Search a number
-
+
144314204300 = 22527375571977
BaseRepresentation
bin1000011001100111001…
…1000000000010001100
3111210111111122011110122
42012121303000002030
54331023414014200
6150144054124112
713266145332260
oct2063163000214
9453444564418
10144314204300
1156226673742
1223b76650638
13107bb6158c6
146db05b20a0
153b4985e385
hex2199cc008c

144314204300 has 72 divisors (see below), whose sum is σ = 367572244704. Its totient is φ = 48141872640.

The previous prime is 144314204291. The next prime is 144314204323. The reversal of 144314204300 is 3402413441.

It is a self number, because there is not a number n which added to its sum of digits gives 144314204300.

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 23 ways as a sum of consecutive naturals, for example, 2760089 + ... + 2811888.

Almost surely, 2144314204300 is an apocalyptic number.

144314204300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144314204300 is an abundant number, since it is smaller than the sum of its proper divisors (223258040404).

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

144314204300 is a wasteful number, since it uses less digits than its factorization.

144314204300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5572035 (or 5572028 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 144314204300 its reverse (3402413441), we get a palindrome (147716617741).

The spelling of 144314204300 in words is "one hundred forty-four billion, three hundred fourteen million, two hundred four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 175 185 259 350 370 518 700 740 925 1036 1295 1850 2590 3700 5180 6475 12950 25900 5571977 11143954 22287908 27859885 39003839 55719770 78007678 111439540 139299425 156015356 195019195 206163149 278598850 390038390 412326298 557197700 780076780 824652596 975095975 1030815745 1443142043 1950191950 2061631490 2886284086 3900383900 4123262980 5154078725 5772568172 7215710215 10308157450 14431420430 20616314900 28862840860 36078551075 72157102150 144314204300