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144024243330 = 235115919138729
BaseRepresentation
bin1000011000100010000…
…0111000110010000010
3111202202022000121210110
42012020200320302002
54324430201241310
6150055215212150
713256024604102
oct2061040706202
9452668017713
10144024243330
1156097a26780
1223ab5517056
1310773521376
146d83c93202
153b2e184d20
hex2188838c82

144024243330 has 128 divisors (see below), whose sum is σ = 385490534400. Its totient is φ = 34142604800.

The previous prime is 144024243317. The next prime is 144024243347. The reversal of 144024243330 is 33342420441.

It is a happy number.

144024243330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3699406 + ... + 3738134.

It is an arithmetic number, because the mean of its divisors is an integer number (3011644800).

Almost surely, 2144024243330 is an apocalyptic number.

144024243330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144024243330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192745267200).

144024243330 is an abundant number, since it is smaller than the sum of its proper divisors (241466291070).

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

144024243330 is a wasteful number, since it uses less digits than its factorization.

144024243330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39000.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 144024243330 its reverse (33342420441), we get a palindrome (177366663771).

The spelling of 144024243330 in words is "one hundred forty-four billion, twenty-four million, two hundred forty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 110 118 165 177 191 295 330 354 382 573 590 649 885 955 1146 1298 1770 1910 1947 2101 2865 3245 3894 4202 5730 6303 6490 9735 10505 11269 12606 19470 21010 22538 31515 33807 38729 56345 63030 67614 77458 112690 116187 123959 169035 193645 232374 247918 338070 371877 387290 426019 580935 619795 743754 852038 1161870 1239590 1278057 1859385 2130095 2285011 2556114 3718770 4260190 4570022 6390285 6855033 7397239 11425055 12780570 13710066 14794478 22191717 22850110 25135121 34275165 36986195 44383434 50270242 68550330 73972390 75405363 81369629 110958585 125675605 150810726 162739258 221917170 244108887 251351210 377026815 406848145 436437101 488217774 754053630 813696290 872874202 1220544435 1309311303 2182185505 2441088870 2618622606 4364371010 4800808111 6546556515 9601616222 13093113030 14402424333 24004040555 28804848666 48008081110 72012121665 144024243330