Search a number
-
+
142410240200 = 23521921972441
BaseRepresentation
bin1000010010100001001…
…1111101000011001000
3111121120210222202201202
42010220103331003020
54313124010141300
6145231121403332
713201026032444
oct2045023750310
9447523882652
10142410240200
1155439960298
1223724a99548
1310577024927
146c6d795824
153a8761bad5
hex21284fd0c8

142410240200 has 72 divisors (see below), whose sum is σ = 349447686930. Its totient is φ = 53965958400.

The previous prime is 142410240199. The next prime is 142410240211. The reversal of 142410240200 is 2042014241.

It can be written as a sum of positive squares in 3 ways, for example, as 138483713956 + 3926526244 = 372134^2 + 62662^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 914021 + ... + 1058420.

Almost surely, 2142410240200 is an apocalyptic number.

142410240200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142410240200 is an abundant number, since it is smaller than the sum of its proper divisors (207037446730).

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

142410240200 is a wasteful number, since it uses less digits than its factorization.

142410240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972495 (or 1972467 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 142410240200 its reverse (2042014241), we get a palindrome (144452254441).

The spelling of 142410240200 in words is "one hundred forty-two billion, four hundred ten million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 361 380 475 722 760 950 1444 1805 1900 2888 3610 3800 7220 9025 14440 18050 36100 72200 1972441 3944882 7889764 9862205 15779528 19724410 37476379 39448820 49311025 74952758 78897640 98622050 149905516 187381895 197244100 299811032 374763790 394488200 712051201 749527580 936909475 1424102402 1499055160 1873818950 2848204804 3560256005 3747637900 5696409608 7120512010 7495275800 14241024020 17801280025 28482048040 35602560050 71205120100 142410240200