Search a number
-
+
14525423720 = 2352955722481
BaseRepresentation
bin11011000011100100…
…00110000001101000
31101111022010222102022
431201302012001220
5214222002024340
610401202124012
71022645031053
oct154162060150
941438128368
1014525423720
11618424a915
122994650608
1314a6425ca2
149bb1a9a9a
155a031e3b5
hex361c86068

14525423720 has 64 divisors (see below), whose sum is σ = 33871381200. Its totient is φ = 5599498240.

The previous prime is 14525423719. The next prime is 14525423741. The reversal of 14525423720 is 2732452541.

It can be written as a sum of positive squares in 8 ways, for example, as 522488164 + 14002935556 = 22858^2 + 118334^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634880 + ... + 657360.

Almost surely, 214525423720 is an apocalyptic number.

14525423720 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 14525423720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16935690600).

14525423720 is an abundant number, since it is smaller than the sum of its proper divisors (19345957480).

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

14525423720 is a wasteful number, since it uses less digits than its factorization.

14525423720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23078 (or 23074 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The spelling of 14525423720 in words is "fourteen billion, five hundred twenty-five million, four hundred twenty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 557 580 1114 1160 2228 2785 4456 5570 11140 16153 22280 22481 32306 44962 64612 80765 89924 112405 129224 161530 179848 224810 323060 449620 646120 651949 899240 1303898 2607796 3259745 5215592 6519490 12521917 13038980 25043834 26077960 50087668 62609585 100175336 125219170 250438340 363135593 500876680 726271186 1452542372 1815677965 2905084744 3631355930 7262711860 14525423720