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144214032300 = 223521337939749
BaseRepresentation
bin1000011001001111010…
…0110111111110101100
3111210020112010220022120
42012103310313332230
54330322243013200
6150130115112540
713263521022522
oct2062364677654
9453215126276
10144214032300
1156185074a68
1223b48ba2750
13107a3941a30
146da1178312
153b40b739a0
hex2193d37fac

144214032300 has 144 divisors (see below), whose sum is σ = 449520708000. Its totient is φ = 35485839360.

The previous prime is 144214032233. The next prime is 144214032317. The reversal of 144214032300 is 3230412441.

144214032300 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 2×1442140323002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14787826 + ... + 14797574.

Almost surely, 2144214032300 is an apocalyptic number.

144214032300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144214032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224760354000).

144214032300 is an abundant number, since it is smaller than the sum of its proper divisors (305306675700).

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

144214032300 is a wasteful number, since it uses less digits than its factorization.

144214032300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13572 (or 13565 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 144214032300 its reverse (3230412441), we get a palindrome (147444444741).

The spelling of 144214032300 in words is "one hundred forty-four billion, two hundred fourteen million, thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3793 3900 7586 9749 11379 15172 18965 19498 22758 29247 37930 38996 45516 48745 49309 56895 58494 75860 94825 97490 98618 113790 116988 126737 146235 147927 189650 194980 197236 227580 243725 246545 253474 284475 292470 295854 379300 380211 487450 493090 506948 568950 584940 591708 633685 731175 739635 760422 974900 986180 1137900 1232725 1267370 1462350 1479270 1520844 1901055 2465450 2534740 2924700 2958540 3168425 3698175 3802110 4930900 6336850 7396350 7604220 9505275 12673700 14792700 19010550 36977957 38021100 73955914 110933871 147911828 184889785 221867742 369779570 443735484 480713441 554669355 739559140 924448925 961426882 1109338710 1442140323 1848897850 1922853764 2218677420 2403567205 2773346775 2884280646 3697795700 4807134410 5546693550 5768561292 7210701615 9614268820 11093387100 12017836025 14421403230 24035672050 28842806460 36053508075 48071344100 72107016150 144214032300