Search a number
-
+
142269347800 = 23523147488227
BaseRepresentation
bin1000010001111111101…
…0011111011111011000
3111121012222212200200201
42010133322133133120
54312331423112200
6145205125511544
713164365334436
oct2043772373730
9447188780621
10142269347800
1155377379798
12236a58725b4
1310553a94348
146c58b9bd56
153a7a08ac6a
hex211fe9f7d8

142269347800 has 96 divisors (see below), whose sum is σ = 348711966720. Its totient is φ = 53900150400.

The previous prime is 142269347783. The next prime is 142269347863. The reversal of 142269347800 is 8743962241.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47287 + ... + 535513.

It is an arithmetic number, because the mean of its divisors is an integer number (3632416320).

Almost surely, 2142269347800 is an apocalyptic number.

142269347800 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 142269347800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174355983360).

142269347800 is an abundant number, since it is smaller than the sum of its proper divisors (206442618920).

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

142269347800 is a wasteful number, since it uses less digits than its factorization.

142269347800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488321 (or 488312 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 142269347800 in words is "one hundred forty-two billion, two hundred sixty-nine million, three hundred forty-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 47 50 62 94 100 124 155 188 200 235 248 310 376 470 620 775 940 1175 1240 1457 1550 1880 2350 2914 3100 4700 5828 6200 7285 9400 11656 14570 29140 36425 58280 72850 145700 291400 488227 976454 1952908 2441135 3905816 4882270 9764540 12205675 15135037 19529080 22946669 24411350 30270074 45893338 48822700 60540148 75675185 91786676 97645400 114733345 121080296 151350370 183573352 229466690 302700740 378375925 458933380 573666725 605401480 711346739 756751850 917866760 1147333450 1422693478 1513503700 2294666900 2845386956 3027007400 3556733695 4589333800 5690773912 7113467390 14226934780 17783668475 28453869560 35567336950 71134673900 142269347800