Search a number
-
+
14457340420 = 22529311634933
BaseRepresentation
bin11010111011011100…
…11000001000000100
31101022120000222200121
431131232120020010
5214102034343140
610350330551324
71021160236345
oct153556301004
941276028617
1014457340420
116149878926
122975898544
1314952a8a03
149b21260cc
1559937164a
hex35db98204

14457340420 has 96 divisors (see below), whose sum is σ = 32625976320. Its totient is φ = 5369172480.

The previous prime is 14457340399. The next prime is 14457340427. The reversal of 14457340420 is 2404375441.

It is not an unprimeable number, because it can be changed into a prime (14457340427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2928274 + ... + 2933206.

It is an arithmetic number, because the mean of its divisors is an integer number (339853920).

Almost surely, 214457340420 is an apocalyptic number.

14457340420 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 14457340420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16312988160).

14457340420 is an abundant number, since it is smaller than the sum of its proper divisors (18168635900).

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

14457340420 is a wasteful number, since it uses less digits than its factorization.

14457340420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5165 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The spelling of 14457340420 in words is "fourteen billion, four hundred fifty-seven million, three hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 163 290 310 326 580 620 652 815 899 1630 1798 3260 3596 4495 4727 4933 5053 8990 9454 9866 10106 17980 18908 19732 20212 23635 24665 25265 47270 49330 50530 94540 98660 101060 143057 146537 152923 286114 293074 305846 572228 586148 611692 715285 732685 764615 804079 1430570 1465370 1529230 1608158 2861140 2930740 3058460 3216316 4020395 4434767 8040790 8869534 16081580 17739068 22173835 23318291 24926449 44347670 46636582 49852898 88695340 93273164 99705796 116591455 124632245 233182910 249264490 466365820 498528980 722867021 1445734042 2891468084 3614335105 7228670210 14457340420