct152567145240
940870744464
1014325435040
116091375414
122939686394
131473b73ba7
1499c7cb840
1558c9b852a
hex355dccaa0

14325435040 has 144 divisors (see below), whose sum is σ = 39756552192. Its totient is φ = 4778320896.

The previous prime is 14325435029. The next prime is 14325435071. The reversal of 14325435040 is 4053452341.

14325435040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14325434993 and 14325435011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1528609 + ... + 1537951.

It is an arithmetic number, because the mean of its divisors is an integer number (276087168).

Almost surely, 214325435040 is an apocalyptic number.

14325435040 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 14325435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19878276096).

14325435040 is an abundant number, since it is smaller than the sum of its proper divisors (25431117152).

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

14325435040 is an equidigital number, since it uses as much as digits as its factorization.

14325435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9439 (or 9394 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 14325435040 its reverse (4053452341), we get a palindrome (18378887381).

The spelling of 14325435040 in words is "fourteen billion, three hundred twenty-five million, four hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 70 74 80 112 140 148 160 185 224 259 280 296 370 518 560 592 740 1036 1120 1184 1295 1369 1480 2072 2590 2738 2960 4144 5180 5476 5920 6845 8288 9343 9583 10360 10952 13690 18686 19166 20720 21904 27380 37372 38332 41440 43808 46715 47915 54760 65401 74744 76664 93430 95830 109520 130802 149488 153328 186860 191660 219040 261604 298976 306656 327005 345691 373720 383320 523208 654010 691382 747440 766640 1046416 1308020 1382764 1494880 1533280 1728455 2092832 2419837 2616040 2765528 3456910 4839674 5232080 5531056 6913820 9679348 10464160 11062112 12099185 12790567 13827640 19358696 24198370 25581134 27655280 38717392 48396740 51162268 55310560 63952835 77434784 89533969 96793480 102324536 127905670 179067938 193586960 204649072 255811340 358135876 387173920 409298144 447669845 511622680 716271752 895339690 1023245360 1432543504 1790679380 2046490720 2865087008 3581358760 7162717520 14325435040