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14181185820 = 22351631450019
BaseRepresentation
bin11010011010100001…
…11011100100011100
31100121022101212210110
431031100323210130
5213020340421240
610303104010020
71011265043034
oct151520734434
940538355713
1014181185820
116017a0088a
1228b9300910
131450009719
1498759c8c4
1557eec2c80
hex34d43b91c

14181185820 has 48 divisors (see below), whose sum is σ = 39950951040. Its totient is φ = 3758446656.

The previous prime is 14181185807. The next prime is 14181185849. The reversal of 14181185820 is 2858118141.

14181185820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141811858202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 715230 + ... + 734789.

It is an arithmetic number, because the mean of its divisors is an integer number (832311480).

Almost surely, 214181185820 is an apocalyptic number.

14181185820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14181185820 is an abundant number, since it is smaller than the sum of its proper divisors (25769765220).

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

14181185820 is a wasteful number, since it uses less digits than its factorization.

14181185820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450194 (or 1450192 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 39.

The spelling of 14181185820 in words is "fourteen billion, one hundred eighty-one million, one hundred eighty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1630 1956 2445 3260 4890 9780 1450019 2900038 4350057 5800076 7250095 8700114 14500190 17400228 21750285 29000380 43500570 87001140 236353097 472706194 709059291 945412388 1181765485 1418118582 2363530970 2836237164 3545296455 4727061940 7090592910 14181185820