Search a number
-
+
144325020180 = 223511218674273
BaseRepresentation
bin1000011001101001110…
…0010000101000010100
3111210112020222200001210
42012122130100220110
54331034201121210
6150145122021420
713266336300405
oct2063234205024
9453466880053
10144325020180
1156231790890
1223b7a1a7870
13107c0931933
146db1bc99ac
153b4a798e20
hex219a710a14

144325020180 has 48 divisors (see below), whose sum is σ = 440847336384. Its totient is φ = 34987883520.

The previous prime is 144325020149. The next prime is 144325020187. The reversal of 144325020180 is 81020523441.

144325020180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1443250201802 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144325020187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109336477 + ... + 109337796.

It is an arithmetic number, because the mean of its divisors is an integer number (9184319508).

Almost surely, 2144325020180 is an apocalyptic number.

144325020180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144325020180 is an abundant number, since it is smaller than the sum of its proper divisors (296522316204).

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

144325020180 is a wasteful number, since it uses less digits than its factorization.

144325020180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218674296 (or 218674294 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 144325020180 in words is "one hundred forty-four billion, three hundred twenty-five million, twenty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 218674273 437348546 656022819 874697092 1093371365 1312045638 2186742730 2405417003 2624091276 3280114095 4373485460 4810834006 6560228190 7216251009 9621668012 12027085015 13120456380 14432502018 24054170030 28865004036 36081255045 48108340060 72162510090 144325020180