Search a number
-
+
144334213140 = 223513185043863
BaseRepresentation
bin1000011001101011111…
…1010101000000010100
3111210112220021201102210
42012122333111000110
54331044024310030
6150150051033420
713266510366135
oct2063277250024
9453486251383
10144334213140
115623699a677
1223b8129b870
13107c2800060
146db30ddc8c
153b4b4b2bb0
hex219afd5014

144334213140 has 48 divisors (see below), whose sum is σ = 435223168128. Its totient is φ = 35528421504.

The previous prime is 144334213103. The next prime is 144334213159. The reversal of 144334213140 is 41312433441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144334213098 and 144334213107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92521152 + ... + 92522711.

It is an arithmetic number, because the mean of its divisors is an integer number (9067149336).

Almost surely, 2144334213140 is an apocalyptic number.

144334213140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144334213140 is an abundant number, since it is smaller than the sum of its proper divisors (290888954988).

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

144334213140 is a wasteful number, since it uses less digits than its factorization.

144334213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185043888 (or 185043886 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 144334213140 its reverse (41312433441), we get a palindrome (185646646581).

The spelling of 144334213140 in words is "one hundred forty-four billion, three hundred thirty-four million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 185043863 370087726 555131589 740175452 925219315 1110263178 1850438630 2220526356 2405570219 2775657945 3700877260 4811140438 5551315890 7216710657 9622280876 11102631780 12027851095 14433421314 24055702190 28866842628 36083553285 48111404380 72167106570 144334213140