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14233140020 = 22511372237841
BaseRepresentation
bin11010100000101110…
…00111101100110100
31100201221011102120002
431100113013230310
5213122140440040
610312201330432
71012465460021
oct152027075464
940657142502
1014233140020
116044266840
122912796a18
13145a9ca458
14990444548
15584836a15
hex3505c7b34

14233140020 has 96 divisors (see below), whose sum is σ = 33642556416. Its totient is φ = 5012582400.

The previous prime is 14233140011. The next prime is 14233140043. The reversal of 14233140020 is 2004133241.

14233140020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14233139974 and 14233140001.

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 31 ways as a sum of consecutive naturals, for example, 1811300 + ... + 1819140.

It is an arithmetic number, because the mean of its divisors is an integer number (350443296).

Almost surely, 214233140020 is an apocalyptic number.

14233140020 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 14233140020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821278208).

14233140020 is an abundant number, since it is smaller than the sum of its proper divisors (19409416396).

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

14233140020 is a wasteful number, since it uses less digits than its factorization.

14233140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8121 (or 8119 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14233140020 its reverse (2004133241), we get a palindrome (16237273261).

The spelling of 14233140020 in words is "fourteen billion, two hundred thirty-three million, one hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 223 370 407 446 740 814 892 1115 1628 2035 2230 2453 4070 4460 4906 7841 8140 8251 9812 12265 15682 16502 24530 31364 33004 39205 41255 49060 78410 82510 86251 90761 156820 165020 172502 181522 290117 345004 363044 431255 453805 580234 862510 907610 1160468 1450585 1725020 1748543 1815220 2901170 3191287 3497086 5802340 6382574 6994172 8742715 12765148 15956435 17485430 19233973 31912870 34970860 38467946 63825740 64696091 76935892 96169865 129392182 192339730 258784364 323480455 384679460 646960910 711657001 1293921820 1423314002 2846628004 3558285005 7116570010 14233140020