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14435430030 = 23257100922709
BaseRepresentation
bin11010111000110101…
…10010111010001110
31101021000210211021200
431130122302322032
5214030432230110
610344225210330
71020503062560
oct153432627216
941230724250
1014435430030
11613847326a
12296a4909a6
1314908a6b98
149ad261330
155974946c0
hex35c6b2e8e

14435430030 has 96 divisors (see below), whose sum is σ = 42938251200. Its totient is φ = 3296111616.

The previous prime is 14435430007. The next prime is 14435430043. The reversal of 14435430030 is 3003453441.

14435430030 is a `hidden beast` number, since 1 + 4 + 4 + 354 + 300 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14435429976 and 14435430003.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 624316 + ... + 647024.

It is an arithmetic number, because the mean of its divisors is an integer number (447273450).

Almost surely, 214435430030 is an apocalyptic number.

14435430030 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 14435430030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21469125600).

14435430030 is an abundant number, since it is smaller than the sum of its proper divisors (28502821170).

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

14435430030 is a wasteful number, since it uses less digits than its factorization.

14435430030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23738 (or 23735 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 14435430030 its reverse (3003453441), we get a palindrome (17438883471).

The spelling of 14435430030 in words is "fourteen billion, four hundred thirty-five million, four hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1009 2018 3027 5045 6054 7063 9081 10090 14126 15135 18162 21189 22709 30270 35315 42378 45405 45418 63567 68127 70630 90810 105945 113545 127134 136254 158963 204381 211890 227090 317835 317926 340635 408762 476889 635670 681270 794815 953778 1021905 1430667 1589630 2043810 2384445 2861334 4768890 7153335 14306670 22913381 45826762 68740143 114566905 137480286 160393667 206220429 229133810 320787334 343700715 412440858 481181001 687401430 801968335 962362002 1031102145 1443543003 1603936670 2062204290 2405905005 2887086006 4811810010 7217715015 14435430030